What is the formula for compound interest?

Shannon 169 answers
What is the formula for calculating compound interest and can someone explain how to use it?
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Hi Shannon, The formula to find compound interest is A = P(1 + r/n)^nt. In this formula, A stands for the total amount that accumulates. P is the original principal; that's the money we start with. The r is the interest rate. n is the number of times the interest is compounded annually. t is the overall tenure. Let me know if you have further questions. Mustafa
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Timothy Scott
Hello Shannon, The formula for compound interest is: A = P * (1 + r/n)^(nt) Where: A = the final amount P = the principal amount (initial investment) r = the annual interest rate (decimal) n = the number of times interest is compounded per year t = the number of years Keep in mind that this formula assumes interest is compounded regularly. If interest is compounded continuously, the formula changes to: A = P * e^(rt) Where "e" is the mathematical constant approximately equal to 2.71828.
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A = P(1 + r/n)^(nt) Where: A represents the future value of the investment/loan, including interest P is the principal amount (the initial investment or loan amount) r is the annual interest rate (expressed as a decimal) n is the number of times that interest is compounded per year t is the number of years the money is invested or borrowed for
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The formula for calculating compound interest is: A = P * (1 + r/n)^(nt) Where: 1. A is the final amount including principal and interest 2. P is the initial principal amount r is the annual interest rate (expressed as a decimal) 3. n is the number of times that interest is compounded per year 4. t is the number of years To use the formula: - Convert the annual interest rate to a decimal by dividing it by 100. - Divide the annual interest rate by the compounding frequency (n) to get the periodic interest rate. - Multiply the compounding frequency (n) by the number of years (t) to get the total number of compounding periods (nt). - Raise the expression (1 + periodic interest rate) to the power of the total compounding periods (nt). - Multiply the initial principal amount (P) by the result of step 4 to get the final amount (A). This formula helps you calculate the total amount you'll have after earning compound interest on an initial investment over a specific period of time with a given interest rate and compounding frequency.
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The formula for calculating compound interest is: A = P(1 + r\/n)^(nt) Where: A = the future value of the investment\/loan, including interest P = the principal investment\/loan amount r = the annual interest rate (decimal) n = the number of times that interest is compounded per year t = the number of years the money is invested\/borrowed for
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Formula for Compound Interest ; A=P×(1+ r/n)^nt, Where A = final amount after interest P = Principal amount or the initial loan amount r = rate of interest per annum n = number of times the interest is compounded per year t = number of years the interest is applied for. Eg : Calculate the value of investment, after a period of 3 years, for a principal amount of £5000 in Savings account at an annual interest rate of 6%, compounded annually. Here, P = £5000 n = 1 year r = 6%, ( equals to 0.06 in decimal) So applying the formula; A=P×(1+ r/n)^nt = 5000 * (1+ 0.06/1) ^1*3 = 5000 * 1.191016 = 5955.08 Amount = £5955.08
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A = p(1 + r/n)^(nt)
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Olatunji Abiola
Verified Tutor
The formula for calculating compound interest, CI = Amount - Principal. This means the value of the compounded interest can only be obtained by finding the difference the total amount accrued and the starting principal. Mathematically, CI = P(1 + r/n) ^ nt - P. Where P is principal, r is rate, n is number of times interest is compounded, and t represents time (years). I hope this helps.
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The formula for compound interest can be calculated using the following equation: $$ A=P \times\left(1+\frac{r}{n}\right)^{n t} $$ Where: - $A$ is the final amount or the future value of the investment/loan. - $P$ is the principal amount (initial investment/loan amount). - $r$ is the annual interest rate (expressed as a decimal). - $n$ is the number of times the interest is compounded per year. - $t$ is the number of years the money is invested/borrowed for. This formula takes into account the effect of compounding, where the interest is added to the initial principal and accumulated interest over each compounding period. The more frequently the interest is compounded (higher $n$ value), the more significant the compounding effect on the final amount. It's important to note that if the interest is compounded continuously, the formula simplifies to: $$ A=P \times e^{r t} $$ Where $e$ is the base of the natural logarithm (approximately 2.71828). Keep in mind that when using these formulas, ensure that the units for time (years) and interest rate are consistent. If the interest rate is given as an annual rate, then time should be in years. If the interest rate is different (e.g., monthly), make sure to adjust the formula accordingly.
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A = P(1 + r/n)nt In the formula A = Accrued amount (principal + interest) P = Principal amount r = Annual nominal interest rate as a decimal R = Annual nominal interest rate as a percent r = R/100 n = number of compounding periods per unit of time t = time in decimal years; e.g., 6 months is calculated as 0.5 years. Divide your partial year number of months by 12 to get the decimal years. I = Interest amount
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Compound interest builds up from the original sum of money over the years it is left in the account. Banks no longer offer this as a flat rate each year has a much smaller value if awarded each year as you would need to keep reinvesting it together with the interest earned to accumulate the same profit over say a ten year term. Check it out separately with your calculator.
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A = P ( 1 + R/ N ) nt
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=P(1+i)^n P= principal amount I= interest N= number of years ( time period)
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=P(1+i)^n P= principal amount I= interest N= number of years ( time period)
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The formular for Compound Interest, CI CI = P(1 + r)^n where P = Principal or borrowed amount r is the rate placed on the interest for n years.
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Hi Shannon, Here’s the compound interest formula: A = P (1 + [r / n]) ^ nt A = the amount of money accumulated after n years, including interest P = the principal amount (your initial deposit or your initial credit card balance) r = the annual rate of interest (as a decimal) n = the number of times the interest is compounded per year t = the number of years (time) the amount is deposited for. It’s important to note that the annual interest rate is divided by the number of times it’s compounded a year. This gives you the daily, monthly or annual average interest rate, depending on compounding frequency.
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The formula for compound interest is: Cn=C0*(1+r)^n where C0 is the current value; r is the interest per compounding periods (in fractional form); n is the number of compounding periods; Cn is the future value.
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Anil JAIN
A = 10000 * (1 + 8) ^ 5
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A=P(1 +R/100)^N
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A=P(1+r/n)nt
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A=S(1+r/100)^n
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(1+i/100)^y, where i is the percent interest rate, and y is the number of years.
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Compound Interest formula A=PR^n where A is the compound accumulated, P is the principal, R is equal to (1+r/100) where r is the rate in percentage and n is the term or number or times interest is paid.
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Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest. Compound interest is calculated by multiplying the initial principal amount (P) by one plus the annual interest rate (R) raised to the number of compound periods (nt) minus one. That means, CI = P[(1 + R)^nt – 1]
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The formula for compound interest is: A = P × (1 + r/n)^(nt) Where: A is the final amount after interest. P is the principal amount (initial investment or loan amount). r is the annual interest rate (decimal). n is the number of times interest is compounded per year. t is the number of years. You use this formula to calculate the final amount when interest is compounded.
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Compound amount, A = P(1 + r)t Compound interest, C.I = P(1 + r)t - P . Where P is the principal amount r is the rate of interest(decimal obtained by dividing rate by 100) n is the number of times the interest is compounded annually t is the overall tenure.
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There are two formulas for compound interest. One is the Discrete Compound Interest Formula. This is used for interest that is not compounded continuously. A = P(1 + r/n)^nt. The variables are defined below: A = the amount after time t P = the initial amount or principal r = the interest rate in decimal form n = the number of compounding periods in 1 year t = time in years. The other compound interest formula is the Continuous Compound Interest Formula, which is used for interest that is compounded continuously. A = Pe^rt The variables are defined below: A = the amount after time t P = the initial amount or principal r = the interest rate in decimal form t = time in years.
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A=p(1+r/n)^nt
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Teresa Mae M. Sayno
Compound interest is calculated on the initial principal amount and the interest earned over time. The following is the compound interest formula: is A = P(1 + r/n)^nt Where, A = amount P = principal r = rate of interest n = number of times interest is compounded per year t = time (in years)
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Edmore Kurehwatira
The formula for calculating compound interest is: A = P(1 + r/n)^(nt) Where: A = the future value of the investment/loan, including interest P = the principal amount (the initial investment or loan amount) r = the annual interest rate (expressed as a decimal) n = the number of times that interest is compounded per year t = the number of years the money is invested or borrowed for To use the compound interest formula, follow these steps: Determine the values for P, r, n, and t. P: The principal amount is the initial amount of money you are investing or borrowing. r: The annual interest rate is the rate at which your investment grows or the cost of borrowing money. n: The number of times interest is compounded per year. For example, if interest is compounded quarterly, n would be 4. t: The number of years you plan to keep the money invested or the duration of the loan. Plug the values into the formula. Substitute the values of P, r, n, and t into the formula: A = P(1 + r/n)^(nt). Calculate the future value. Raise the expression (1 + r/n)^(nt) to the power of nt. Multiply the result by the principal amount P. The final result, A, represents the future value of your investment or the amount you will owe on a loan after the given time period, including the effect of compound interest. It's important to note that the formula assumes the interest is compounded at regular intervals. If the interest is compounded continuously, the formula changes slightly to A = Pe^(rt), where e is the base of the natural logarithm. Calculating compound interest allows you to determine the growth of an investment or the cost of borrowing over time, taking into account the compounding effect of interest.
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Shameeha Azmy
A=P(1+r/n)^nt A=Final amount P=principle amount r=rate of interest n=no of times interest compounded for a year T=no of years
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A = P(1 + r/n)^nt where: A is the final amount of money after interest has been compounded P is the principal amount, which is the amount of money you invest initially r is the interest rate, expressed as a decimal n is the number of times per year that interest is compounded t is the number of years that the money is invested
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Said
Hi Shannon. There are actually different formulas depending on what you need: to convert the yearly interest into monthly, to have continuous compounding, to have other manipulations, etc. I will give you the most basic example of formula, which shows how much £1 accumulates over 1 year at rate of i%. This is £1*(1+i%)^1year = 1+i%. For two years, you would do £1*(1+i%)^2. This is all assuming that your i% is annualised (i.e., it earns i% as a portion of your initial £1 over one full year). In order to explain how to use it for your situation - I need more details however, of what you are trying to achieve. Let me know!
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Sania
A=p(1+r/n)^nt
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A=P(1+r/100)^n Compound interest=A-P
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Formula is A=P(1+r/100)^n A = Amount / (interest+ principal) P= principal r= rate n= time /period
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Olanrewaju Tunde Felix
Amount= p(1+r/100)^t Where p=principal, r= rate , t = time Compound interest= Amount - principal
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Niraj Kumar
CI= Principal (1+ Rate/100)^T - Principal
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Dr. Jitendra Singh
The compound interest is = A-P =P(1+r/n)^(nt)-P where A is amount P is principal amount r is rate of interest t is time n is no of cycles in a year
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Formula of compound interest is A= P(1+r\n)nt use that as A is final amount P is initial principal balance r is interested rate n is number of time interested And t is number of time period elapsed
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Ranjeet singh
Amount=principle(1+r/n)nt
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The Formular for compound interest is A=P x (1 + nr)nt Where; A is the amount of the money accumulated after n years, including the interest. P is the principal amount or Initial Investment r is the annual interest rate n is the number of times the interest is compounded per year t is the number of years nr is the interest rate per compounding period. nt is the total number of compounding periods. NB: Remember to convert the interest rate to decimal by dividing it by 100 if you are using percentage interest. Hope this helps
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A= P{1+(r/100)^n} CI= A-P A= AMOUNT P= PRINCIPAL R= RATE n= time
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Shrook Mohamed
The formula is Initial x multiplier to the power time Initial: The invest amount( for example when you put 8000 in the bank) Multiplier:the compound interest +100%(for example if the interest for a year is 3% then 3%+100%=1.03) Time :the number of years (for example invest for 4 years) The answer 8000 x 1.03 ⁴=9004.07048
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Shrook Mohamed
8000× 1.03⁴ =9004.07048
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Asad Ali
Hi shamon this is the formula of compound interest A = P(1 + r/n)^nt
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A=P(1+r/n)nt
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The formula for compound interest is: A = P(1 + r/n)^nt where: A is the final amount after interest has been compounded P is the principal amount, or the amount of money you invest initially r is the annual interest rate, expressed as a decimal n is the number of times per year the interest is compounded t is the number of years the money is invested For example, if you invest $1000 at an annual interest rate of 5%, compounded annually, the formula would look like this: A = 1000(1 + 0.05)^1 After one year, the amount of money in your account would be $1050. This is because you would earn 5% interest on the original $1000, which would give you $50 in interest. The next year, you would earn interest on both the original $1000 and the $50 in interest, so you would earn a little bit more interest than you did in the first year. The more often the interest is compounded, the more money you will earn in interest. For example, if the interest were compounded monthly instead of annually, the formula would look like this: A = 1000(1 + 0.05/12)^12
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Compound Interest= A?P(1-r/100)power t- P P is the principal or value of the investment and t is the time in years.
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Ravish kumar Jha
C.I .= A - P ( where A is amount and P is Principal) It's understood that , on the whole there are variables like A, P, R,N and C.I. ,If 4 out of 5 variables is given or u can find those depending upon the question type , you can easily find ur required value of the variable. Hope this information will help u ..if any assistance needed, I can be contacted on +91 8076344603(WhatsApp)
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Chandrika
Compound interest is the interest that's calculated not only on the initial principal amount but also on the accumulated interest from previous periods. The formula for calculating compound interest is: A = P(1 + r/n)^nt Where: A is the final amount, including both the principal and the accumulated interest. P is the principal amount (initial investment or loan amount). r is the annual interest rate (expressed as a decimal). n is the number of times that interest is compounded per year. t is the number of years. Here's an example: Let's say you have an initial investment of $10,000 with an annual interest rate of 6%, compounded quarterly over a period of 5 years. P=$10,000 r=0.06 (6% as a decimal) n=4 (quarterly compounding) t=5 years Substitute these values into the formula: A=13498.588075760032 So, the final amount after 5 years would be approximately $13,498.59. Compound interest allows your investment to grow faster because the interest earned in each compounding period is added to the principal, resulting in a larger base for subsequent interest calculations.
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The formula for calculating compound interest is: A = P * (1 + r/n)^(nt) Where: 1. A is the final amount including principal and interest 2. P is the initial principal amount r is the annual interest rate (expressed as a decimal) 3. n is the number of times that interest is compounded per year 4. t is the number of years To use the formula: - Convert the annual interest rate to a decimal by dividing it by 100. - Divide the annual interest rate by the compounding frequency (n) to get the periodic interest rate. - Multiply the compounding frequency (n) by the number of years (t) to get the total number of compounding periods (nt). - Raise the expression (1 + periodic interest rate) to the power of the total compounding periods (nt). - Multiply the initial principal amount (P) by the result of step 4 to get the final amount (A). This formula helps you calculate the total amount you'll have after earning compound interest on an initial investment over a specific period of time with a given interest rate and compounding frequency
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Tasneem Huzaifa Anis
A=P(1+R/100)^n Where A is the amount P is the principal R is the rate of interest n is the number of years CI = A - P
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The formula for calculating compound interest is: \[ A = P \times \left(1 + \frac{r}{n}\right)^{nt} \] Where: - \( A \) is the final amount including principal and interest. - \( P \) is the principal amount (initial investment). - \( r \) is the annual interest rate (decimal form). - \( n \) is the number of times interest is compounded per year. - \( t \) is the number of years. To use the formula, plug in the values for \( P \), \( r \), \( n \), and \( t \), then calculate \( A \). The result \( A \) will be the total amount including both the initial principal and the accumulated interest over the specified time. For example, let's say you invest $1000 at an annual interest rate of 5% compounded quarterly for 3 years: - \( P = 1000 \) - \( r = 0.05 \) - \( n = 4 \) (quarterly compounding) - \( t = 3 \) Plug these values into the formula: \[ A = 1000 \times \left(1 + \frac{0.05}{4}\right)^{4 \times 3} \] Calculate the result to find the final amount.
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Hi Shannon , the best formula for compound interest would be A = P (1 + r/n)^n*t P= Principal r= rate in decimal e.g 5% = 0.05 n= number of times compounded => 12/number of months (e.g if it's compounded annually, that's every 12 months, so n =12/12= 1) t= time (generally in years)
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Richa Singh
Hello Shannon, The formula for compound interest is: A = P * (1 + r/n)^(nt) Where: A = the final amount P = the principal amount (initial investment) r = the annual interest rate (decimal) n = the number of times interest is compounded per year t = the number of years for which interest is to be calculated.
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The formula for calculating compound interest is: A=P×(1+ r/n)^nt Where: A is the final amount (including principal and interest) P is the principal amount (initial investment) r is the annual interest rate (as a decimal) n is the number of times the interest is compounded per year t is the number of years
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The formula for compound interest is: A=P(1+r/ n)nt
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Amount = Principal amount(1+ rate of interest/100)time Compund interest= amount - principal amount
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Compound interest, can be calculated using the formula FV = P*(1+R/N)^(N*T), where FV is the future value of the loan or investment, P is the initial principal amount, R is the annual interest rate, N represents the number of times interest is compounded per year, and T represents time in years.
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Mohit Panwar
= P (100+R/100)^n Where P is the sum amount on R rate for n years So for example What would be the compound interest on 1000 dollars for at rate of 10 percent for 2 years 1000(110/100)^2 that would give . 1210 So 1210-1000 =210 So 210 is amount we get from compound interest
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The compound interest formula is ((P*(1+i)^n) - P), where P is the principal, i is the annual interest rate, and n is the number of periods.
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The formula we use to find compound interest is A = P(1 + r/n)^nt. In this formula, A stands for the total amount that accumulates. P is the original principal; that's the money we start with. The r is the interest rate.
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Saptarshi Manna
Hey Shanon, The answer is A=P(1+R/100)^n Where A is the amount one have to pay including all the interest at the end of the year. P is the principal which means on how much money the person is going to pay interest. R is the rate of interest N is the time for how long the interest will continue. Hope this will help you
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Akshay Balaji
Initial investment x (1 + interest rate as a decimal)^n Eg. 500 x 1.02^x
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Interest = Amount - Principal = Principal(1+ r/100)^n - Principal
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Hi Shannon, Compound interest is a method of calculating interest on an initial amount of money, where both the principal (initial amount) and the accumulated interest from previous periods are considered. The formula for compound interest is: A=P×(1+ (n/r))^nt Where: A = the future value (including interest) P = the principal amount (initial investment) r = annual interest rate (expressed as a decimal) n = number of times interest is compounded per year t = number of years This formula takes into account the frequency of compounding (n), allowing interest to be earned on previously earned interest. As a result, compound interest usually leads to higher returns compared to simple interest, where interest is calculated only on the principal amount. Alternatively, you can also compute compound interest using the simple interest formula S.I = P * R * T Where; S.I = simple interest R = Rate P = Principal ( initial money) T = time ( time in years ) Where you will have to calculate the simple interest on the initial money (principal) yearly,and for each subsequent year the principal will be ( New Principal= Old Principal+ interest that year), and also the value of T (time) will always be (1). The final answer will have compounded the interest.
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A=P(1+r/n)n/t
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A = P(1 + r/n)nt
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Ishola Taofeek Kolade
The formula for calculating compound interest is : A = P(1 + r/n)^nt Where : A = The amount of money in the account at the end of the period including interest earned. P = principal amount, which is the amount of money deposited initially. r = interest rate. n = The number of times per year the interest is compounded. t = The number of years the money is invested. Hope this helps.
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A = P * (1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate (expressed as a decimal), n is the number of times interest is compounded per year, and t is the number of years.
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Ashutosh Kumar
The compound interest is obtained by subtracting the principal amount from the compound amount. Hence, the formula to find just the compound interest is as follows: CI = P (1 + r)^t - P. In the above expression, P is the principal amount. r = rate of interest annually. t= time yearly
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The formula for compound interest is: A = P(1 + r/n)^nt Where: A is the final amount after interest has been compounded P is the principal amount, which is the amount of money you invest initially r is the annual interest rate, expressed as a decimal n is the number of times per year that interest is compounded t is the number of years that the money is invested For example, let's say you invest $1000 at an annual interest rate of 5%, compounded annually. After 1 year, your investment would be worth $1050. After 2 years, it would be worth $1102.50. And after 3 years, it would be worth $1157.63. As you can see, the amount of interest you earn each year increases over time, because you are also earning interest on the interest that you have already earned. This is the power of compound interest! Here are some additional things to keep in mind about the compound interest formula: The principal amount (P) must always be positive. The interest rate (r) must be a positive number, but it can be expressed as a decimal or a percentage. The number of times per year that interest is compounded (n) must be a positive integer. The number of years that the money is invested (t) must be a positive number.
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The formula for compound interest is: A = P * (1 + r/n)^(nt) Where: - A = the future value of the investment/loan, including interest - P = the principal amount (initial investment/loan amount) - r = annual interest rate (decimal) - n = number of times interest is compounded per year - t = number of years
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Sayani Hazra
C.I =P(1+r/100)^nt - P
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Let's say its £5000 at 2% interest over 5 years. You need to add the original value as a percentage (100%) so in this case you'd get 102% and convert it into a decimal by dividing by 100 (1.02) Then the number of years is the exponent /index The formula is: (The ^ is the exponent / index) So my calculation would be: £5000 x 1.02^5 I hope that helps
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Amount = Principle (1 + rate/100)^years
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Amount = Principle (1 + rate/100)^years Compound Interest = Amount - Principle
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Oluwaleke
A = P ( 1 + I )^n A = Amount P = Principal I = Interest n = period in years ( if given in months, divide by 12) ^ = raised to the power of
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Compound interest, can be calculated using the formula FV = P*(1+R/N)^(N*T), where FV is the future value of the loan or investment, P is the initial principal amount, R is the annual interest rate, N represents the number of times interest is compounded per year, and T represents time in years.
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As we know A = P * (1 + r/n)^(nt) Whereas: A = Final amount; P = Principal amount (initial investment); r = Annual interest rate (decimal); n = Number of times interest is compounded per year; t = Number of years
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A=P×(1+ n r ​ ) nt Where: � A is the final amount after � t years. � P is the principal amount (initial investment or loan amount). � r is the annual interest rate (decimal). � n is the number of times the interest is compounded per year. � t is the number of years. In this formula, the term ( 1 + � � ) � � (1+ n r ​ ) nt represents the compounding factor, which takes into account how many times the interest is compounded per year and over how many years. This factor is raised to the power of � � nt to calculate the total compounding effect over the given time period.
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Hi Shannon, I hope you are doing well. I'll try to explain to you. Compound interest is a concept in finance where the interest on a sum of money is calculated based on the initial principal amount and the accumulated interest from previous periods. The formula for calculating compound interest is: A = P*(1 + r/n)^nt Where: - A) is the final amount (including both principal and interest) - P) is the initial principal amount (the starting amount of money) - r) is the annual interest rate (expressed as a decimal) - n) is the number of times interest is compounded per year -t) is the number of years the interest is applied for Let's break down the formula with an easy-to-understand example: Suppose you have $1000 that you deposit into a bank account with an annual interest rate of 5%, and the interest is compounded annually (meaning (n = 1). You want to calculate the amount of money you'll have after 3 years. Given values: (P = 1000) (initial amount) (r = 0.05) (5% annual interest rate as a decimal) (n = 1) (compounded annually) (t = 3) (3 years) Plug these values into the formula: \[ A = 1000 \times \left(1 + \frac{0.05}{1}\right)^{1 \times 3} \] Simplify the fraction: [ A = 1000 \times (1 + 0.05)^3 \] Calculate inside the parentheses: [ A = 1000 \times (1.05)^3 Calculate the exponent: A = 1000 \times 1.157625 A = 1157.625 So, after 3 years, with an initial deposit of $1000 at a 5% annual interest rate compounded annually, you would have approximately $1157.63. In this example, the interest earned in each year is added to the principal amount, and then the interest for the next year is calculated based on the new total amount. This compounding effect is what leads to the growth of your money over time. Compound interest is a powerful concept that allows your investments to grow faster compared to simple interest, where interest is only calculated based on the initial principal.
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Hello Shannon, the compound interest formula is stated as: A=P(1+r/100)^n where; A is the accumulated amount P is the initial investment/the Principal investment r is the annual rate of interest and n is the number of year. Depending on the manner in which the interest is compounded, the magnitude of the variables changes and so does the formula. If it compounded quarterly, r is divided by 4 while n is multiplied by 4 in the formula. If it's semi-annually, the 4 in 'quarterly' is replaced with two and that applies for any number of financial periods to which the year is split. If it's months, r÷12 and n x 12. !!!
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Godspower
Compound interest= A - P where A = P(1 - r/100)^n A= Amount P = Principal r = rate n = number of years
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Kelechi
A=P×(1+r/n)nt A is the final amount after interest. � P is the principal amount (initial investment). � r is the annual interest rate (expressed as a decimal). � n is the number of times interest is compounded per year. � t is the number of years the money is invested or borrowed for. For example, let's say you invest $1000 at an annual interest rate of 6% compounded annually for 3 years: P=1000 � = 0.06 r=0.06 (6% converted to decimal) � = 1 n=1 (compounded annually) � = 3 t=3 Substitute these values into the formula: � = 1000 × ( 1 + 0.06 1 ) 1 × 3 A=1000×(1+ 1 0.06 ​ ) 1×3 Calculate the expression within the parentheses:
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Hi Shannon The formula of compound interest is expressed as ci=p(1+r)^n, where ci is the compound interest, p is the principal amount, r is the rate of interest and n is the number of compoundings. Substitute the given values of p, r and n in the the above mentioned formula to obtain the corresponding value of the compound interest.
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Godspower
Compound interest= A - P where A = P(1 + r/100)^n A= Amount P = Principal r = rate n = number of years Write an answer
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A=P(1+r/100)^n, where P is the principal amount, r is the rate of interest and n is the number of years or the time period
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Compound interest formula A= P(1+r/n)^nt. Inthis formula A stand for the total amount that's accumulates.P is the original principal; that is the money we start with.The r is the interest rate.
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V = Vo x m^t Where; V = value after t years Vo = initial value m = multiplying number (eg 2% annual interest means m=1.02 and 5.4% annual interest means m=1.054 etc) t = number of years For example if we had £1000 in a bank account with interest rate 3% for 5 years At the end of 5 years we would have; 1000 x 1.03^5 = 1159.274074 £1159.27
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The formula for calculating compound interest is: A = P(1 + r/n)^(nt) Where: A = the future value of the investment/loan, including interest P = the principal amount (initial investment or loan) r = the annual interest rate (as a decimal) n = the number of times that interest is compounded per year t = the number of years To use this formula, follow these steps: 1. Identify the values: Determine the initial principal amount, interest rate, compound frequency, and the duration of the investment/loan. 2. Convert the interest rate: If the interest rate is given as a percentage, convert it to a decimal. For example, if the interest rate is 5%, it becomes 0.05. 3. Calculate the compound factor: Divide the interest rate by the compounding frequency. For example, if the compounding is quarterly (n = 4), and the interest rate is 0.05, then the compound factor is 0.05/4 = 0.0125. 4. Calculate the exponent factor: Multiply the compounding frequency by the number of years. For example, if compounding is quarterly (n = 4) and the investment duration is 2 years, then the exponent factor is 4 * 2 = 8. 5. Plug the values into the formula: Substitute the values obtained from the above steps into the compound interest formula. 6. Solve for A: Evaluate the formula to determine the future value of the investment/loan. Compound interest is a powerful concept because it allows your money to grow exponentially over time. By reinvesting the interest earned back into the principal amount, your investments can potentially achieve significant growth.
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A = P(1 + r/n)^nt where: A is the future value of the investment P is the principal amount invested r is the annual interest rate n is the number of times per year the interest is compounded t is the number of years the investment is held For example, if you invest $1000 at an annual interest rate of 5%, compounded monthly (n = 12), for 5 years (t = 5), the future value of your investment would be: A = 1000(1 + 0.05/12)^12(5) = 1276.28
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Amount = Principal ( 1+ rate/100) ^time A= P(1+r/100)^n
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A=P(1+r/n)^nt This is the formula for compound interest, but what does it mean? The easiest way to see this it to start with n=1 and t=1. Now A=P(1+r) P is the initial investment and A is the value of the money after t time. r is just a decimal, that represents a percentage, so if r was 5%, r=0.05. So if we want to find the interest rate after t=1, we look at 105% of P. This is just P(1+0.05). But the formula is more complicated, for now we will just take n=1 because that implies that for each time step, we apply the interest once. We can apply the formula more than once but this is fine for now. What about t=2, after two time periods(year, month etc ). We want 105% of 105% of P. Or 105% times P is the value after one time step, after another one, we multiply by 105% again. So that looks like A=P(1+r)(1+r)=P(1+t)^2 As you can see, the formula just describes multiplying by 105% each time step. Things get a little more nuanced when we ask the question of, what if we charged the interest every day instead of every year, or even every second and so on. This is what n represented. Long ago people were curious about what happens when we charge this interest continuously or when n=∞. This gives us the formula A=Pe^rt Where e^r, is just a special number, equal to (1+n/r)^n when n goes to infinity for an infinite number of times we apply the interest, per time step, which is the same as applying the interest continuously.
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The formula for calculating compound interest is: A = P(1 + r/n)^(nt) Where: A = the future value of the investment/loan, including the interest P = the principal amount (the initial investment or loan amount) r = the annual interest rate (expressed as a decimal) n = the number of times that interest is compounded per year t = the number of years the money is invested or the loan duration To use the formula, follow these steps: 1. Determine the principal amount (P): This is the initial amount of money you are investing or the loan amount. 2. Determine the annual interest rate (r): This is the interest rate for one year, expressed as a decimal. For example, if the annual interest rate is 5%, you would use r = 0.05. 3. Determine the number of times interest is compounded per year (n): Compound interest can be compounded annually, semi-annually, quarterly, monthly, or even daily. The value of n represents the number of compounding periods per
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The compound interest formula is used to calculate the amount of money accumulated over time when interest is applied not only to the initial principal amount but also to the accumulated interest from previous periods. The formula for compound interest is: A=P(1+R/100)^nt Where: � A is the amount of money accumulated after � t years, including interest. � P is the principal amount (initial investment or loan amount). � r is the annual interest rate (decimal form). � n is the number of times that interest is compounded per year. � t is the number of years. Keep in mind that � r should be in decimal form, so if the annual interest rate is, for example, 5%, you would use � = 0.05 r=0.05. Also, make sure to use consistent units for time and frequency of compounding. If the interest rate is given as a percentage, divide it by 100 to convert it to decimal form. Here's an example: Suppose you invest $1000 at an annual interest rate of 5%, compounded quarterly (4 times a year), for 3 years. Using the formula: A=1000×(1+5/100*1/4)^3*4 After calculating, you would find that A \approx $1157.63. So, after 3 years of compounding quarterly at a 5% annual interest rate, your initial investment of $1000 would grow to approximately $1157.63.
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Tauqeer Shah
Verified Tutor
Banks and building societies pay compound interest on a sum of money invested. If we invest the amount in a bank, at the end of each year interest is paid on the total amount that was present in the account at the start of that year. To calculate the amount, the following formula is used: A = P [ 1± R/100 ]^n and the compound interest is CI = Amount - Principal ( '+' is used when the original amount increases over the period of time and '-' is used when the original amount is decreases with time) A= The total amount at the end of n year P= Principal (original) amount interested R= Rate of interest n= no of year e.g. Shah invests £5000 in the bank for 2 years at 5% per annum compound interest. What is the total amount present end of 2 years? P= £5000 , R= 5% , n= 2years A = 5000[ 1+ 5/100 ]^2 = 5000[ 1+ 0.05]^2 = 5000[1.05]^2 = £ 5512.50
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The formula for calculating compound interest is A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years. To use it, plug in the values and solve for A.
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Aqsa
P=C(1+r/n)^nt Where r is the interest rate n is how frequently interest is paid t is the time money is invested and P is the final value of your savings.
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Compound interest is amount -principal (A-P) Where amount is A = P(1 + r/n)^nt Where A = amount P= principal r = rate t= time
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A=P(1+r/n)^nt
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Pratima Singh
Compound interest is the earning on interest.CI=A-P(A=total amount,P=principal amount). there's a formula A=P(1+r/100)^t ,where r=per year interest rate,t=time in year.with the help of this formula we can easily find the compound interest of any principal amount.
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A = P(1+ r/100) ^ n A = new amount P = initial amount r = percentage of interest n = number of years
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A = P(1 + \frac{r}{n})^{nt} A = final amount P = initial principal balance r = interest rate n = number of times interest applied per time period t = number of time periods elapsed
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The formula to find compound interest is A = P(1 + r/n)^nt. In this formula, A stands for the total amount that accumulates. P is the original principal; that's the money we start with. The r is the interest rate. n is the number of times the interest is compounded annually. t is the overall tenure.
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Compound Interest=A-P where A= Amount and P = Principal. A(amount) is calculated as A = P(1 + r/n)^nt. In this formula, r= interest rate n = number of times the interest is compounded t= time(in years)
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The formula for compound interest is: A = P(1 + r/n)^(nt), where: A is the final amount P is the initial principal balance r is the annual interest rate (as a decimal) n is the number of times interest is compounded per year t is the number of years.
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CI = p x (1 + r/100) to the power n (Appreciation - Value going up) p = Principal Amount r = Interest Rate n = number of years CI = p x (1 - r/100) to the power n (Depreciation - Value going down) p = Principal Amount r = Interest Rate n = number of years
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Ryan
A = P(1+ (r/n))^nt, A = final amount P = initial principal balance r = interest rate n = number of times interest applied per time period t = number of time periods elapsed Example: I invest money in a savings account. My initial investment is P, compounding at interest rate r. The interest is applied monthly, so n = 12 (12 times per year, 12 months in a year) for t number of years. So let's say I invest P = £1000, at r = 5% = 5/100 = 0.05, n = 12 (Interest applied monthly) and t = 10 (years). Calculating.... After 10 years there is A = £1,647 in the account. The account started with £1000 and it has gained £647. That is a (1647-1000/1000) * 100 = 64.7% increase on our investment of £1000. This is not very good bearing in mind we invested the money for 10 years we would be expecting a much higher return on our investment. For a fixed t,n and r, A grows faster the larger P is. Therefore we will make more money in the same amount of time if we put down a larger inital investment.
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Hi Shannon, The formula for compound interest is: A = P* (1+r/n)^ (n*t) For more clarification, I would recommend viewing a website for it: https://www.thecalculatorsite.com/finance/calculators/compound-interest-formula Hope this helps further. Kind Regards Ayaz Sheikh
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Sabiha Sultana
P(1+r/100)^n
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Hi Shannon! As it is a question with variable amount, I will use the magic world of algebra (which, I know seems daunting for most, but is just a way to say 'I'm focussing on the relationship between number rather than the numbers themselves). So let's call: - 'm' the amount you want to invest (short for money!) - 'i' the interest rate (short for interest, obviously!) - do not forget to add it to 1 (1 represents 100%, which is the full amount of your initial input, then add the interest) - example below ;) - 't' the amount of time you want the compound interest to go on In the basic form, the calculation you would need to do is: m * i * i * i * i* i ..... and basically multiply each time you want another amount of time to your interest rate. What happes is that each time, you multiply that increase of the new value. Now, because you don't really want to do the boring *i*i*i*i..., you want to shorten that calculation and directly input the amount of time you want the compound interest to go on in your calculation. In maths, multiplying several times the same value by itself is shortened by powers (just like multiplying is a short cut to adding the same value by itself). So 5 * 5 * 5 * 5 means multiplying 5 by itself 4 times. In shorter mathematical terms, you'd say '5 to the power of 4', and write it mathematically like '5^4'. So, back to our formula of m * i * i * i * i * i If I want to mathematically shorten and this correct this to make it apply to any amount of time, I would need to use the following formula: m * i ^ t (the amount of money input times the increase in interest rate, and the latter, to the power of the amount of units of time I'd want it invested in) I will show you an example below. But first, let me explain what I said earlier about having to add 1 to the interest rate.... If you invest and you want to know what you final figure would be, you need to include your original figure in the calculation. That would be your 100%. 100% is the full amount of money you started with. If you have invested £5, then £5 is your 100% amount of money invested. Now, you might or might not know this but 100% is actually a fraction over 100 in the hiding! So 100% means 100/100... 20% means 20/100, and 5% = 5/100. And, as you might or might not recognise, but the fraction sign is actually a division sign! So 100/100 is also 100 divided by 100, 20/100 is also 20 divided by 100 etc... All this to explain that 100% is equivalent to 100 divided by 100, which in essence really means 1 whole. So if I want an increase of 20% on my original value, I would need to do the simple calculation: 100% + 20% = 120%. 120% being 120 divided by 100, I can therefore also write is as 1.2 instead (but don't worry, you can always leave it as 120% too!) My new value will be 120% more than my original value (or 1.2). As an example. I want to increase my £5 by 20%, I'd need to calculate: 5 * 120% (or 5 * 1.2). Equally, I can also do this for a decrease using substraction! If I want to decrease my £5 by 20% I'd calculate: 5 * (100% - 20%) = 5 * 80% (or 5 * 0.8). Now, back to our original question using examples. Remember the formula we used: m * i ^ t (the amount * the interest, to the power of the amount of time I want to invest) - I want to invest £1000 in a bank with 2% interest for 5 years: I increase 100% by 2%, which gives me 102% (which is the same as 1.02). And finally, this is my calculation: 1000 * 1.02 ^ 5 - I have a mortgage of £80,0000 and I am paying off 15% each year, how much will be left of my mortgage in 4 years. I start by DEcreasing my 100% by 15% (100% - 15% = 85%, which is the same as 0.85). My calculation would be 80000 * 0.85 ^ 4 - I am trying to sell my xbox for £200, and each month I don't sell, I agree to lower the asking price by 5% each week. And I want to know how much I'd sell it for if I had to wait 8 weeks. I start by DEcreasing my 100% by 5% (100% - 5% = 95%, which is the same as 0.95). My calculation would be 200 * 0.95 ^ 8 I hope this helps!
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A =P (1+ R/ 100)^n Where A stands for Amount P stands for principal R stands for Rate n stands for time
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NEW Amount = START AMOUNT x (1 + rate/100) ^num years £1000 in Savings account at 2% after 4 years 1000 x ( 1 + 2/100) ^ 4 after 4 years = £1082.43 Casio calculators recommended!
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A=P(1+r/n)^nt Where A= final amount P= principal amount or initial amount r=interest rate n=number of times interest applied per time period t=number of time period
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A = P(1 + r/n)^nt , where P is the principal balance, r is the interest rate (as a decimal), n represents the number of times interest is compounded per year and t is the number of years.
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Hi Shannon It is best to think of compound interest as INTEREST on INTEREST. For example, lets work out simple interest, what is this? The formula for simple interest is: The formula for SIMPLE INTEREST IS = P x I x N Where P – Principal amount (Total amount borrowed) I – Interest rate (% rate) N – Duration of the loan (number of years) EXAMPLE: So if you borrowed a sum of $5000 at an interest rate of 5% over a period of 3 years, to calculate simple interest use the formula: SIMPLE INTEREST = P x I x N P = £5000; I = 5%; N= 3 years Simple interest = (5000x0.05x3) = £750 So in effect to borrow £5000, the interest for borrowing over a period of 3 years it would be £750. However, COMPOUND INTEREST you can think of this as INTEREST ON INTEREST and it will make the sum grow faster over a period of time. Formula for COMPOUND INTEREST = Px[(1+I)^N – 1] Where P – Principal amount (Total sum borrowed) I – Interest rate (% rate) N – Duration of the loan period (number of years) EXAMPLE: So if you borrowed a sum of £5000 at an interest rate of 5% over a period of 3 years, to calculate compound interest use the formula: COMPOUND INTEREST = Px [(1+I)^N – 1] P = £5000; I = 5%; N= 3 years COMPOUND INTEREST = 5000x [(1+0.05)^3 – 1] = 5000x[(1.05)^3-1] = 5000x[1.158-1] = 5000x[0.158] =5788 Therefore the compound interest for the sum £5000 at 5% over a period of 3 years would accumulate to £5788. Hope this helps, please reach out if you need more support.
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The formula to calculate compound interest is: \[ A = P \times \left(1 + \frac{r}{n}\right)^{nt} \] Where: - \( A \) is the final amount (including principal and interest) - \( P \) is the initial principal (initial investment or loan amount) - \( r \) is the annual interest rate (expressed as a decimal) - \( n \) is the number of times that interest is compounded per year - \( t \) is the number of years Keep in mind that \( r \) should be divided by \( n \) to get the interest rate per compounding period, and \( nt \) gives you the total number of compounding periods over the years. The final amount \( A \) represents the total you'll have after the principal amount has accrued interest based on the given rate and compounding frequency.
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Amount =principal(1+r/n)^(nt), where r is the annual rate if interest, n is the number of compounding periods per year , and t is the number of years.
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P(1+R/100) ^n Where P is the Principle R is the rate of interest n is the number of years
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Reddy
Hi mate, A=(1+r/n)^nt where A = amount P = principal r = rate of interest n = number of times interest is compounded per year t = time (in years)
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A = P[ 1 + r/n]^nt
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Hello Shannon. Everyone on here seems to be giving the formula without properly explaining it. If you still need to learn I'd love to do a lesson and show you. Basically, the formula gives us a way to add on interest for every passing year, in one equation. Pretty cool right? (It saves a lot of maths)
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Rajoy Varghese
The formula to find the amount at the end of n years is A =P(1+r)^n where P is the principal, r is the rate of interest, n is number of years
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A= P(1+r/n)^nt where A is the total amount for the period r is the rate n is the number of times in year t is the duration
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Compound interest / Formula Main results A = P(1 + \frac{r}{n})^{nt} A = final amount P = initial principal balance r = interest rate n = number of times interest applied per time period t = number of time periods elapsed
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John Scott
Verified Tutor
Hi Shannon. Compound interest can be thought of as 'interest on interest' therefore each time interest is added and recalculated based on the new amount. The formula is: A=P(1+r/n)^nt A = Final Amount P = Initial balance r = interest rate n = number of times interest is applied in a given time t = number of given time periods that have passed. Hope this helps. John.
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Hi! The formula for calculating compound interest is P = C (1 + r/n)nt – where 'C' is the initial deposit, 'r' is the interest rate, 'n' is how frequently interest is paid, 't' is how many years the money is invested and 'P' is the final value of your savings. To make it more simple , let’s say to calculate a 3% increase (per year) on an amount P using compound interest over 4 years. If we were to calculate the amount after each year, we could just use the a multiplier of 1.03 1.03 1.03 1.03 to find each amount. This P×1.03 P × 1.03 P\times 1.03 P×1.03 gives the value after the first year.
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Vikas
The compound interest formula is ((P*(1+i)^n) - P), where P is the principal, i is the annual interest rate, and n is the number of periods.
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Vikas
The compound interest formula is ((P*(1+i)^n) - P), where P is the principal, i is the annual interest rate, and n is the number of periods.
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Ganesh Babu Manjunath
Compound Interest is defined as the difference between the Amount at the end of a given period and the Principal at the beginning of the same period. If P is the principal money which is deposited or lent as a loan at the beginning of a certain time , i is the rate of interest per annum, and n is the number of years after which the compound interest is calculated, the formula is Compound Interest = [P(1+i/100)^n]-P Let P = £1000, i=5% per year, n = 2 years. Then Compound interest at the end of two years is calculated as below: = 1000(1+(5/100))^2-1000 = £1,102.50
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The formular is A = P(1+r/n)^nt where A = The future value of the investment P = Principal Balance r = Annual Interest rate. This is normally expressed in percentage. n = number of times interest is compounded per year t = time. This is expressed in years. For instance, if the time is 6 months, to convert it to years, 6 months is divided by 12 to give 0.5 years. If the time is 4 months, the 4 months is divided by 12 to give 0.33 years
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Mohammad Anwar Hossain
The formula for calculating compound interest is P = C (1 + r/n)nt – where 'C' is the initial deposit, 'r' is the interest rate, 'n' is how frequently interest is paid, 't' is how many years the money is invested and 'P' is the final value of your savings.
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Madiha Irfan
Formula for Compound Interest: A = P * (1 + r/n)^(nt) Steps to Calculate Compound Interest: Gather Information: Principal amount (P): Initial investment or loan amount. Annual interest rate (r): Interest rate for one year (decimal). Compounding frequency (n): Number of times interest is compounded per year. Time in years (t): Duration of investment or loan. Convert Annual Rate to Decimal: Divide the annual interest rate by 100 (e.g., 5% becomes 0.05). Plug Values into Formula: Insert gathered values into the compound interest formula. Calculate Compound Interest Factor: Compute (1 + r/n)^(nt) to find the growth factor due to compounding. Multiply Factor by Principal (P): Multiply the result from step 4 by the initial principal amount to get the final amount (A) with compound interest.
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Compound interest within the year is interest that compounds more often than once a year. Financial institutions can calculate interest based on semi-annual ,monthly , weekly or even daily time. The general equation for calculating compound interest is as follows A =P(1+r/n)^nt where the following apply A=future worth P=principal r= annual interest paid n=number of timesper period(usually months) the interest is compound t=number of periods(usually years) or term of the loan For example an investment of 100 pounds pays 3 percent compounded monthly.If the money depreciates in the account for 4 years how much the 100 pounds be worth? Answear : A=P(1+r/n)^nt= 100(1+0.03/12)^12*4=100*1.0025^48=100*1.1273=112.73 pounds
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Jeet Basak
C.I= P(1+r/100)^n Where P is the principal. R is the rate of interest and n is the number of years or the time period.
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Moh Huda
The formula can be stated as Ci = P(1+r/n)^(nt), where P, r, n, and t are the initial principal balance, the interest rate (usually in the form of percentage, the number of times the interest applied (such as monthly, yearly etc), and the number of time period elapsed (such as one year, 2 years, etc), respectively.
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The formula for compound interest is given by: A = P * (1 + r/n)^(nt) Where: A is the final amount after interest P is the principal amount (initial investment) r is the annual interest rate (as a decimal) n is the number of times interest is compounded per year t is the number of years
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Sonu Sharma
Hi Shannon. The formula for compound interest is: A=P×(1+ n/r)^nt Where: A is the final amount including both the principal and the interest. P is the initial principal amount (the initial sum of money). r is the annual interest rate (in decimal form, so if the rate is 5%, r=0.05). n is the number of times that interest is compounded per unit t. t is the time the money is invested or borrowed for, in years. Compound interest is the interest calculated on both the initial principal and the accumulated interest from previous periods. The formula takes into account the compounding effect, where the interest is added to the principal, and then interest is calculated on the new total for each compounding period. In the formula, nt represents the total number of compounding periods over the investment's time frame.
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C. Sweetlin Asha
A=P(1+r/n)^nt
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So sorry for answering u question late: This is the formula for compound interest: A=P(1+r/n)nt. Uses: A=is the final amount P=initial principal balance r=interest rate n=number of times interest applied per time period. t=number of time periods elapsed. This is how u should do it.
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A = P(1 + r/n)^nt.
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A = P(1 + r/n)^nt.
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Hi Shannon, You can calculate compound interest through this formula: New amount = N, Old amount = A, no. year = y, annual interest rate (%) = i. N = A * ((1 + i/100 ) ^ y ). Essentially, for year 1, the interest rate (percent) is applied to the original amount to get a certain amount of money as interest. THis is added to the total amount stored. In year 2, you no longer have only the original amount in your account, you also have the interest added. Therefore, the same rate is applied to the total amount in your account. The total amount after 1 year is: (A + i/100 *A). THis becomes (A + i/100 * A) +( (A + i/100 * A) * i/100) or equivalently can be written as (A* (1 + i/100) ) *(1+ i/100) ) or A* ((1 +i/100 ) ^ y)
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The formula for compound interest is: A = P * (1 + r/n)^(nt) Where: A = the future value of the investment/loan, including interest P = the principal amount (initial investment/loan) r = the annual interest rate (decimal) n = the number of times that interest is compounded per year t = the number of years
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A = P × (1 + r/n)^(nt) A is the total amount you'll have at the end. P is the money you started with (the principal). r is the interest rate (how much extra money you get). n is how many times they give you interest in a year (like 1 if it's once a year). t is how many years you keep your money there.
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The compound interest is obtained by subtracting the principal amount from the compound amount. Hence, the formula to find just the compound interest is as follows: CI = P (1 + r/n)nt - P. In the above expression, P is the principal amount r is the rate of interest(decimal obtained by dividing rate by 100) n is the number of times the interest is compounded annually t is the overall tenure.
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1.Compound interest formula A = P { [ 1+r/n ] to the power of n*t } A = Final Amount P= Amount r = rate of interest n= period of compound interest t= number of time periods If n is in months , t = n/[12/x] x= number of months interest is chargeable per annum If n is in years , t = n/x x=1
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FV = P*(1+R/N)^(N*T). FV is future value of loan, P is the initial principal amount, R is the annual interest rate, N represents the number of times interest is compounded per year, and T represents time in years.
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A=P[1+(r/n)]nt Where A=Actual amount P=initial Principal amount r=interest rate n=number of times the interest is compounded t=Period of times in years
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Owen Giles
Hi Shannon, To work out the total value with a starting amount of “A” in an account after “n” years of interest is of a percentage interest of “p” Total = A*(p/100)^n. Where * means multiply and ^ means to the power of. For example if you have a starting amount of £10,000 with the percentage interest of 4% and for 3 years. Total = 10,000*(4/100)^3 Total = 10,000*1.04^3 = 11,248.64. I hope this makes sense to you. Kind regards Owen
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A=p(1+r/n)nt
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A=P(1+r/n)^nt A=final amount P=initial principal balance r= interest rate n=number of times interest applied per time period t=number of time periods elapsed the formula for calculating compound interest is P=c(1+r/n)^nt--where 'C' is the initial deposit, 'r' is the interest rate, 'n' is how frequently interest is paid, 't' is how many years the money is invested and 'p' is the final value of our savings For example: If an individual was to start saving 100 pound a month at the age of 30 and continued until they were 60, they would have saved, with 10% annual interest, a sum of pound 217,132.11. however, if they started saving pound 100 a month at the age of 20, stopped when they were 30 and left the money in the account until they turned 60, they would have accumulated pound 367,090.06 the magic of compound interest, in this example, means that saving for 10 years can be more profitable than 30 years, if it starts earlier.
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Norah Isaboke
(p×R/100×T)^n Where p is the principle R is the rate of interest T time n is the number of years
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Safiqul Islam
CI= = P [(1 + i)n – 1]
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Aya Al Sammak
Hi Shannon the formula for compound interest is A= P(1+ r/n)^nt A stands for the final amount after compound interest has been calculated. P stands for the initial price for the e.g. house. r stands for the interest rate e.g. 0.05 which is equivalent to 5% and n stands for number of times interest applied per time period while t represents the number of time periods elapsed e.g. t=5 if it wants compound I retest after 5 years
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A=P×(1+ r/n)^nt Where: A is the final amount after interest. P is the principal amount (initial investment or loan amount). r is the annual interest rate (expressed as a decimal). n is the number of times interest is compounded per year. t is the number of years. Is there anything else you'd like to know?
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A = p(1+R/100)^n CI = A+P If you have deposited money in a bank you can understand the concept clear. Always connect maths with real life so that you understand the concept and you will never forget it. Thanks
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Compound interest is a powerful concept in finance. The formula to calculate compound interest is: A = P(1 + r/n)^(nt) Where: A: The final amount (including both the principal and the interest) P: The initial principal amount r: The annual interest rate (decimal) n: The number of times that interest is compounded per year t: The number of years the money is invested or borrowed for I'd be happy to guide you through examples and practical applications of this formula in our lessons.
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The formula :  A = P(1+r/n)^nt A = final amount P = initial principal balance r = interest rate n = number of times interest applied per time period t = number of time periods elapsed
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Compound Interest =Amount - Principal A= P(1+r/n)^nt Where, A = amount P = principal r = rate of interest n = number of times interest is compounded per year t = time (in years) Alternatively, we can write the formula as given below: CI = A – P And This formula is also called periodic compounding formula. Here, A represents the new principal sum or the total amount of money after compounding period P represents the original amount or initial amount r is the annual interest rate n represents the compounding frequency or the number of times interest is compounded in a year t represents the number of years Thank you.
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Sadaqat Ullah
A= P(1+r/190)^n
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Hello Shannon ! The formula for calculating Compound Interest (C.I.) is : C.I.= A - P . Or C.I. = P(1 + r/100)^n - P Where A = Amount of initial loan or deposit plus accrued compound interest; P = Principal or the initial loan or deposit; r = rate of interest payable; and n = the number of times the interest is charged. Someone can explain how to use this formula with example as follows: Find the compound interest of £6,000 loan for one and half years at 10% interest per annum compounded semi annually. 10% interest per annum means 5% interest per half year , and one and half years is 3 times semi annually. The formula is C.I. = P(1 + r/100)^n - P Substituting with numbers, we have C.I. = £6,000(1 + 5/100)^3 - £6,000 = £6,000(1 + 1/20)^3 - £6,000 = £6,000( 21/20)^3 - £6,000 = £6,000( 21/20 x 21/20 x 21/20) - £6,000 = £6,000( 1•1576) - £6,000 = £6,000 × 1•1576 - £6,000 = £6,945•75 - £6,000 = £945•75 This shows that the compound interest of £6,000 loan for one and half years at 10% interest per annum compounded semi annually is £945•75 .
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The formula for compound interest is A = P(1+r/n)^nt. In this formula, A = Final amount P = Initial principal balance r = Interest rate n = number of times interest applied per time period. t = number of time periods elapsed. (Kenneth)
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the formula for calculating compound interest is p=C(1+r/n)nt — where “C” is the initial deposit, ‘r’ is the interest rate, ‘n’ is how frequently interest is paid, ‘t’ is how many years the money is invested and ‘P’ is the final value of your savings
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A= P(1+r)^n
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Md Shahedul Islam
The formula for calculating compound interest is P = C (1 + r/n)nt – where ‘C’ is the initial deposit, ‘r’ is the interest rate, ‘n’ is how frequently interest is paid, ‘t’ is how many years the money is invested and ‘P’ is the final value of your savings
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Nnanna Oyeh
Compound interest, or 'interest on interest', is calculated using the compound interest formula A = P*(1+r/n)^(nt), where P is the principal balance, r is the interest rate (as a decimal), n represents the number of times interest is compounded per year and t is the number of years.
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Jamiu mustapha wale
A =p(1+r/R)^t
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Munei Mukosi
A=P(1+¡)^
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