If the interest rate is 10% and the time period is 3 years compounded annually, what is the total amount after compound interest on a principal amount of $1500?*$1650.05$2310.00$1996.50$1950.00
Question
If the interest rate is 10% and the time period is 3 years compounded annually, what is the total amount after compound interest on a principal amount of 1650.051996.50$1950.00
Solution
To calculate the total amount after compound interest, we use the formula:
A = P (1 + r/n) ^ nt
Where: A = the amount of money accumulated after n years, including interest. P = principal amount (the initial amount of money) r = annual interest rate (in decimal) n = number of times that interest is compounded per year t = time the money is invested for in years
Given in the problem: P = $1500 r = 10% or 0.10 n = 1 (since it's compounded annually) t = 3 years
Substitute these values into the formula:
A = 1500 (1 + 0.10/1) ^ (1*3) A = 1500 (1 + 0.10) ^ 3 A = 1500 (1.10) ^ 3 A = 1500 * 1.331 A = $1996.50
So, the total amount after 3 years will be $1996.50.
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