SOLUTION: A person invests $100 in an account that pays interest monthly with an APR of 12%. How much is in the account after 20 years?

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Question 539721: A person invests $100 in an account that pays interest monthly with an APR of 12%. How much is in the account after 20 years?

Answer by jpg7n16(66) About Me  (Show Source):
You can put this solution on YOUR website!
To solve this question, you would use the following formula.
p%2A%28%281%2Bi%29%5En%29=+x
Your inputs would be as follows:
P = initial principal = $100 (per the question)
I = compounding rate; adjusting the given rate to a monthly figure, per the compounding frequency
i=12%2F12=1; 1% or .01
N = number of compounding periods
Since the account compounds monthly, this is straightfoward. How many months are there in 20 years?
n=12%2A20=240
And finally, we can solve for X = future value = amount there will be in the account after 20 years. And the calculator says...
x=100%2A%28%281%2B.01%29%5E240%29=1089.26
X = $1,089.26