SOLUTION: How much money should be invested in an account that earns 9% interest, compounded monthly, in order to have $13,000 in 5 years? (Round your answer to two decimal places.) $

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Question 1202016: How much money should be invested in an account that earns 9% interest, compounded monthly, in order to have $13,000 in 5 years? (Round your answer to two decimal places.)
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Found 2 solutions by Theo, josgarithmetic:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
f = p * (1 + r) ^ n
at 9% compounded monthly and the money invested for 5 years, the formula becomes:
13,000 = p * (1 + .09/12) ^ (12 * 5)
solve for p to get:
p = 13,000 / ((1 + .09/12) ^ (12 * 5)) = 8,303.096082.

confirm by replacing p in the original equation with 8303.096082 and solving for f to get:
f = 8,303.096082 * (1 + .09/12) ^ (12 * 5) = 13,000.

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Monthly rate is 9%2F12=0.75 percent per monthly compounding period.
Five years holds 60 of these periods.

How much to be invested to reach 13000 in that time?
x%281.0075%29%5E60=13000
and you can solve for x.