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Find the accumulated value of an investment of $7000 at 12% compounded semiannually for 12 years.

User Jtimberman
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1 Answer

7 votes

Answer:

$28,342.54

Explanation:

The value of an account earning compound interest is found using the formula ...

A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r compounded n times per year for t years.

__

You have P=7000, r=0.12, n=2, t=12.

Using these values in the formula, we find the accumulated value of the investment to be ...

A = 7000(1 +0.12/2)^(2·12) = 7000(1.06^24) ≈ 28,342.54

The value after 12 years is $28,342.54.

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Additional comment

The time-value-of-money functions of your calculator or spreadsheet can find this for you.

Find the accumulated value of an investment of $7000 at 12% compounded semiannually-example-1
User Agent Zebra
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