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Find the future value of an annuity if you invest $3,200 annually for 8 years at 13% compounded annually.
 Jul 21, 2013
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The compound interest formula is  \(P=C(1+r/n)\)^\(nt\), where P is the final value, C is the initial deposit, r is the interest rate, n is how frequently interest is paid, and t is how many years the money is invested.

 

We know that \(C=3200, r=0.13, t=8, \) and \(n=1\), so we can now solve for P, the final value.

 

Plugging in the values, we get:

 

\(P=3200(1+0.13)^8\)

\(P=3200(1.13)^8\)

\(P=3200\cdot2.6584441929064321\)

\(P=7975.3325787192963\)

\(P=$7975.33\)

 

The final value is \($7975.33\)

 

Answer: $7975.33

 Jan 10, 2024

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