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Question

Use the compound interest formula to compute the balance in the following accounts after the stated period of time, assuming interest is compounded annually.

$3000\$ 3000 is invested at an APR\mathrm{APR} of 1.8%1.8 \% for 1212 years.

Solution

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Answered 2 years ago
Answered 2 years ago
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To get the accumulated value of an investment of $3,000\textcolor{#c34632}{\$3,000} at an annual percentage rate of 1.8%\textcolor{#c34632}{1.8\%} for 12 years\textcolor{#c34632}{12 \ \text{years}}, we will use this formula:

A=P×(1+APR)Y\begin{aligned} A= P \times(1 + APR)^Y \end{aligned}

where AA is the accumulated balance after YY years, PP is the starting principal, APRAPR is the annual percentage rate in decimal form, and YY is the time in years.


Plugging in the known values, we have

A=$3,000×(1+0.018)12$3,716.16\begin{aligned} A &= \$3,000 \times (1 + 0.018)^{12} \\ &\approx \boxed{\$3,716.16} \end{aligned}

The accumulated value after 1010 years is approximately $3,716.16\textcolor{#4257b2}{\$3,716.16}.

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