A principal of $3300 is invested at 6.75% interest, compounded annually. How much will the investment be worth after 8 yea

rs? Use the calculator provided and round your answer to the nearest dollar.

Mathematics

1 answer:

Vitek1552 [10]3 years ago

7 0

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3300\\ r=rate\to 6.75\%\to \frac{6.75}{100}\dotfill &0.0675\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &8 \end{cases} \\\\\\ A=3300\left(1+\frac{0.0675}{1}\right)^{1\cdot 8}\implies A=3300(1.0675)^8\implies A\approx 5565$

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