summerh36
summerh36 summerh36
  • 23-02-2022
  • Mathematics
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To the nearest cent, how much interest will he earn in 1 year?

To the nearest cent how much interest will he earn in 1 year class=

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jdoe0001 jdoe0001
  • 23-02-2022

[tex]~~~~~~ \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 &\$8815\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &1 \end{cases} \\\\\\ A=8815\left(1+\frac{0.10}{1}\right)^{1\cdot 1} \implies A=8815(1+0.10)^1\implies A=9696.5[/tex]

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