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TEA [102]
3 years ago
7

How much would $400 invested at 9% interest compounded continuously be worth after 3 years? Rounded by the nearest cent

Mathematics
1 answer:
koban [17]3 years ago
4 0
\bf \qquad \textit{Continuously Compounding Earned Amount}
\\\\
A=Pe^{rt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$400\\
r=rate\to 9\%\to \frac{9}{100}\to &0.09\\
t=years\to &3
\end{cases}
\\\\\\
A=400e^{0.09\cdot 3}

notice, "e" is the Euler's constant, and yes, is on your calculator.
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