[tex]\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount}\\\\
A=Pe^{rt}\qquad
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$500\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
t=years\to &7
\end{cases}
\\\\\\
A=500e^{0.04\cdot 7}\implies A=500e^{0.28}[/tex]
