[tex]\bf \qquad \textit{Continuous Interest Earned Amount}\\\\
A=Pe^{rt}\qquad
\begin{cases}
A=\textit{compounded amount}\\
P=\textit{original amount deposited}\to& \$500\\
r=rate\to 7.1\%\to \frac{7.1}{100}\to &0.071\\
t=years\to &10
\end{cases}
\\\\\\
A=500e^{0.071\cdot 10}[/tex]
