[tex]\bf \qquad \textit{Continuously Compounding Interest Amount}\\\\
A=Pe^{rt}\qquad
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$12,000\\
r=rate\to 11\%\to \frac{11}{100}\to &0.11\\
t=years\to &13
\end{cases}
\\\\\\
A=12000e^{0.11\cdot 13}[/tex]
