[tex]\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount}
\\\\
A=Pe^{rt}\qquad
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$6000\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
t=years\to &8
\end{cases}
\\\\\\
A=6000e^{0.04\cdot 8}\implies A=6000e^{0.32}[/tex]
