[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2829\\ r=rate\to 6.4\%\to \frac{6.4}{100}\dotfill &0.064\\ t=years\dotfill &5 \end{cases} \\\\\\ A=2829e^{0.064\cdot 5}\implies A=2829e^{0.32}\implies A \approx 3895.89[/tex]
