[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$74500\\ r=rate\to 13.3\%\to \frac{13.3}{100}\dotfill &0.133\\ t=years\dotfill &25 \end{cases} \\\\\\ A=74500e^{0.133\cdot 25}\implies A=74500e^{3.325}\implies A\approx 2071025.40[/tex]
