well, on the child's 26th birthday that'll be 26 years later, so
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$25000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &26 \end{cases} \\\\\\ A=25000e^{0.03\cdot 26}\implies A=25000e^{0.78}\implies A\approx 54536.81[/tex]
