[tex] \bf ~~~~~~ \textit{Compound Interest Earned Amount}\\\\A=P\left(1+\frac{r}{n}\right)^{nt}\quad \begin{cases}A=\textit{accumulated amount}\\P=\textit{original amount deposited}\dotfill &\$4000\\r=rate\to 2.5\%\to \frac{2.5}{100}\dotfill &0.025\\n=\begin{array}{llll}\textit{times it compounds per year}\\\textit{monthly, thus twelve}\end{array}\dotfill &12\\t=years\dotfill &2\end{cases} [/tex]
[tex] \bf A=4000\left(1+\frac{0.025}{12}\right)^{12\cdot 2}\implies A\approx 4000(1.002083)^{24}\implies A\approx 4204.83\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\stackrel{\textit{amount of interest only}}{4204.83-4000}\implies 240.83 [/tex]
