[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}\to &\$5000\\
r=rate\to 3.8\%\to \frac{3.8}{100}\to &0.038\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &3
\end{cases}
\\\\\\
A=5000\left(1+\frac{0.038}{1}\right)^{1\cdot 3}\implies A=5000(1.038)^3[/tex]
