[tex]\bf \qquad \textit{Compound Interest Earned Amount}\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\qquad
\begin{cases}
A=\textit{current amount}\\
P=\textit{original amount deposited}\to &\$4,000\\
r=rate\to 5.5\%\to \frac{5.5}{100}\to &0.055\\\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{compounds quarterly, every}\\
\textit{quarter, thus 4 times}
\end{array}\to &4\\\\
t=years\to &14
\end{cases}[/tex]
