[tex]\bf \qquad \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 &\$22000\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus }
\end{array}\to &4\\
t=
\begin{array}{llll}
\textit{how many years}\\
\textit{14 quarters is 3years and}\\
\textit{6 months}
\end{array}\to &\frac{7}{2}
\end{cases}[/tex]
[tex]\bf A=22000\left(1+\frac{0.06}{4}\right)^{4\cdot \frac{7}{2}}[/tex]
