[tex]\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad
\begin{cases}
A=\textit{compounded amount}\\
P=\textit{original amount deposited}\to &\$12000\\
r=rate\to6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, meaning}
\end{array}\to &4\\
t=years\to &9
\end{cases}
\\\\\\
A=12000\left(1+\frac{0.06}{4}\right)^{4\cdot 9}[/tex]
