[tex]\bf \qquad \textit{Simple Interest Earned}\\\\
I = Prt\qquad
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$2300\\
r=rate\to 20\%\to \frac{20}{100}\to &0.20\\
t=years\to \frac{27}{12}\to &\frac{9}{4}
\end{cases}
\\\\\\
I=2300\cdot 0.2\cdot \cfrac{9}{4}[/tex]