[tex]\bf \qquad \textit{Simple Interest Earned}\\\\
I = Prt\qquad
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$6000\\
r=rate\to 4.25\%\to \frac{4.25}{100}\to &0.0425\\
t=years\to 4\frac{1}{2}\to &\frac{9}{2}
\end{cases}
\\\\\\
I=6000\cdot 0.0425\cdot \frac{9}{2}[/tex]