[tex]\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$545\\ P=\textit{original amount deposited}\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years\dotfill &1 \end{cases} \\\\\\ 545=P(0.09)(1)\implies \cfrac{545}{0.09}=P\implies 6055.\overline{5}[/tex]
