Respuesta :
[tex]\bf ~~~~~~ \textit{Simple Interest Earned}\\\\
I = Prt\qquad
\begin{cases}
I=\textit{interest earned}\to &\$450\\
P=\textit{original amount deposited}\to& \$3000\\
r=rate\to r\%\to \frac{r}{100}\\
t=years\to &3
\end{cases}
\\\\\\
450=3000r3\implies \cfrac{450}{3000}=3r\implies \cfrac{3}{20}=3r\implies \cfrac{1}{20}=r
\\\\\\
r\%=\cfrac{1}{20}\cdot 100\implies r=\stackrel{\%}{5}[/tex]