assuming simple interest rate.
[tex]\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill&\$375\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years \end{cases} \\\\\\ 375=(5000)(0.04)t\implies \cfrac{375}{(5000)(0.04)}=t\implies \cfrac{375}{200}=t \\\\\\ \cfrac{15}{8}=t\implies 1\frac{7}{8}=t\impliedby 1~year~and~10\frac{1}{2}~months[/tex]
