now.... "t" is in years, 3months off 12 months is 3/12 years
[tex]\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad
\begin{cases}
A=\textit{accumulated amount}\to &\$2525\\
P=\textit{original amount deposited}\to& \$2500\\
r=rate\to r\%\to \frac{r}{100}\\
t=years\to \frac{3}{12}\to &\frac{1}{4}
\end{cases}[/tex]
[tex]\bf 2525=2500\left(1+r\cdot \frac{1}{4} \right)\implies \cfrac{2525}{2500}=1+\cfrac{1}{4}r\implies \cfrac{101}{100}=1+\cfrac{r}{4}
\\\\\\
\cfrac{101}{100}-1=\cfrac{r}{4}\implies \cfrac{1}{100}=\cfrac{r}{4}\implies \cfrac{4}{100}=r\implies 0.04=r
\\\\\\
\textit{to convert to percentage format}\implies 0.04\cdot 100\implies 4\%[/tex]
