bearing in mind that, "t" is in years, thus, since there are 12 months in a year, then 9 months is 9/12 of a year.
[tex]\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$1567.12\\
r=rate\to 1.9\%\to \frac{1.9}{100}\to &0.019\\
t=years\to \frac{9}{12}\to &\frac{3}{4}
\end{cases}
\\\\\\
A=1567.12\left( 1+0.019\cdot \frac{3}{4} \right)[/tex]
