The simple interest formula is given to be:
[tex]I=\frac{PRT}{100}[/tex]where P is the principal, R is the interest rate, and T is the time in years.
From the given question, the following parameters are provided:
[tex]\begin{gathered} P=900 \\ R=14 \\ T=9\text{ years and }3\text{ months}=9.25\text{ years} \end{gathered}[/tex]Therefore, the interest after 9 years and 3 months will be:
[tex]\begin{gathered} I=\frac{900\times14\times9.25}{100} \\ I=1165.50 \end{gathered}[/tex]Hence, the value of the investment will be:
[tex]\Rightarrow P+I=900+1165.50=2065.50[/tex]The value of the investment will be R2065.50.
