A.
Given:
The principal amount, P=$75,000
The interest rate, r=9%
The time, t=5 months
To find the interest amount:
Using the simple interest formula,
[tex]\begin{gathered} SI=\frac{P\times r\times t}{100} \\ =\frac{75000\times9\times5}{100\times12} \\ =\frac{750\times3\times5}{4} \\ =2812.5 \end{gathered}[/tex]Hence, the interest is $2813 (rounded to the nearest dollars).