Answer :
The amount of interest she will earn in 9 months is $4,500
Here, we want to calculate the value of the interest that is not compounded in 9 months
If the interest is not compounded, then, it has to be simple
The forrmula for simple interest is given as follows;
[tex]I\text{ = }\frac{PRT}{100}[/tex]Here, P is the principal which is the amount in the savings account given as $40,000 in the question
R is the annual interest rate = 15%
T is 9 months; to use this, we convert to years and we have it as 9/12 = 3/4
We insert these values into the equation as follows;
[tex]\begin{gathered} I\text{ = }\frac{40,000\times15\times\frac{3}{4}}{100} \\ \\ I\text{ = \$4,500} \end{gathered}[/tex]