From the question, we can derive the following information
[tex]\begin{gathered} \text{Principal}=\text{ \$5000} \\ \text{Time =30 months =}2.5\text{ years} \\ \text{Rate =5.5\%} \end{gathered}[/tex]Explanation
To solve we will use the formula for simple interest.
[tex]I=\frac{\text{prt}}{100}[/tex]Therefore,
[tex]\begin{gathered} I=\frac{5000\times2.5\times5.5}{100} \\ =50\times2.5\times5.5=687.5 \end{gathered}[/tex]Answer 1: It earns an interest of $687.5
To get the balance at maturity, we will add the interest to the cost of the CD purchased
[tex]5000+687.5=5687.5[/tex]Answer 2: Balance at maturity= $5687.5