(a): Given:
There are given that the present value is $12000 and interest is 4.5% and 20 years.
Explanation;
To find future value, we need to use the future value formula;
Then,
From the formula of future value for annually:
[tex]FV=PV(1+r)^n[/tex]Where,
[tex]\begin{gathered} PV=12000 \\ r=0.045 \\ n=20 \end{gathered}[/tex]Then,
Put the values into the above formula:
So,
[tex]\begin{gathered} FV=PV(1+r)^{n} \\ FV=12000(1+0.045)^{20} \\ FV=12000(1.045)^{20} \end{gathered}[/tex]Then,
[tex]\begin{gathered} FV=12,000(1.045)^{20} \\ FV=28940.568 \end{gathered}[/tex]Final answer:
Hence, the future value is shown in below:;
[tex]FV=28,940.568[/tex]