a$.$ What will be the maturity value of $$15,000$ placed in a $120-$day term deposit paying an interest rate of $2\mathrm{.}25\%?($Do not round intermediate calculations and round your final answer to $2$ decimal places.$)$

Maturity value

b$.$ If$,$ on the maturity date, the combined principal and interest are "rolled over" into a $90-$day term deposit paying $2\mathrm{.}15\%,$ what amount will the depositor receive when the second term deposit matures? $($Do not round intermediate calculations and round your final answer to $2$ decimal places.$)$

Maturity value