a$.$ What will be the maturity value of $$31,000$ placed in a $130-$day term deposit paying an interest rate of $6\mathrm{.}00\%?($Do not round intermediate calculations and round your final answer to $2$ decimal places.$)$

Maturity value $ $31,662\mathrm{.}47$ Numeric ResponseEdit Unavailable. $31,662\mathrm{.}47$ correct.

b$.$ If$,$ on the maturity date, the combined principal and interest are $$rolled over$$ into a $100-$day term deposit paying $3\mathrm{.}90\%,$ 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 $ $32,000\mathrm{.}78$ Numeric ResponseEdit Unavailable. $32,000\mathrm{.}78$ correct.