You have $$16,750$ you want to invest for the next $26$ years. You are offered an investment plan that will pay you $9$ percent per year for the next $13$ years and $13$ percent per year for the last $13$ years.

a$.$ How much will you have at the end of the $26$ years?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

b$.$ If the investment plan pays you $13$ percent per year for the first $13$ years and $9$ percent per year for the next $13$ years, how much will you have at the end of the $26$ years?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

Answer is complete but not entirely correct.

$\backslash$table$[[$a$.$ Account value,$$,251,523\mathrm{.}78$