You have $$16,500$ you want to invest for the next $28$ years. You are offered an investment plan that will pay you $6$ percent per year for the next $14$ years and $10$ percent per year for the last $14$ years.

a$.$ How much will you have at the end of the $28$ 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 $10$ percent per year for the first $14$ years and $6$ percent per year for the next $14$ years, how much will you have at the end of the $28$ years?

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