You have $$15,250$ you want to invest for the next $38$ years. You are offered an investment plan that will pay you $7$ percent per year for the next $19$ years and $11$ percent per year for the last $19$ years.

a$.$ How much will you haye at the end of the $38$ years? $($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 $11$ percent per year for the first $19$ years and $7$ percent per year for the next $19$ years, how much will you have at the end of the $38$ years? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$