Investment X offers to pay you $$5,700$ per year for nine years, whereas Investment Y offers to pay you $$8,200$ per year for five years.

a$.$ Calculate the present value for Investments X and Y if the discount rate is $6$ percent. $($Do not round intermediate calculations and round your answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ Calculate the present value for Investments X and Y if the discount rate is $16$ percent. $($Do not round intermediate calculations and round your answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$