You want to be a millionaire when you retire in $35$ years.

a$.$ How much do you have to save each month if you can earn an APR of $11\mathrm{.}2$ percent? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ How much do you have to save each month if you wait $10$ years before you begin your deposits? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

c$.$ How much do you have to save each month if you wait $20$ years before you begin your deposits? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$