You are saving for the college education of your two children. They are two years apart

in age; one will begin college $14$ years from today and the other will begin $16$ years from

today. You estimate your children's college expenses to be $$44,000$ per year per child,

payable at the beginning of each school year. The appropriate interest rate is $7\mathrm{.}4$

percent. Your deposits begin one year from today. You will make your last deposit when

your oldest child enters college. Assume four years of college for each child.

How much money must you deposit in an account each year to fund your children's

education? $($Do not round intermediate calculations and round your answer to $2$

decimal places, e$.$g$.,32\mathrm{.}16.)$