Jeanne and Harold Kimura want to set up a TDA that will generate sufficient interest at maturity to meet their living expenses, which they project to be $$900$ per month. $($Round your answers to the nearest cent.$)$

$($a$)$ Find the amount needed at maturity to generate $$900$ per month interest if they can get

$61/2\%$

interest compounded monthly.

$

$($b$)$ Find the monthly payment that they would have to put into an ordinary annuity to obtain the future value found in part $($a$)$ if their money earns

$81/4\%$

and the term is thirty years.

$