$22.$ Jose has determined he needs to have $$800,000$ for retirement in $30$ years. His stock$-$based investment account earns $7\mathrm{.}2\%$ interest.

$($a$)$ How much would he need to deposit in the account each month?

$($b$)$ How much total money will he put into the account?

$($c$)$ How much total interest will he earn?