An Individual Retirement Account $($IRA$)$ is an annuity that is set up to save for retirement. IRAs differ from TDAs in that an IRA allows the participant to contribute money whenever he or she wants, whereas a TDA requires the participant to have a specific amount deducted from each of his or her paychecks.

When Bo McSwine was $16,$ he got an after$-$school job at his parents' barbecue restaurant. His parents told him that if he put some of his earnings into an IRA, they would contribute an equal amount to his IRA. That year and every year thereafter, he deposited $$600$ into his IRA. When he became $21$ years old, his parents stopped contributing, but Bo increased his annual deposit to $$1,200$ and continued depositing that amount annually until he retired at age $65.$ His IRA paid $8\mathrm{.}75\%$ interest. Find the following. $($Round your answers to the nearest cent.$)$

$($a$)$ The future value of the account

$

$($b$)$ Bo's and his parents' total contributions to the account

Bo $

Bo's parents $

$($c$)$ The total interest

$

$($d$)$ The future value of the account if Bo waited until he was $18$ before he started his IRA

$

$($e$)$ The future value of the account if Bo waited until he was $25$ before he started his IRA