Hal Thomas, a $25-$year$-$old college graduate, wished to retire at age $65.$ To supplement other sources of retirement income, he can deposit $$2000$ each year into a tax$-$deferred individual retirement arrangement $($IRA$).$ The IRA will earn a $10\%$ return over the next $40$ years.

If Hal makes annual end$-$of$-$year $$2000$ deposit into the IRA, how much will he have by the end of his ${65}^{th}$ year?

If Hal decide wait until age $35$ to start depositing $$2000$ yearly, how much will he have by the end of his ${65}^{th}$ year?

How much must the $35-$year old deposit annually to catch up with the $25-$year old?

$885185,328988,5381$

$885185,328988,5318$

$885185,328898,5381$

$885158,328898,5381$