Retirement planning$$Personal Finance Problem$$Hal$$ Thomas, a $30-$year$-$old college$$ graduate, wishes to retire at age $65.$ To supplement other sources of retirement$$ income, he can deposit $$$$2$ comma $500$ each year into a$$ tax$-$deferred individual retirement arrangement$($IRA$).$ The IRA will earn a return of $13\%$ over the next $35$ years.

a$.$If Hal makes$$ end$-$of$-$year $$$$2$ comma $500$ deposits into the$$ IRA, how much will he have accumulated in $35$ years when he turns$65?$