At the age of $29,$ to save for retirement, you decide to deposit $$30$ at the end of each month in an IRA that pays $3\mathrm{.}5\%$ compounded monthly.

a$.$ Use the following formula to determine how much you will have in the IRA when you retire at age $65.$

$A=\frac{P[(1+r{)}^t-1]}{r}or$

$A=\frac{P[(1+\frac{r}{n}{)}^{nt}-1]}{(\frac{r}{n})}$

b$.$ Find the interest.

a$.$ You will have approximately $ in the IRA when you retire.

$($Do not round until the final answer. Then round to the nearest dollar as needed.$)$