You want to purchase a new car in $3$ years and expect the car to cost $$29,000.$ Your bank offers a plan with a guaranteed APR of $4\mathrm{.}5\%$ if you make regular monthly deposits. How much should you deposit each month to end up with $$29,000$ in $3$ years?

You should invest $ $$ each month.

$($Do not round until the final answer. Then round to two decimal places as needed.$)$