Rich buys a car for $$34,000$ and has two options for financing. The dealership offers either financing of $0\%$ compounded monthly for $5-$years, or a $$5000$ cash rebate. If Rich takes the rebate, then he will apply the rebate to the cost of the car and finance the remaining balance with a loan for $5-$years at $5\mathrm{.}05\%$ compounded monthly through the Tiger Crediit Union.

$($b$)$ What would Rich's Monthly payment be if he takes the $$5000$ rebate?