Suppose that you decide to buy a car for $$59,000,$ including taxes and license fees. You saved $$10,000$ for a down payment. The dealer is offering you a choice between two

incentives.

Incentive A is $$6000$ off the price of the car, followed by a four$-$year loan at $5\mathrm{.}18\%.$

Incentive B does not have a cash rebate, but provides free financing $($no interest$)$ over four years.

What is the difference in monthly payments between the two offers? Which incentive is the better deal? Use $PMT=\frac{P(\frac{r}{n})}{[1-(1+\frac{r}{n}{)}^{-nt}]}.$

The difference in monthly payments between the two offers is $9$

$($Round to the nearest cent as needed.$)$