Paula is considering the purchase of a new car. She has narrowed her search to two cars that are equally appealing to her.

Car A costs $$29,000,$ and Car $B$ costs $$29,500.$ The manufacturer of Car $A$ is offering $0\%$ financing for $48$ months with zero

down, while the manufacturer of Car $B$ is offering a rebate of $$2000$ at the time of purchase plus financing at the rate of

$3\%$ year compounded monthly over $48$ months with zero down. If Paula has decided to buy the car with the lower net cost

to her, which car should she purchase? $($Round numerical values to the nearest cent.$)$

net cost of Car $A$

net cost of Car $B$

car she should purchase