You graduate from Tufts and get a job working in Texas where you will need a car to commute to work. You have $$10,000$ of savings allocated to transportation that you can use to buy the car, but you do not believe you can get a reliable car for $$10,000.,$

Your budget permits you to spend $$350$ per month and the bank is offering five$-$year auto loans with a $5\mathrm{.}5\%$ annual rate. Assuming you take the maximum loan and are willing spend all of your $$10,000,$ what is the highest price you can pay for a car?