Valerie is going to purchase a new car. The car she wants has a list price of $32,495. Valerie is planning to make a down payment of $1,877. Furthermore, she plans to trade in her current car, which is a 2006 Hyundai Sonata in good condition. She will finance the rest of the cost by making monthly payments over five years. She can finance the cost at a rate of 8.64%, compounded monthly. She will also have to pay 8.23% sales tax, a $2,243 vehicle registration fee, and a $314 documentation fee. If the dealer gives Valerie 87.5% of the trade-in price on her car, listed below, approximately how much will Valerie pay in total for her new car? (Round all dollar values to the nearest cent, and consider the trade-in to be a reduction in the amount paid.)Hyundai Cars in Good ConditionModel/Year2004200520062007Sonata$6,145$6,520$6,784$7,066Tiburon$6,880$7,144$7,382$7,785Elantra$4,211$4,425$4,598$4,880Accent$5,676$5,828$6,005$6,317a.$37,385b.$38,821c.$38,287d.$36,944