You are considering buying a car worth $30,000. The dealer, who is anxious to sell the car, offers you an attractive financing package. You have to make a down-payment of $3,500, and pay the rest over 3 years with monthly payments. The dealer will charge you interest at a constant APR of 2%, which is lower than the market interest rate. (1) What is the monthly payment to the dealer? (2) The dealer offers you a second option: you pay cash, but get a $2,500 discount. Should you go for the loan or should you pay cash? Assume that the market annual interest rate (APR) is at 5%