You are considering purchasing a new car for $20,000. You are very fortunate and have a savings account that pays 10%APR interest compounding monthly. You have saved enough to pay 20% down, and you have let the dealer know that you would like to finance the balance of what is owed. One option is to finance the balance for 3 years at 9% APR, with monthly payments. The car dealer, being incredibly shady, tells you that he has a special financing option at a lower interest rate. The dealer offers to finance the balance at a flat interest rate of 6.5% (a)Based on the monthly payment, which of the two financing options is preferred?(b)Calculate the present worth cost for the two financing options and compare to the $20,000 cash purchase price.