a) Lupe made a down payment of $2100 toward the purchase of a new car. To pay the balance of the purchase price, she has secured a loan from her bank at the rate of 12%/year compounded monthly. Under the terms of her finance agreement she is required to make payments of $230/month for 24 months. What is the cash price of the car? (Round your answer to the nearest cent.)

b) Find the periodic payment R required to amortize a loan of P dollars over t years with interest charged at the rate of r%/year compounded m times a year. (Round your answer to the nearest cent.)

P = 18,000, r = 10, t = 6, m = 6