1. Lillian purchased a violin from Smash Music Stores. It regularly sold for $670, but was on sale at 10% off. She also had to pay 8% sales tax. She bought it on an installment plan and paid 15% of the total cost with tax as a down payment. Her monthly payments were $58 per month for 1 year.
   a. What is the discount?
   b. What is the sale price?
   c. What is the sales tax?
   d. What is the total cost of the violin?
   e. What is the down payment?
   f. What is the total of the monthly payments?
   g. What is the total she paid for the violin on the installment plan?
   h. What is the finance charge?
   i. If Lillian models her payment plan as an arithmetic sequence, give the first term a1 and the common ratio d.