1. Payments of $500 are made at the beginning of each quarter of 7years in an account paying 8% interest, compounded quarterly. Find the future value of this annuity due. 2. To supplement his pension in the early years of this retirement, Rudolph plans to use $124,500 of his savings as an ordinary annuity that will make monthly payments to him for 20years. If the interest rate is 5.2%, how much will each payment be? 3. A car cost $22,000. After a down payment of $4000, the balance will be paid off in 48 monthly monthly payments, with interest of 7% per year on the unpaid balance. Find the amount of each payment. 4. Beth borrows $1000 for one year at 12% annual interest, compounded weekly. Find her monthly payment. 5. A bike requires 2 hours of assembly and a swing 3hours. A maximum of 250 hours of assembly time are available. The profit is $50 on a bike and $20 on a swing. If more than 100 items can be produced how many of each should assembled for maximum profit? 6. Given matrix A = {-1 0} {3 2} find A^-1