Name: Please solve the following 3 problems. Do not forget to write down the formula first and then substitute the numbers. 1. A small manufacturing company is considering purchasing a maintenance contract for its air conditioning systems. Since all of its systems are new, the company plans to begin the contract in year four and continue through year ten. The cost of the contract is $3,200 per year and the company's minimum attractive rate of return is 10% per year. What is the present worth of the contract? What is the equivalent uniform annual amount of the contract in years one through ten? If the company wishes to pre-pay the contract with uniform payments in years one, two and three only, the amount of each payment will be how much? 2. A company plans to start a sinking fund so that it will have money to purchase a new 18-wheeler ten years from now. The cost of the truck is expected to be $200,000 and the company uses an interest rate of 12% per year. a. If the company makes the first deposit three years from now, how much must each one be in order to have the money at the end of year ten