Seema is looking at an investment to upgrade an inspection line at her plant. The initial cost would be $120,000 with a salvage value of $39,000 after seven years. Use the capital recovery formula to determine how much money must be saved every year to justify the investment at an interest rate of 15 percent. Joseph and three other friends bought a $280,000 house close to the university at the end of August last year. At that time, they put down a deposit of $10,000 and took out a mortgage for the balance. Their mortgage payments are due at the end of each month (September 30, last year, was the date of the first payment) and are based on the assumption that Joseph and his friends will take 25 years to pay off the debt. Annual nominal interest is 12 percent, compounded monthly. It is now February. Joseph and his friends have made all their fall-term payments and have just made the January 31 payment for this year. How much do they still owe? Gail has won a lottery that pays her $100,000 at the end of this year and increases by 10 percent per year thereafter for 25 years. Leon has offered Gail $4,500,000 today in exchange for all the money she will receive. If Gail can get 6 percent interest on her savings, is this a good deal? Since the present value of the lottery winnings is $, the offer a good deal. (Round to the nearest dollar as needed.)