5. (15 pts.) Find the uniform annual amount that is equivalent to a uniform gradient series in which the first year's payment is $500, the 2nd year's payment is $600, the 3rd year's payment is $700, and so on, and there are a total of 20 payments. The annual interest rate is 9%. 6. (10 pts.) A certain fluidized-bed combustion vessel has an investment cost of $100,000, a life of 10 years, and negligible salvage value. Annual cost of materials, maintenance, and electric power for the vessel are expected to total $10,000. A major relining of the combustion vessel will occur during the fifth year at a cost of $30,000. If the interest rate is 15% per year, what is the equivalent capitalized cost of this project? 7. (30 pts.) A machine requires a capital investment of $20,000 over a life of 12 years. Salvage value is estimated at $4,000. Determine the depreciation amount on the 6th year and book value at the end of the 6th year using a. straight line method b. sinking fund at 12% C. sum-of-the-years digits method