A firm expects to install smog control equipment the exhaust of a gasoline engine. The local smog con- trol district has agreed to pay to the firm a lump sum of money to provide for the first cost of the equip- ment and maintenance during its 10-year useful life At the end of 10 years the ecquipment, which initially cost $10,000, is valueless. The firm and the smog control district have agreed that the following are reasonable estimates of the end-of-year maintenance costs: Year 1$75 Year 6 $200 225 250 275 300 100 3 125 4 150 5 175 10 Assuming interest at 6% per year, how much should the smog control district pay to the firm now to provide for the first cost of the equipment and its maintenance for 10 years?