Suppose that a company needs new equipment, and that the machinery in question earns the company revenue at a continuous rate of 58000t+39000 dollars per year during the first six months of operation, and at the continuous rate of $68000 per year after the first six months. The cost of the machine is $145000. The interest rate is 8% per year, compounded continuously. a) Find the present value of the revenue earned by the machine during the first year of operation. Round your answer to the nearest cent. Value: $ b) Determine how long it will take for the machine to pay for itself; that is, how long until the present value of the revenue is equal to the cost of the machine. Round your answer to the nearest hundredth. Years