(6 points) A recently-installed machine earns the company revenue at a continuous rate of 59000t + 25000 dollars per yea

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6 Points A Recently Installed Machine Earns The Company Revenue At A Continuous Rate Of 59000t 25000 Dollars Per Yea 1 (40.67 KiB) Viewed 23 times

(6 points) A recently-installed machine earns the company revenue at a continuous rate of 59000t + 25000 dollars per year during the first six months of operation and at the continuous rate of $70000 per year after the first six months. The cost of the machine is $200000, the interest rate is 4% per year, compounded continuously, and t is time in years since the machine was installed. (a) Find the present value of the the revenue earned by the machine during the first year of operation. (Specify your answer to the nearest cent(.e., 0.01 dollar).) present value = $ (b) Find how many 6-month time intervals it will take for the machine to pay for itself; that is, how many 6- month time intervals will it take for the present value of the revenue to just exceed the cost of the machine? number of 6-month time intervals -