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9) A company is considering expanding their production capabilities with a new machine that costs $37,000...

9) A company is considering expanding their production capabilities with a new machine that costs $37,000 and has a projected lifespan of 6 years. They estimate the increased production will provide a constant $6,000 per year of additional income. Money can earn 0.9% per year, compounded continuously. Should the company buy the machine?

(a) Yes, the present value of the machine is greater than the cost by

(b) No, the present value of the machine is less than the cost by  

$ _____ over the life of the machine

11) The traffic flow rate (cars per hour) across an intersection is r(t)=500+800t−270t2, where tt is in hours, and t=0 is 6am. How many cars pass through the intersection between 6 am and 8 am?

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