Suppose that a company needs new equipment, and that the machinery in question earns the company revenue at a continuous rate of 54000t 38000 dollars per year during the first six months of operation, and at the continuous rate of $65000 per year after the first six months. The cost of the machine is $140000. The interest rate is 5.75% per year, compounded continuously. a) Find the present value of the revenue earned by the machine during the first year of operation.
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.

In return for their with optimizing his painting project, the castle servant informed poly and digit that he saw someone dressed as the king leaving behind a trail of crumbs as he walked into the jester's room late last night. poly and digit have finally found the crisp-collecting culprit — it turns out the jester's shoe size and hair color match the clues that were found! in gratitude, poly and digit agree to the servant with his current task of replacing all of the tables and chairs in the castle. his goal is to determine which furniture company should produce the new furniture. he receives information from a company that customizes elegant furniture, and he wants to analyze the company's production process in order to calculate some problems about cost and availability. read the following scenario, and assist poly and digit as they the servant with his calculations. the fit for a king furniture company requires 2020 hours of labor to produce a standard table, and a chair requires 1212 hours of labor. the labor available is 565565 hours per week. the company can produce at most 3535 chairs per week.

Abank provides its customers mobile applications that significantly simplify traditional banking activities. for example, a customer can use a smartphone to take a picture of a check and electronically deposit into an account. this unique service demonstrates the bank’s desire to practice which one of porter’s strategies?

The green fiddle has declared a $5 per share dividend. suppose capital gains are not taxed, but dividends are taxed at 15 percent. new irs regulations require that taxes be withheld at the time the dividend is paid. green fiddle stock sells for $71.50 per share, and the stock is about to go ex-dividend. what will the ex-dividend price be?