1) A reasonable way to put a value on a share of stock is to discount the stream of expected future dividends (annual pa

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1 A Reasonable Way To Put A Value On A Share Of Stock Is To Discount The Stream Of Expected Future Dividends Annual Pa 1 (82.49 KiB) Viewed 32 times

1) A reasonable way to put a value on a share of stock is to discount the stream of expected future dividends (annual payments to the shareholder) by the so-called opportunity cost of money (the interest rate you could get from the bank if you didn't hold on to the stock). If a share of stock is anticipated to pay a $5 dividend annually for the next five years and then $8 every year after that in perpetuity, what would the share be worth according to this model if the cost of money is 4% ? Dividends are paid at the end of a year. 2) A cylindrical tank for fuel is mounted on its side. The tank is 6 feet in diameter and 15 feet long. There are 1586 gallons of diesel in the tank. How much work would be required to empty the tank by pumping the fuel out through a valve at the top of the tank? Diesel weighs about 7 lbs per gallon and a gallon is 231 cubic inches. 3) A model for the spread of a non-fatal disease among an isolated population results in the following equation:=kP(1)(M-P(1)), where k is a constant that depends on the transmissibility of the disease, M is the size of the population, and P(1) is the number of people who are sick at timer. Find an expression for P(1). 4) An Easter ham is put in the oven with a temperature probe embedded in the center. Assume the temperature of the ham is uniform throughout and the oven temperature is constant. If the ham was 40 degrees when it was put in and 120 degrees three hours later, what was the temperature of the oven? 5) A metal plate twelve inches square has constant mass density. Assuming the plate is placed on the x-y plane with its lower left corner at the origin, the thickness of the plate increases uniformly from 0.1 inch at x = 0 to 0.2 inches at x = 12. What are the coordinates of the center of gravity? 6) Evaluate (with supporting calculation) 12