Physics. The distance d between a fixed spring and the floor is a linear function of the weight w attached to the bottom of the spring. The bottom of the spring is 18 inches from the floor when the weight is 3 pounds, and 10 inches from the floor when the weight is 5 pounds. (A) Find a linear equation that expresses d in terms of w . (B) Find the distance from the bottom of the spring to the floor if no weight is attached. (C) Find the smallest weight that will make the bottom of the spring touch the floor. (Ignore the height of the weight.)
Physics. The distance d between a fixed spring and the floor is a linear function of the weight w attached to the bottom of the spring. The bottom of the spring is 18 inches from the floor when the weight is 3 pounds, and 10 inches from the floor when the weight is 5 pounds. (A) Find a linear equation that expresses d in terms of w . (B) Find the distance from the bottom of the spring to the floor if no weight is attached. (C) Find the smallest weight that will make the bottom of the spring touch the floor. (Ignore the height of the weight.)
Solution Summary: The author explains the linear equation that expresses the distance of string d from floor in terms of weight.
Physics. The distance
d
between a fixed spring and the floor is a linear function of the weight w attached to the bottom of the spring. The bottom of the spring is 18 inches from the floor when the weight is 3 pounds, and 10 inches from the floor when the weight is 5 pounds.
(A) Find a linear equation that expresses
d
in terms of
w
.
(B) Find the distance from the bottom of the spring to the floor if no weight is attached.
(C) Find the smallest weight that will make the bottom of the spring touch the floor. (Ignore
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The graph below shows the U.S. federal expenses for 2012.
A) estimate the fraction of the total expenses that were spent on Medicare. Write your answer as the
closest fraction whose denominator is 100.
B) estimate the fraction of the total expenses that were spent on Medicare and Medicaid. Write your
answer as the closest fraction, whose denominator is 100.
Starting with the finished version of Example 6.2, attached, change the decision criterion to "maximize expected utility," using an exponential utility function with risk tolerance $5,000,000. Display certainty equivalents on the tree.
a. Keep doubling the risk tolerance until the company's best strategy is the same as with the EMV criterion—continue with development and then market if successful.
The risk tolerance must reach $ ____________ before the risk averse company acts the same as the EMV-maximizing company.
b. With a risk tolerance of $320,000,000, the company views the optimal strategy as equivalent to receiving a sure $____________ , even though the EMV from the original strategy (with no risk tolerance) is $ ___________ .
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