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Allen Young has always been proud of his personal investment strategies and has done very well over the past several years. He invests primarily in the stock market. Over the past several months, however, Allen has become very concerned about the stock market as a good investment. In some cases it would have been better for Allen to have his money in a bank than in the market. During the next year, Allen must decide whether to invest $10,000 in the stock market or in a certificate of deposit (CD) at an interest rate of 9%. If the market is good, Allen believes that he could get a 14% return of his money. With a fair market, he expects to get an 8% return. If the market is bad, he will most likely get no return at all, in other words the return would be 0%. Allen estimates that the probability of a good market is 0.4, the probability of fair market is 0.4, and the probability of a bad market is 0.2, and he wishes to maximize his long-run average return.
a) Develop a decision table for this problem.
b) What is the best decision?
A ball thrown vertically upward at time t=0(s) with initial velocity 80 ft/s and initial height 96ft and height function of y(t) = -16t^2 + 80t + 96. What is the max height attained by the ball?
Is the following system consistent or inconsistent?
The radius of a circular disk is given as 26 cm with a maximum error in measurement of .2 cm. Use differentials to estimate the maximum possible error in the calculated area of the disk.
Two weather tracking stations are on the equator 146 miles apart. A weather balloon is located on a bearing of N 35°E from the western station and on a bearing of N 23°E from the eastern station. How far is the balloon from the western station?
When a rocket is 2 kilometers high, it is moving vertically upward at a speed of 300 kilometers per hour. At that instant, how fast is the angle of elevation of the rocket increasing, as seen by an observer on the ground 5 kilometers from the laun..
A ranger in tower A spots a fire at a direction of 354 degrees. A ranger in tower B located 60 miles aat a direction of 50 degrees from tower A spots fire at 317 degrees. How far is fire from tower A and B.
The scores on a psychological pro le test given to job applicants at a nuclear facility are known to be normally distributed with a mean of 65 and a standard deviation of 10.
Use the binomial approximation to calculate the probability of accepting the batch of tiles for various values of the proportion of cracked tiles p. Draw the operating characteristic curve.
The measure of five angles of a hexagon are 137, 147, 103, 90, 118. What is the measure of the sixth angle?
a rancher needs to enclose two adjacent corrals, one for cattle and one for sheep. If the river forms one side of the corrals and 420 yd of fencing is available, find the largest total area that can be enclosed.
Let P be the point (6,0), let Q be the point (0,4), and let R be the triangular region with with vertices at P, Q, and the origin. Determine the volume of the solid of revolution formed when R is revolved about the y-axis.
I need a response to this question: You are tutoring a friend who is just learning how to graph linear equations with two variables. How will you describe at least two methods of graphing lines?
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