An investor considers investing $18,000 in the stock market. He believes that the probability is 0.20 that the economy will improve, 0.47 that it will stay the same, and 0.33 that it will deteriorate. Further, if the economy improves, he expects his investment to grow to $23,000, but it can also go down to $14,000 if the economy deteriorates. If the economy stays the same, his investment will stay at $18,000 a. What is the expected value of his investment? b. What should the investor do if he is risk neutral? invest the $18,000 c. Is the decision clear-cut if he is risk averse? No

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

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2

third, combine like terms:

(

3

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4

)

x

+

2

→

−

1

x

+

2

→

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x

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2

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

b

step-by-step explanation: