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RideAnS [48]
3 years ago
10

In a return-standard deviation space, which of the following statements is(are) true for risk-averse investors? (The vertical an

d horizontal lines are referred to as the expected return-axis and the standard deviation-axis, respectively.) I) An investor's own indifference curves might intersect. II) Indifference curves have negative slopes. III) In a set of indifference curves, the highest offers the greatest utility. IV) Indifference curves of two investors might intersect.
Mathematics
1 answer:
Wewaii [24]3 years ago
5 0

Answer:

Option iii) and iv) are the correct option

Step-by-step explanation:

Correct option is  - III and IV only

I) investors indifference curves are parallel they canno be intersect (False)

II) Indifference curve always be in a positive slope hence the statement is (False)

III) In a set of indifference curves, the higher the risk , the higher the return and as such the highest offers the greatest utility. (True)

IV) Indifference curve of investors with a same risk return trade off might intersect . (True)

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Answer:

x = 7 , -1

Step-by-step explanation:

<u>SOLUTION :-</u>

4(x-3)^2-11 = 53

  • Add 11 to both the sides.

=> 4(x-3)^2-11+11=53+11

=> 4(x-3)^2 = 64

  • Divide both the sides by 4.

=> \frac{4(x-3)^2}{4} = \frac{64}{4}

=> (x-3)^2 = 16

  • Root square both the sides.

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Here , x will have two values -

1) x-3 = 4

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2) x - 3 = -4

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<u>VERIFICATION :-</u>

When x = 7 ,

4(x-3)^2 - 11 = 4(7 - 3)^2 - 11

                       = 4 \times 4^2 - 11

                       = 4 \times 16 - 11

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                       = 53

When x = -1 ,

4(x-3)^2 - 11 = 4(-1 - 3)^2 - 11

                       = 4 \times (-4)^2 - 11

                       = 4 \times 16 - 11

                       = 64 - 11

                       = 53

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