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Ksenya-84 [330]
2 years ago
15

Suppose that the last dollar that Victoria receives as income brings her a marginal utility of 10 utils while the last dollar th

at Fredrick receives as income brings him a marginal utility of 15 utils. If our goal is to maximize the combined total utility of Victoria and Fredrick, we should:
Mathematics
1 answer:
GaryK [48]2 years ago
6 0

Answer: A

Suppose that the last dollar that Victoria receives as income

brings her a marginal utility of 10 utils while the last dollar that

Fredrick receives as income brings him a marginal utility of

15 utils. If our goal is to maximize the combined total utility of

Victoria and Fredrick, we should

a. Redistribute income from Victoria to Frederick

b. Redistribute income from Fredrick to Victoria

c. Not engage in any redistribution because the current situation already maximizes total utility

d. None of the above

Step-by-step explanation:

Marginal utility is the added satisfaction derived from consuming an additional unit of a good or service. In the above question, Fredrick derives more satisfaction from his last dollar than Victoria, and will therefore achieve a higher marginal utility with additional income than Victoria does with her current income. If we want to maximize the combined utility, we should redistribute income from Victoria to Fredrick.

The logic behind this is the diminishing marginal utility. The first unit of a good consumed gives the highest level of satisfaction, marginal utility reduces with additional units consumed.  In the same way, when we spend our income, we purchase the things that give us the maximum satisfaction first.

.

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When 8 is subtracted from Ollie’s age, the result is the same as subtracting 16 from 3 times his age.
Scilla [17]
X - Ollie's age

8 is subtracted from Ollie's age = x-8
the result is the same as
subtracting 16 from 3 times his age = 3x-16

x-8=3x-16 \\
x-3x=-16+8 \\
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x=4

Ollie is 4 years old.
5 0
3 years ago
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State the gradient of the line perpendicular to the line y=3x-2
kherson [118]

Answer:

-1/3

Step-by-step explanation:

3 is the gradient of the other line

m1×m2=-1 (equation for perpendicular lines)

m1×3= -1

m1= -1/3

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7 0
3 years ago
ANSWER THIS AND ILL LOVE YOU <br><br> find angles FAB and BAC
jeyben [28]

Answer:

m<FAB = 75°

m<BAC = 105°

Step-by-step explanation:

First, find the value of x.

(13x - 3)° = (3x + 2)° + 55° (exterior angle theorem of a ∆)

Solve for x

13x - 3 = 3x + 2 + 55

13x - 3 = 3x + 57

Collect like terms

13x - 3x = 57 + 3

10x = 60

Divide both sides by 10

x = 6

✔️m<FAB = 13x - 3

Plug in the value of x

m<FAB = 13(6) - 3 = 78 - 3

m<FAB = 75°

✔️m<BAC = 180 - m<FAB (angles on a straight line/supplementary angles)

m<BAC = 180 - 75 (substitution)

m<BAC = 105°

4 0
2 years ago
Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two
maria [59]

Answer:

4xy and 12x

Step-by-step explanation:

In this question, we are to select which of the options to put into the blank space that will make the greatest common factor of the polynomial 2x. We are to select two options

Now, looking at the blank space, we should understand that , any answer we shall be choosing shall be an answer that contains x alongside the number.

This makes 24 and 44y out of the way.

Now let’s look at 4xy and 12x. Let’s insert them into the blank space;

36x^3-22x^2 - 4xy which gives : 2x(18x^2-11x-2y)

and 36x^3-22x^2-12x = 2x(18x^2-11x-6)

The reason why we will not use 44y and 24 is because 2x is not a factor of either.

3 0
3 years ago
Read 2 more answers
PLEASE HELP ME!!!!!!!! 
Delicious77 [7]
Angle θ between two vectors is given by, \theta =cos^{-1}( \frac{u&#10; \cdot v}{|u||v|} ); where u \cdot &#10;v=-5(-4)+(-4)(-3)=20+12=32; |u|= \sqrt{ (-5)^{2} + (-4)^{2} } = &#10;\sqrt{25+16} = \sqrt{41} and |v|=\sqrt{ (-4)^{2} + (-3)^{2} } = &#10;\sqrt{16+9} = \sqrt{25}=5.
Therefore, \theta =cos^{-1}( \frac{32}{ 5\sqrt{41}} )=cos^{-1}0.9995=1.8^o
3 0
3 years ago
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