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Umnica [9.8K]
3 years ago
8

If the marginal propensity to consume is 0.9, what is the maximum amount that the equilibrium gross domestic product could chang

e if government expenditures increase by $1 billion?
Mathematics
1 answer:
Katen [24]3 years ago
7 0

Answer: There is change of $0.9 billion in government expenditures.

Step-by-step explanation:

Since we know that

Marginal propensity to consume tells that the rate at which there is change in consumption due to change in income.

According to our situation, MPC is the change in amount of gross domestic product due to change in government expenditure.

So, it becomes,

MPC=\dfrac{\text{Change in gross domestic product}}{\text{Change in government expenditure}}\\\\0.9=\dfrac{x}{1}\\\\x=0.9

Hence, there is change of $0.9 billion in government expenditures.

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Answer:

(x+3)^2+(y-2)^2=9

Step-by-step explanation:

<u>Equation of a circle</u>

(x-a)^2+(y-b)^2=r^2

where:

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From inspection of the diagram, the center of the circle <em>appears</em> to be at point (-3, 2), although this is not very clear.  Therefore, a = -3  and  b = 2.

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Again, from inspection of the diagram, the <u>maximum vertical point</u> of the circle appears to be at y = 5.  Therefore, to calculate the radius, subtract the y-value of the center point from the y-value of the maximum vertical point:

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Therefore, the final equation of the given circle is:

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1 year ago
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Answer:

Approximately 2.3127 radians, which is approximately 132.51^{\circ}.

Step-by-step explanation:

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\begin{aligned}& u\cdot v \\ =\; & 7 \times (-1) + (-2) \times 2 \\ =\; & (-11) \end{aligned}.

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Let \theta denote the angle between these two vectors. By the property of dot products:

\begin{aligned} \cos(\theta) &= \frac{u \cdot v}{\|u\| \, \| v \|} \\ &= \frac{(-11)}{(\sqrt{53})\, (\sqrt{5})} \\ &= \frac{(-11)}{\sqrt{265}}\end{aligned}.

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