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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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If m< BCD = 54, find m< BAC
dmitriy555 [2]

m∠BAC = 27°

Solution:

ABCD is a quadrilateral.

AB and CD are parallel lines.

Given m∠BCD = 54°

AC bisect ∠BCD.

m∠DCA + m∠CAB = m∠BCD

m∠DCA + m∠DCA = 54°   (since ∠ACB = ∠DCA)

2 m∠DCA  = 54°

Divide by 2 on both sides, we get

m∠DCA  = 27°

AB and CD are parallel lines and AC is the transversal.

<em>If two parallel lines cut by a transversal, then the alternate interior angles are equal.</em>

m∠BAC = m∠DCA

m∠BAC = 27°

Hence m∠BAC = 27°.

7 0
3 years ago
Identify the phase shift of each function. Describe each phase shift ( use a phrase like 3 units to the left):
Temka [501]
ANSWER

Phase shift: 2 units right.

EXPLANATION

The given sine function is

y = - \sin(x - 2)

In mathematics, a horizontal shift may also be referred to as the phase shift.

This function is shifted to the right 2 units.
8 0
3 years ago
A scale drawing has a scale of 3in:1ft. What is the scale factor?​
Hitman42 [59]

Answer:

1 : 4

Step-by-step explanation:

Remember, your units have to match, so

3 in : 1 ft

doesn't look right, change 1 ft to 12 in.

3 in : 12 in

reduce by 3

1 : 4

8 0
4 years ago
Write the equation of the line with a slope of 3/2 that contains the point (-2,-4) .
VARVARA [1.3K]

Answer:

y= 3/2x- 4

Step-by-step explanation:

3/2 = mx

b= -4

y=mx+b

8 0
3 years ago
A can do a piece of work in 4 hours and B can do it in 6 hours. How much time would they take working together to finish the wor
Kipish [7]

Answer:

2.4 hours

Step-by-step explanation:

Let total work = X

Rate of work done = X ÷ time

Rate of A = X/4

Rate of B = X/6

If they work together, rate is the sum of their individual rates, i.e.

X/4 + X/6

= (3X + 2X)/12 (taking LCM)

=5X/12

Rate = X/time

5X/12 = X/time

time = X÷(5X/12)

time = X × 12/(5X)

time = 2.4 hours

Shortcut:

Product of individual times/sum of individual times

= (4×6)/(4+6)

=24/10

=2.4 hours

8 0
4 years ago
Read 2 more answers
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