The Campbell family has a disposable income of $60,000 annually. Assume that their marginal propensity to consume is 0.8 (the Campbell family spends 80% of new disposable income on consumption) and that their autonomous consumption spending is equal to $10,000. What is the amount of the Campbell family\'s annual consumer spending?,

Answers

Answer 1
Given the Keynesian equation C=A+MD, we find 10000 + (0.8 x 60000) = $58000. M is the Marginal propensity to consume, the A is the Autonomous consumption, and D is disposable income, giving Annual consumer spending as C.
Answer 2
Final answer:

The annual consumer spending of the Campbell family is $58,000.

Explanation:

To calculate the amount of the Campbell family's annual consumer spending, you need to consider their autonomous consumption spending and their marginal propensity to consume. The autonomous consumption spending is $10,000, which means that even if their disposable income is zero, they will still spend $10,000. The marginal propensity to consume is 0.8, so for every additional dollar of disposable income, they will spend 80 cents. To find the annual consumer spending, you can use the formula: Consumer Spending = Autonomous Consumption Spending + (Marginal Propensity to Consume * Disposable Income). In this case, the disposable income is $60,000, so the annual consumer spending would be $10,000 + (0.8 * $60,000) = $58,000.

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Related Questions

For a given right triangle side a =490 feet and side b = 960 feet

Answers

Given that the sides of a right triangle is a=490 ft and b=960 ft,  the value of c will be found using Pythagorean theorem
c²=a²+b²
c²=490²+960²
c²=1,161,700
c=1077.822
the value of the third side is c=1077.822 ft

A credit card advertises an annual interest rate of 23%.

What is the equivalent monthly interest rate?

i=__^_t

Answers

 the monthly rate is:

[1 + 23%]^(1/12) =1.23^(1/12) =1.0174 - 1 x 100 =1.74%

Which of the following rational numbers is equal to 3.4? (line above the four)

A: 31/9

B. 32/9

C. 33/9

D. 34/9

Answers

Hey there! :D

So, we can just divide all the numbers to figure it out. 

31/9= 3.44444444

32/9=3.5555556

33/9= 3.66666777

34/9= 3.777778

The closest number to 3.4 is 31/9. "A" is the correct answer. 

I hope this helps!
~kaikers

Answer:

I believe the answer is A, out of all numbers, it seems to be the closest to 3.4.

Step-by-step explanation:

how Many decameters are in 13 hectometers

Answers

3 that is super easy u should know this

1. _____is when an asset increases in value.
~depreciation
~appreciation
~inflation
~purchasing power

2. when money loses some of its value over time, it is caused by_____
-inflation
-FICA
-purchasing power
-recalculating worth
ive tried i need help @bibby @phi someone :( @SolomonZelman,

Answers

1) Appreciation is when an asset increases in value. The increase can happen for several reasons whether it is a decreased supply or an increased demand for example. 2) When money loses some of its value over time, it is caused by inflation

1) Appreciation is when an asset increases in value.

2) When money loses some of its value over time, it is caused by         inflation

The appreciating assets is any asset which value is increasing it is a an increased demand.

Therefore,

When value of assets increases in value?

Appreciation

1) Appreciation is when an asset increases in value.

Next,

The impact inflation has on the time value of money is that decrease the value of dollar over time.

Therefore,

2) When money loses some of its value over time, it is caused by inflation

Therefore,

1) Appreciation is when an asset increases in value.

2) When money loses some of its value over time, it is caused by         inflation

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A 3 lb bag of one brand of cat food costs $3.52. A 6 lb bag of another brand costs $6.80. Which brand is cheaper per pound?

Answers

A 6 lb bag of another brand 
For this case what we should do is find the price per pound of each of the brands of cat food.
 We have then:
 Mark 1: 
 3 lb costs $ 3.52
 P = (3.52) / (3) = 1.17 $ / lb
 Mark 2:
 
6 lb costs $ 6.80
 P = (6.80) / (6) = 1.13 $ / lb
 Answer: 
 Mark 2 is cheaper per pound: 
 1.13 $ / lb

A total of 100 students play on the Sports Academy’s soccer, track, or basketball teams. No student plays on more than one team. 61 of the students are boys. There are 36 students on soccer teams, 19 are on the girls’ soccer team. There are 35 students on basketball teams, 18 are on the boys’ basketball team. How many boys are on the track team?

Answers

61 students are boys. 17 of them are on the soccer team and 18 of them are on the basketball team.
18+17 =35
61-35= 26

26 boys are on the track team.

There are 17 boys on the soccer team, 18 on the basketball team, and by subtracting the 35 boys playing these sports from the total of 61 boys, we find that there are 26 boys on the track team.

To find out how many boys are on the track team, we can start with the total number of boys, which is 61, and subtract the number of boys in the other two teams. We know that there are 36 students on the soccer teams, and 19 of them are girls, which means that 36 - 19 = 17 boys are on the soccer team. Next, there are 35 students on the basketball teams, and 18 of them are boys; thus we have 35 - 18 = 17 girls on the basketball team.

Now, let's add up the number of boys on the soccer and basketball teams to find out how many boys are left for the track team. The equation is 17 (soccer) + 18 (basketball) = 35 boys who are playing sports other than track. Finally, to get the number of boys on the track team, we subtract this sum from the total number of boys: 61 (total boys) - 35 (boys in other sports) = 26. This means that there are 26 boys on the track team.

what is the sum or difference 10y^10-14y^10

Answers

The two monomial have the same variable to the same power so you just subtract the 14 from 10:

[tex]10y^{10}-14y^{10}\\\\(10-14)y^{10}\\\\-4y^{10}[/tex]

Answer:

The required solution is [tex]-4y^{10}[/tex].

Step-by-step explanation:

The given expression is

[tex]10y^{10}-14y^{10}[/tex]

Take out the common factor [tex]y^{10}[/tex] from both terms.

[tex]y^{10}(10-14)[/tex]

[tex]y^{10}(-4)[/tex]

[tex]-4y^{10}[/tex]

Therefore the required solution is [tex]-4y^{10}[/tex].

Solve for x.

2x = 15 + x

Answers

I did it and got x=15

The solution to the equation is x = 15.

We have,

To solve the equation 2x = 15 + x, we want to isolate the variable x on one side of the equation.

First, we can simplify the equation by subtracting x from both sides:

2x - x = 15 + x - x

This simplifies to:

x = 15

Thus,

The solution to the equation is x = 15.

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Michelle, Jennifer, and Betty volunteered to make cupcakes for a school fundraiser. They've been asked to make 100 cupcakes. Michelle can make 6 cupcakes in an hour. Jennifer can make 18 cupcakes in two hours. Betty can make 24 cupcakes in two hours. How long will it take to make 100 cupcakes if they work together?

A. 3 19/27 Houurs
B. 2 2/9 Hours
C. 4 1/6 Hours
D. 1 23/27 Hours

Answers

Final answer:

Michelle, Jennifer, and Betty have a combined rate of 27 cupcakes per hour. To make 100 cupcakes, it will take them 100 divided by 27, which equals 3 19/27 hours. The correct answer is A. 3 19/27 hours.

Explanation:

To determine how long it will take Michelle, Jennifer, and Betty to make 100 cupcakes together, we first need to find their individual rates of production.

Michelle makes 6 cupcakes per hour.

Jennifer makes 18 cupcakes in 2 hours, which is equivalent to 9 cupcakes per hour.

Betty makes 24 cupcakes in 2 hours, which is equivalent to 12 cupcakes per hour.

Adding these rates together gives us a combined rate of:

6 + 9 + 12 = 27 cupcakes per hour.

To find the time it takes to make 100 cupcakes, we divide the total number of cupcakes by the combined rate:

100 cupcakes ÷ 27 cupcakes/hour = 3 19/27 hours.

Therefore, the correct answer is A. 3 19/27 hours.

HELP WITH THESE SERIES OF QUESTIONS!!
1. Factor the polynomial. 3x^3 − 27x^2 + 19

2. Factor the polynomial. 15z^3 + 25z^2

3. Factor the polynomial. 9x^7 + 33x^3

Answers

1. Simplified already
2. 5x^2 x (3x+5)
3. 3x^3 x (3x^4 +11)

Darcy deposited $390 into a savings account. As long as the account balance remains at or above $150, she does not have to pay a service fee for the account. For how many months can she withdraw $40 a month without having to pay service fees?

Answers

6 months because 40*6=240 an 390-240=150 which is exactly the amount of money the bank account has to have to not pay service fee. 

The number of months that she can withdraw $40 is 6 months.

How many times can she withdraw $40?

The equation that can be used to determine the number of times she can withdraw $40 and still have at least $150 is:

$150 = $390 - $40x

Where: x is the number of withdrawals

In order to determine the value of x, take the following steps

Combine similar terms: $390 - $150 = $40x

Add similar terms: $240 = $40x

Divide both sides of the equation by $40

x = 6

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Stacy fails 1/2 cup measuring cup seven times to have enough flour for cake recipe how much flour does the cake recipe call for

Answers

7 times of 1/2 cup  = 7 x 1/2
7 times of 1/2 cup  = 7/2
7 times of 1/2 cup  = 3 1/2 cups.

--------------------------------------------------
The recipe called for 3 1/2 cups of flour
--------------------------------------------------

The cost of producing hard drives has three parts: cost of materials, cost of labor, and cost of equipment. To produce x hard drives, the cost of materials is 30x dollars and the cost of labor is 10x cents. The cost of equipment is a one-time, fixed amount of $10,000. Which equation could represent the cost function for making x hard drives? Answer Choices f(x)=10,030.1x f(x)=10,000x+40 f(x)=30.1x+10,000 f(x)=40x−10,000

Answers

Let [tex]x[/tex] represent the number of hard drives produced.
The first thing we need to do is convert 10 cents to dollars:
[tex]10cents( \frac{1dollar}{100cents} )=0.1dollar[/tex]. Now, we know that the the cost of materials is 30 dollars and the cost of labor is  0.1 dollars, so the total coast to produce [tex]x[/tex] hard drives will be: [tex]30+0.1=30.1x[/tex].
Now the only thing left is add the cost of equipment to complete our function:
[tex]f(x)=30.1x+10000[/tex]

We can conclude that the equation that could represent the cost function for making x hard drives is f(x)=30.1x+10,000

Is the number written in scientific notation? If not, explain.
a. 0.15 x 104
b. 7.06 x 10−8
c. 3.3 x 10012

Answers

Final answer:

The second example (7.06 x 10^-8) is correctly written in scientific notation, but the first (0.15 x 10^4) and third (3.3 x 100^12) examples are not. In scientific notation, the decimal part of the number should be between 1 and 10 and the exponent of 10 should be an integer.

Explanation:

The topic is scientific notation. The number is expressed in scientific notation if it has the form a × 10^n, where 1 ≤ |a| < 10 and n is an integer.

Let's see if the given numbers are in scientific notation:

0.15 x 10^4 - No, this is not in scientific notation. The decimal part of the number, 0.15, is not between 1 and 10.7.06 x 10^−8 - Yes, this is correctly written in scientific notation. The decimal part of the number, 7.06, is between 1 and 10 and the power of 10 is an integer.3.3 x 100^12 - No, this is not in scientific notation. The power of 10 is supposed to be a straight integer, not another exponential number.

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option b (  7.06 x 10⁻⁸)

a. 0.15 x 104

No, this number is not written in proper scientific notation.

In scientific notation, the coefficient must be a number between 1 and 10.

So, 0.15 can be expressed as 1.5 by moving the decimal point one place to the right.

Hence, it should be written as 1.5 x 103.

b. 7.06 x 10-8

Yes, this number is written in proper scientific notation.

The coefficient, 7.06, is correctly between 1 and 10.

c. 3.3 x 10012

No, this number is not written correctly due to the format of the exponent.

The correct form should be 3.3 x 1012.

So, the corrected scientific notation is 3.3 x 1012.

What is the ratio for the volumes of two similar cylinders, given that the ratio of their heights and radii is 3:7?

Answers

the answer is 27:343
Gooday

Answer:

The ratio is [tex]\frac{27}{343}[/tex] or 27:343

Step-by-step explanation:

The volume of cylinder is = [tex]V=\pi r^{2} h[/tex] ; where r is radius and h is height.

Given that the ratio of the heights and radii of two similar cylinders is 3 : 7.

Let r' be the radius and h' be the height of the other cylinder.

Its volume is [tex]V'=\pi r'^{2} h'[/tex]

According to the given information, we have

[tex]\frac{r}{r'}=\frac{h}{h'}=\frac{3}{7}[/tex]

Hence, we get

[tex]\frac{V}{V'}=\frac{\pi r^2h}{\pi r'^2h'}[/tex]

= [tex](\frac{3}{7})^{2} \times \frac{3}{7}[/tex]

= [tex]\frac{27}{343}[/tex]

Therefore, the ratio is 27:343

What is the distance between the points (5, 7) and (-3, 4) on the coordinate plane?

Answers

subtract 3-4 from zero to get it into a even number then once you have that answer you will subtract the answer that you got from 5,7 and then you will find you're answer

Answer:

Option B  [tex]8.54\ units[/tex]


Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to


[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]


Let

[tex]A(5,7)\\E(-3.4)[/tex]  

substitute the values


[tex]dAB=\sqrt{(4-7)^{2}+(-3-5)^{2}}[/tex]


[tex]dAB=\sqrt{(-3^{2}+(-8)^{2}}[/tex]


[tex]dAB=\sqrt{73}=8.54\ units[/tex]


A scientist has 350 mg of a radioactive material. The material will cut in half every month. After how many months will there be .68mg left?

Answers

The answer would be about 9 months.

Which solid has six faces, four lateral faces, two bases, eight vertices, and 12 edges? square pyramid triangular prism rectangular prism triangular pyramid

Answers

Rectangular Prism
*********************************************

Answer:

Rectangular Prism

Step-by-step explanation:

1000p for an answer please

Answers

The answer is C) 3 5/12 cups.
im pretty sure its 3 5/12 sry if im wrong

How do I solve these trigonometric equations!!?

Find all solutions in the interval [0, 2π).

(sin x)(cos x) = 0

Find all solutions in the interval [0, 2π).

cos2x + 2 cos x + 1 = 0

Find all solutions to the equation.

cos2x + 2 cos x + 1 = 0

(I am not looking for easy answers to cheat, I just need help on how to solve them...Im a bit confused and my teacher is not avail),

Answers

1) (sin x)(cos x) = 0 This means that either sin x = 0, or cos x = 0. Sin x = 0 when x = 0 or pi. cos x = 0 when x = pi/2 or 3pi/2. 2) cos2x + 2cosx + 1 = 0 First, expand cos2x. Simple trigonometric identity states that cos2x = (cos x)^2 - (sin x)^2.Now, substituting this equation, we get cos2x + 2cosx + 1 = (cos x)^2 - (sin x)^2 + 2cosx + 1. Note that we can now utilize the identity (cos x)^2 = 1 - (sin x)^2 to obtain (cos x)^2 + 2cosx + 1 - (sin x)^2 = 2(cos x)^2 + 2(cos x) = 0. Now, we can see that 2(cos x)^2 + 2(cos x) = 2(cos x)(cos x + 1) = 0. This is true when cos x = 0 or cos x + 1 = 0. Cos x = 0 when x = pi/2 or 3pi/2. cos x = -1 when x = pi. Therefore, x = pi/2, pi or 3pi/2.

what is the inverse and then graph the function and its inverse f(×)=-5n-14

Answers

You could write the original equation as y = - 5x - 14. That's what f(x) looks to mean. In inverse interchanges x and y

The inverse is x = -5y - 14 Now solve for y
x + 14 = - 5y
y = (x + 14)/-5 I have included a graph to show these two relationships.

Red Line: y = -5x - 14
Blue Line: y = (x + 14)/-5

the distance between between two distinct points on number line is always greater than zero?

true or flase,

Answers

The answer here is true. It is logically impossible to create a negative distance between two lines on a number line. Even using negative numbers, there would still be a distance between the two. This also applies to a microscopic difference. At the end of the day, there is still a difference.

what is 62% of 25 ?
im horrible at this plz help

Answers

To do this, multiply 62% by 25 !

Convert 62% into a decimal: 0.62. Then multiply them: 0.62 · 25, which equals 15.5 !
62% of 25

'of' means multiplication.

[tex]\sf 62\%\times 25[/tex]

Convert 62% to a decimal, divide it by 100(since percentages are parts of 100):

62/100 = 0.62

[tex]\sf 0.62\times 25[/tex]

Multiply:

[tex]\sf\boxed{\sf 15.5}[/tex]

need help !!!Divide 5a^2 + 6a - 9 into 25a^4 + 19a^2 - a - 78.

Answers

Hello,

Maybe i have not understood "into".

[tex] \dfrac{25a^4+19a^2-a-78}{5a^2+6a-9} =5a^2-6a+20+ \dfrac{-175a+102}{5a^2+6a-9} [/tex]

Which expression represents the total surface area, in square meters, of the rectangular pyramid below?

Answers

(2xhb)+(lb)

h= hight of triangle
b= base
l= lenght
b= breath

Answer:

B

Step-by-step explanation:

:)

A recipe cal for 2 1/2 cups of flour to make 2 dozen cookies.How many cups of flour would be required to bake 15 dozen cookies

Answers

15/2 = 7 1/2

2 1/2 * 7 1/2 = 18 3/4 cups of flour
Hello!

2 1/2 = 2.5 as a decimal

2.5 ÷ 2 = 1.25

So, it takes 1.25 (1 1/4) cups of flour for each dozen of cookies.

1.25 × 15 = 18.75

ANSWER:

18.75 (18 3/4) cups of flour would be required to bake 15 dozen cookies.

WRITE IN SIMPLEST FORM : COS INVERSE( 3/5 COS X + 4/5 SIN X ),

Answers

Let Cos Y = 3/5 sin Y = 4/5 We know. cosYcosX+sinXsinY = cos (X-Y) COS INVERSE( 3/5 COS X + 4/5 SIN X ) = COS INVERSE( cosYcosX+sinXsinY) = COS INVERSE(cos (X-Y) = X-Y = X- cos inverse 3/5 = X - 57degrees

I confused on how to solve these trigonometric ratios.

Answers

◆ Triangles ◆

Hey !!

8th question solved in the figure attached above ,

For 9th question's answer ,

cos 24° = 11/x = 0.913545

---> [ x=12.041 ] Ans.
.

In 10th question ,

sin 35° = x/4.1 = 0.573576

---> [x=2.352 m] Ans.

Hope it helps you :)

please help me

how many perpendicular bisectors can be constructed for a line segment?

a.) 0
b.) 1
c.) 2
d.)infinitely many,

Answers

Bisector means any line which divides the line segment is two equal parts. In this case the Perpendicular bisector will be straight in upward or downward direction from the middle of the line segment. Any line segment can have only one mid point. Hence any line segment can have only one Perpendicular bisector. Hence correct answer is B that is 1.
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