Which graph does not represent a function?
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C = (1 - a)/(a + b) × y + (-a - b)/(a + b) × t*.

c = (1 - a) × (yd - t*) + b × yd

in the three-sector model, consumption (c) is given by the equation c = ayd + b(0)yd, where yd represents disposable income. yd is calculated by subtracting taxes (t*) from total income (y), so yd = y - t*.

to derive the equation c = (1 - a) × (yd - t*) + b × yd, we substitute yd = y - t* into the consumption equation:

c = a(y - t*) + b(0)(y - t*)

c = ay - at* + 0

c = ay - at*

since y = c + i + g, we can express y as y = c + i + g. rearranging this equation, we get c = y - i - g.

substituting y = c + i + g into the equation c = ay - at* gives:

c = a(c + i + g) - at*

c = ac + ai + ag - at*

further rearranging the equation, we get:

c - ac = ai + ag - at*

(1 - a)c = ai + ag - at*

c = (1 - a)(yd - t*) + byd

simplifying, we have:

c = (1 - a)yd - (1 - a)t* + byd

c = (1 - a)(yd - t*) + byd

c = (1 - a)(y - t*) + byd

c = (1 - a)y - (1 - a)t* + byd

c = (1 - a)y - at* + byd

c = (1 - a)y - at* + b(y - t*)

c = (1 - a)y - at* + by - bt*

c = (1 - a)y + by - at* - bt*

c = (1 - a + b)y - (a + b)t* (b) answer:

investment multiplier = 1 / (1 - (1 - b)(1 - a))

the investment multiplier represents the change in equilibrium consumption (c) due to a change in investment (i*). it is calculated using the formula 1 / (1 - (1 - b)(1 - a)).

the investment multiplier shows the relationship between changes in investment and the resulting changes in consumption. if the investment multiplier is greater than 1, an increase in investment will lead to a larger increase in consumption, indicating a positive relationship between investment and consumption.

equilibrium level of consumption (c) = (1 - a)/(a + b) × y + (-a - b)/(a + b) × t*

change in c due to a 2-unit change in investment = 2 × investment multiplier

given:

a = 0.9

b = 80

i* = 60

g* = 40

t* = 20

substituting these values into the equations:

equilibrium c = (1 - 0.9)/(0.9 + 80) × y + (-0.9 - 80)/(0.9 + 80) × 20

change in c

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Answer:

d

Step-by-step explanation:

Answer:

3x - 14

to simplify just take off the parathas

You can't simplify because there are no parenthesis or another X I think that's the rule.

Answer:

The answer is 139!

The 95% confidence interval for the proportion of the population who prefer brand named items is:

CI = (0.102, 0.232)

What is confidence interval?

A confidence interval is a statistical tool used to estimate the range of possible values in which a population parameter, such as the mean or proportion, is expected to lie with a certain level of confidence based on the observed sample data.

To find the 95% confidence interval for the population proportion, we use the formula:

CI = p′ ± z*\(\sqrt{(p'q'/n)\)

where:

CI: confidence interval

p′: sample proportion

q′: 1 - p′

z: z-score from the standard normal distribution for the desired confidence level (95% in this case)

n: sample size

Substituting the given values, we get:

CI = 0.167 ± 1.96\(\sqrt{((0.1670.833)/180)\)

Simplifying, we get:

CI = 0.167 ± 0.065

Therefore, the 95% confidence interval for the proportion of the population who prefer brand named items is:

CI = (0.102, 0.232)

This means that we can be 95% confident that the true population proportion of people who prefer brand named items falls within this range.

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The required product is given by, 9*7 = 63

We know that multiplication of m and n suggests either the sum of 'n' number of 'm' s or the sum of 'm' number of 'n' s.

Here given is the operation of multiplication on two integers.

9*7 = 63

We can describe this multiplication in another mathematical way,

9*7 = sum of seven 9 s = 9 + 9 + 9 + 9 + 9 + 9 + 9 = 63

Or, 9*7 = sum of nine 7 s = 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = 63

Hence the value of the product is 63.

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The question is in another language. The question is in English must be -

"First to answer this: 9 x 7 will win best answer!"

Answer:

its A

Step-by-step explanation:

-x²+x+(4x²-x-1)

-x²+x+4x²-x-1

-x²+4x²-1

3x²-1

Answer:

36- degree rotation m8

Step-by-step explanation:

mark me brainliest :)

Answer:

Hey buddy, here is your answer. Hope it helps you.

Step-by-step explanation:

Exponential form- 300+60+1/10+2/100+4/1000

Expanded form- 300+60+1/10+2/100+4/1000 or Three hundred sixty and one two four.

Answer:

1 Simplify 75\times 875×8 to 600600.

600\div 25

600÷25

2 Simplify 600\div 25600÷25 to 24

24

Step-by-step explanation:

The length of the cuboid is 16 mm

In this question, we have been given a  cuboid having height of 42 mm

and a width of 8 mm.

Also, the volume of the cuboid is 5376 mm³.

We know that, the volume of the cuboid is V = length × width × height

Here, width = 8 mm

height = 42 mm

V = 5376 mm³

We need to find the length of the cuboid.

V = length × width × height

5376 = length × 8 × 42

length = 5376 / 336

length = 16 mm

Therefore, the length of the cuboid is 16 mm

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The value of y when x=4 is 24. However, the given value of y is 22, so the answer is incorrect

The given equation is written in slope-intercept form as y=6x. This is a linear equation where 'y' is a function of 'x', and the slope is 6.

To calculate the value of y when x=4, first substitute the value of x in the given equation.

y = 6x

 = 6 x 4

 = 24

Therefore, the value of y when x=4 is 24. However, the given value of y is 22, so the answer is incorrect.

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Answer:

86 milkshakes and 63 ice cream were sold

Step-by-step explanation:

Let the amount of milkshake sold be x

Let the amount of ice cream sold be y

If  she sold 149 milkshakes and ice cream cones then;

x+y = 149 ... 1

If the milkshakes sold for $4 and the ice cream cones for $3, with total amount #533 collected then;

4x + 3y = 533 ....2

Solve both equations simultaneously

x+y = 149 ... 1  * 4

4x + 3y = 533 ....2 * 1

________________________

4x+4y = 596

4x+3y = 533

Subtract

4y-3y = 596-533

y = 63

since x +y = 149

x+63 = 149

x = 149 - 63

x = 86

Hence 86 milkshakes and 63 ice cream were sold

Any non-empty subset of Rⁿ, where any linear combination of vectors in S is again a vector in S, is a subspace of Rⁿ.

Given that S is a non-empty subset of Rⁿ such that any linear combination of vectors in S is again a vector in S. Therefore, to prove that S is a subspace of Rⁿ, we have to show that S satisfies three conditions. These conditions are as follows;

The condition for being a subspace of Rⁿ

Firstly, a subspace must be closed under addition. In other words, if x and y are any two vectors in S, then their sum x + y must be in S.

Secondly, a subspace must be closed under scalar multiplication. In other words, if x is any vector in S and c is any scalar, then cx must be in S.

Finally, a subspace must contain the zero vector, denoted by 0.S is a subspace of Rⁿ

From the conditions mentioned above, we can show that S is indeed a subspace of Rⁿ, since S satisfies all the required conditions.

Therefore, we can say that any non-empty subset of Rⁿ, where any linear combination of vectors in S is again a vector in S, is a subspace of Rⁿ.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.

First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17

Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40

Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65

Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92

Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.

The present value of the dividends can be calculated as follows:

PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)

where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:

PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)

PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5

PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59

PV ≈ $16.22

Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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Answer:

-7

Step by step explanation:

−30=5(x+1)

−30=(5)(x)+(5)(1)(Distribute)

−30=5x+5

Step 2: Flip the equation.

5x+5=−30

Step 3: Subtract 5 from both sides.

5x+5−5=−30−5

5x=−35

Step 4: Divide both sides by 5.

5x

5

=

−35

5

x=−7

Hope this Helps!

use 5 to multiply x and 1

-30=5x+1

-30=6x

which means u will use 6 to divide -30

to get -5

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Fixed costs= $7,900

Unitary cost per sandwich= $1.7

Selling price per unit= $7.75

To calculate the break-even point in units and dollars, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 7,900 / (7.75 - 1.7)

Break-even point in units= 1,306 sandwiches

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 7,900 / (6.05 / 7.75)

Break-even point (dollars)= $10,120

The percentage that each expense has out of the total budgeted amount of $45,000  have been computed, where insurance has 8.00%, Utilities 7.00% and so on.

What is a percentage?

In this case, percentage refers to proportion of each expense from the total budgeted expense of $45,000, which means that in order to total budgeted expense of $45,000, which means that in order to compute the percentage of total budgeted for each expense category, we divide the expense by the total budgeted expense

Insurance=$3600/$45,000=8.00%

Utilities=$3150/$45,000=7.00%

Clothing=$2700/$45000=6.00%

Transportation=$1350/$45000=3.00%

Entertainment=$5400/$45000=12.00%

Savings=$4050/$45000=9.00%

Taxes=$7200/$45000=16.00%

Food=$7650/$45000=17.00%

Housing=$9900/$45000=22.00%

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If rectangle has sides measuring (2x +7) units and (5x +9) units then expression that represents the area of the rectangle is \(10x^2+53x+63\) and degree of this expression is 2 and we proved that it satisfy closure property .

A quadrilateral with four right angles is called rectangle .

Given that sides are (2x+7) and (5x+9)

Hence area of rectangle can be calculated as

\((2x+7)(5x+9)\\\\2x(5x+9)+7(5x+9)\\\\10x^2+18x+35x+63\\\\10x^2+53x+63\\\)

Now we can see that this is a second degree polynomial

We got polynomial   \(10x^2+53x+63\) by multiplying two polynomial (2x+7) and (5x+9) hence it's closure property .

If rectangle has sides measuring (2x +7) units and (5x +9) units then expression that represents the area of the rectangle is \(10x^2+53x+63\) and degree of this expression is 2 and we proved that it satisfy closure property .

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The equation of line is  5x - y = 1.

What are the types of equation of a line?

Different forms of equations of a straight line

Equations of horizontal and vertical lines.

Point-slope form equation of a line.

Two-point form equation of line.

Slope-intercept form equation of line.

Intercept form.

Normal form.

Given that the slope of the line is 5.

The line pass through the point (2,9).

The equation of line passes through the point (x₁, y₁)  with slope m is

y - y₁ = m (x - x₁).

In the question m = 5, x₁ = 2, y₁ = 9

Putting m = 5, x₁ = 2, y₁ = 9 in y - y₁ = m (x - x₁)

y - 9 = 5 (x - 2)

Applying distributing property:

y - 9 = 5x- 10

5x - 10 - y +9 =0

5x - y -1 = 0

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Given function is, \(f(x) = \frac{x^3 - 27}{x^2 + 5}\) To find the horizontal asymptote, we will have to divide the numerator with the denominator to see the degree of the numerator and denominator.

Here, the degree of the numerator is 3 and the degree of the denominator is 2.Therefore, the horizontal asymptote can be found by dividing the coefficient of the highest degree term of the numerator by the coefficient of the highest degree term of the denominator, which is: y = x

The degree of the numerator is greater than the degree of the denominator by 1. Hence, the oblique asymptote exists, and it can be found using the division method by dividing x³ by x². We get x as the quotient. Now, we will write this in the form of a linear equation, which is: y = x.

Therefore, the horizontal or oblique asymptote of the given function is y = x. The equation for the horizontal asymptote for y = x + 5 is y = x. The equation for the horizontal asymptote for y = 2x - 4 is y = 2x.The equation for the horizontal asymptote for y = 2x + 3 is `y = 2x.

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Answer:

3 2 − 6 − 1

   2

− 3

Step-by-step explanation:

The probability that the first child of Clara and Charles will be a boy with both albinism and hemophilia is 0%, since neither Clara nor Charles have either of these recessive genetic conditions.

The probability that the first child of Clara and Charles will be a boy with both albinism and hemophilia is 0%. Albinism and hemophilia are both recessive genetic conditions, meaning that both parents must have the recessive gene in order for a child to be born with either condition. Since neither Clara nor Charles have either condition, the probability that their first child will be a boy with both albinism and hemophilia is 0%.

The probability that the first child of Clara and Charles will be a boy with both albinism and hemophilia is 0%, since neither Clara nor Charles have either of these recessive genetic conditions.

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Answer:

You accedently put Mathematics I think you meant Social Studies haha

Step-by-step explanation:

well, let's convert the mixed fraction to improper fraction firstly, then let's check their difference.

\(\stackrel{mixed}{15\frac{3}{5}}\implies \cfrac{15\cdot 5+3}{5}\implies \stackrel{improper}{\cfrac{78}{5}}\qquad \impliedby \textit{that's for just 1 day} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{\LARGE after 6 days}}{\cfrac{78}{5} +\cfrac{78}{5} +\cfrac{78}{5} +\cfrac{78}{5} +\cfrac{78}{5} +\cfrac{78}{5} }\implies \cfrac{468}{5} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{change in bushels}}{\cfrac{468}{5}~~ - ~~\cfrac{78}{5}}\implies 78\qquad \impliedby \textit{so 6 days later he's got 78 more bushels}\)

Option fourth "The functions are not inverses because, for each ordered pair (x, y) for one function, there is no corresponding ordered pair (y, x) for the other function." is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have two tables shown in the picture.

Table (A) have values of x and a(x)

Table (B) have values of d and r(d)

As we know if the function has an inverse of it and (x, y) satisfies the function then (y, x) must satisfy the inverse of a function.

Thus, the option fourth "The functions are not inverses because, for each ordered pair (x, y) for one function, there is no corresponding ordered pair (y, x) for the other function." is correct.

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