As the assistant to the CFO of Johnstone Inc., you must estimate its cost of common equity. You have been provided with the following data: D0 = $0.85; P0 = $22.80; and g = 7.00% (constant). Based on the DCF approach, what is the cost of common equity?

The equivalent expression to the given expression [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex] is (81m²n⁵)/8.

The given expression is [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex]

Simplifying the given expression:

We have [tex](a^x)^y = a^{xy}[/tex], [tex]a^{-x} = \frac{1}{a^x}[/tex], and [tex]\frac{a^x}{a^y} = a^{x-y}[/tex]

Applying these exponential formulae in the above expression, we get

[tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3} = \frac{(3)^4(\frac{1}{m^4})(n^2)^4 }{(2)^3(\frac{1}{m^6})n^3 }[/tex]

⇒ 81/8 × (m⁶/m⁴) × (n⁸/n³)

⇒ 81/8 × m⁶⁻⁴ × n⁸⁻³

⇒ 81/8 × m² × n⁵

Therefore,  the equivalent expression for the given expression is (81m²n⁵)/8.

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The area of a trapezoid is 136[tex]cm^{2}[/tex].

we know that the area of a trapezoid is:

Area= 1/2 * (a+b) * h

where a and b are the lengths of the parallel sides of the trapezoid, and h is the height.

Now as per the question,

first parallel side, a = 12cm

second parallel side, b = 22cm

height, h =8cm

Area of a trapezoid = 1/2 * (12+22) *8 [tex]cm^{2}[/tex]

                                 = 136[tex]cm^{2}[/tex]

Therefore, the area of a trapezoid is 136[tex]cm^{2}[/tex].

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The 90 % confidence interval estimate for the population mean using the student's t-distribution is [ 87.137 , 92.863 ] .

Given :

Suppose that the times to complete an obstacle course are normally distributed with an unknown mean and standard deviation. A random sample of 33 course times is taken and gives a sample mean of 90 seconds and a sample standard deviation of 10 seconds.

a 90% confidence interval estimate for the population mean using the student's t-distribution.round the final answers to two decimal places.

Confidence interval :

CI = X ± Z * s / √n

= 90  ±  1.6449 * 10 / √33

= 90 ± 2.863

= [ 87.137 , 92.863 ]

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Full question:

is in the image uploaded.

The mathematical expression for the work performed by the spring and the cubic term is W=3.3488J C=%3.4

The spring's and the cubic term's labor Question Parameters:

How much effort is required to compress this spring 15 cm

Take into account a spring with k = 250 N/m and q = 900 N/m3.

In general, the mathematical formula for the force is given as

(FSp)s=−kΔs−q(Δs)^3

Location of Work done

W = int dxF.

Hence

W=3.3488J

b)Where a cubic term is mathematically given as

C={0.1139}/{3.3488}

C=%3.4

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The dimensions of the rectangle is 18 ft by 3.5 ft.

What is the dimension of a 2D objects?

Geometrically speaking, 2-dimensional shapes or objects are flat planar figures with two dimensions—length and width. Shapes that are two-dimensional, or 2-D, have only two faces and no thickness. Two-dimensional objects include a triangle, circle, rectangle, and square.

Assume that the width of the rectangle is w.

Given that, the length of a rectangle is 11 ft more than double the width.

The length of the rectangle is (2w + 11) ft.

The area of the rectangle is (2w + 11) w = 2w² + 11w.

Also given the area of the rectangle is 63 ft².

Therefore,

2w² + 11w = 63

2w² + 11w - 63 = 0

Now applying quadric formula:

w = (-11 ± √{(-11)² -(4 × 2 × (-63))})/(2 × 2)

w = -9, 3.5

Since the length of the rectangle can't be negative, thus w ≠ -9.

w = 3.5

The length of the rectangle is (2 × 3.5 + 11) = 18 ft.

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The amount of snowflakes that she can make for each time is given as follows:

A proportional relationship is a special case of a linear function, with an intercept of zero, and is defined as follows:

y = kx.

In which the variables are given as follows:

In the context of this problem, the input and the output variables are given as follows:

Kim was able to make 10 snowflakes in 2/5 of an hour, hence the constant is of:

k = 10/(2/5) = 10 x 5/2 = 25.

Thus the equation is of:

y = 25x.

Then the amounts are given as follows:

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Answer:

420 feet.

Step-by-step explanation:

We have to first multiply 25 times 12 (because 6 hours is 12 half hours) which is 300.
300 plus his starting point, 120 is 420.

Therefore, your answer is 420 feet.

Answer: 420 feet

Step-by-step explanation:

Because Daniel climbed 25 feet every half hour for 6 hours, 25 feet is added 12 times to the 120 feet he already climbed.

120 + (25 × 12)

25 × 12 = 300

120 + 150 = 420

Answer:

4, 6, 8, 10

Step-by-step explanation:

consecutive even integers have a difference of 2 between them.

let the 4 consecutive even integers be

n , n + 2 , n + 4 , n + 6 , then

n + n + 2 + n + 4 = n + 6 + 8

3n + 6 = n + 14 ( subtract n from both sides )

2n + 6 = 14 ( subtract 6 from both sides )

2n = 8 ( divide both sides by 2 )

n = 4

n + 2 = 4 + 2 = 6

n + 4 = 4 + 4 = 8

n + 6 = 4 + 6 = 10

the 4 integers are 4 , 6 , 8 , 10

So for a gallon of punch, you would need around two thirds of a cup of cranberry juice.

Equations go into one of two categories: identities or conditional equations. An identity holds true for each value of the variables. A conditional equation is valid only for certain values of the variables. An equation is represented by the equals sign ("="), which separates two expressions.

Here,

In essence, this can be set up in a proportion.

Two cups of cranberry juice are required per gallon of punch. The quantity of cranberry juice required for one gallon is what you need to determine. So, in order to set up your percentage, do as follows:

Following cross-multiplication, you should have the following:

=> 3x = 2

then division should result in this:

=> x = 2/3

So for a gallon of punch, you would need around two thirds of a cup of cranberry juice.

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The formula for the slope of parallel lines is m1 = m2, and the slopes of parallel lines are equal. The slope of parallel lines is identical because all of the parallel lines are similarly inclined with regard to the positive x-axis.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, etc.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" symbol in it.

Hence, The formula for the slope of parallel lines is m1 = m2, and the slopes of parallel lines are equal. The slope of parallel lines is identical because all of the parallel lines are similarly inclined with regard to the positive x-axis.

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x = y² - 7 is the simplified inverse equation of the equation y = x² - 7.

Inverse function is a function which reverse one function to another.

If a function f takes the variable x to y, then the inverse of a function must takes y to x.

To get the inverse of the function, we have to interchange the variables.

Given equation is y = x² - 7

Now interchange the variable x to y and y to x,

we get  x = y² - 7

Hence, the required equation is x = y² - 7

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The unknown number which is added to the number 32.6 will be 3.54.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that when adding 32.6 to a certain number, the sum is 36.14. The unknown number will be calculated as,

32.6 + N = 36.14

N = 36.14 - 32.6

N = 3.54

Therefore, the unknown number which is added to the number 32.6 will be 3.54.

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The required invested money is given as $2200.

Harriett Weiss earned $77 in simple interest in 6 months at an annual interest rate of 7%.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

Here,

Applying the standard formula for the simple interest.
SI  = principal × rate × time / 100
77 =[ p × 7 × 6/12 ]/ 100
p = 77 / 7 × 2 × 100
p = 11 × 200
p = 2200

Thus, the required investment amount is specified as $2200.

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The joint probability for events A and B is:

P(A and B) = 0.2072

We know that if two events A and B, each with correspondent probabilities

P(A) and P(B) are independet, then the joint probability (this is the probability that both events happen at the same time) is given by the product between the individual probabilities.

In this particular case we know that:

P(A) = 0.28

P(B) = 0.74

Then the joint probability of A and B is:

P(A and B) = P(A)*P(B) =0.28*0.74

P(A and B) = 0.2072

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Proving  X is computable by the theorem "Let W⊆ω. Then W is computable if both W and ω∖W are c.e".

Given :

If I can prove that X is c.e. and ω∖X is c.e. then I can prove that X is computable by the theorem "Let W⊆ω. Then W is computable if both W and ω∖W are c.e". But I'm not able to proceed on how should I do this.

Take a computable surjection :

f : ω → W.

Defined  G = { f ( x ) ∣ x ∈ ω and ∀y < x ( f ( y ) < f ( x ) ) }.

here clearly, G ⊆ W .

And G is infinite. For if f ( x ) ∈ G, take the smallest y such that f ( y ) > f ( x ); then f ( y ) ∈ V.

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If suppose all firms at industry are well merged into a single, then the Herfindahl index must become 10,000. Option (c) is correct.

A merger among organizations generating exclusive items or offerings for one particular completed product. A vertical merger takes place whilst or greater firms, working at exclusive ranges inside an industry's deliver chain, merge operations. Historically, mergers and acquisitions generally tend to end result in process losses.

Most of that is as a consequence of redundant operations and efforts to enhance efficiency. The threatened jobs encompass the goal company's CEO and different senior management, who regularly are provided a severance bundle and allow go."). Some not unusualplace synonyms of merge are amalgamate, blend, coalesce, commingle, fuse, mingle, and mix. While these kinds of phrases mean "to mix right into a greater or much less uniform whole," merge indicates a combining wherein one or greater factors are misplaced withinside the whole.

If all firms were merged at HHI, then it would be:

1. add all share market percent

2. take square of step 1

=(18+ 17+ 17+ 17+ 16+ 15= 100)

=100*100

= 10000

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Correct Question:

Refer to the data. If all the firms in the industry merged into a single firm, the Herfindahl index would become: A. 100. B. 1,000. C. 10,000. D. 100,000.

The expression that Rick choose is 99 + 53.

What is parentheses?

The well-known () symbols, often known as "round brackets," are used in pairs to group things together or designate the order of operations in an equation. You will frequently need to employ brackets in math when forming or resolving equations. They support number grouping and operation definition.

Given expression is 64 + 88

The simplest form of the expression 64 + 88 is 152.

152 = 99 + 53.

152 = 151 + 1

152 = 149 + 3

152 = 139 + 13

152 = 137 + 15

152 = 131 + 21

152 = 127 + 25

152 = 113 + 39

152 = 109 + 43

152 = 107 + 45

152 = 103 + 49

152 = 101 + 51

etc.

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The total cost of the recipe is 521.875 cents

In this question, we need to  calculate the total cost of the recipe by finding the total cost of each of the ingredients and adding them all together.

The ingredients amount in converted units

 ep                      amount         conversion       unit cost ($/unit)    

leeks                    4 oz                  0.25 lb               3.00/lb

yellow squash      10 oz               0.625 lb              2.85/lb

butter                    1 oz                0.0625 lb             3.00/lb

spinach                 8 oz                   0.5 lb                2.25/lb

eggs                     6 ea                   0.5 dozen          2.75/dozen

First, we have to determine to total cost per ingredient.

1. 0.25 x 3.00 = $0.75 (leeks)

2. 0.625 x  2.85 = $1.78125 (yellow squash)

3. 0.0625 x 3.00 = $0.1875 (butter)

4. 0.5 x 2.25 = $1.125 (spinach)

5. 0.5 x 2.75 = $1.375 (eggs)

Now, we can add the cost per ingredient to know the total cost.

$0.75 + $1.78125 + $0.1875 + $1.125 +  $1.375

= $5.21875

= 521.875 cents

Therefore, the total cost is 521.875 cents

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g(planet)/g(earth) = 12.25/9.8 = 1.25 m/s²

Gravitational Force

The gravitational force is a force that attracts any two objects with mass. We call the gravitational force. It is given by, F=Gm1m2r2, direction of force will be always towards the other mass along the line joining the two bodies. It is attractive force in nature.

Gravity

The force of attraction by which terrestrial bodies tend to fall toward the center of the earth. heaviness or weight. gravitation in general.

The acceleration due to gravity of a planet with mass M and radius R is g as:

free-fall acceleration = 12.25 m/s²

Formula for free fall acceleration is given by the gravity equation;

g = Gm/r²

Where;

M is mass of the Earth

r is radius of the Earth

G is the gravitational constant

That equation applies to the earth.

For this new planet, that the mass = 5 × mass of earth

And radius = 2 × radius of earth.

Thus, free fall acceleration for this planet is;

g_ p = G(5m)/(2r)²

g_ p = (5/4)(Gm/r²)

Gravitational constant has a value of 6.674 × 10^(−11) N.m²/kg²

Mass of the earth = 5.972 × 10^(24) kg

Radius of the earth = 6378 km = 6378000

Thus

g_ p = (5/4)(6.674 × 10^(−11) × 5.972 × 10^(24))/(6378000²) = 12.25 m/s²

The acceleration of gravity at the surface of the new planet is

g(planet)/g(earth) = 12.25/9.8 = 1.25 m/s²

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(a) The point estimate of the population variance is 400

(b) According to the 90% confidence interval, the population variance is 152 ≤ σ² ≤ 800

(c) According to the 90% confidence interval, the population standard deviation is 23.8 ≤ σ ≤  41.1

Standard deviation

in probability, standard deviation refers the measure of how dispersed the data is in relation to the mean.

Given,

Here we know that because of staffing decisions, managers of the a certain hotel are interested in the variability in the number of rooms occupied per day during a particular season of the year. A sample of 25 days of operation shows a sample mean of 300 rooms occupied per day and a sample standard deviation of 20 rooms.

Here we need to find the following.

a)  Here the point estimate of the population variance is calculated as,

=> Square of S = S²

The value of S is 20

=> 20² = 400

b) As per the confidence interval, the population variance is calculated as,

n = 20

S² = 400

Then the variance is

=> (n-1)s²/0.05  ≤ σ² ≤  (n-1)s²/0.95

When we apply the values on the equation, then we get

=>  (20-1) x 400/0.05  ≤ σ² ≤  (20 - 1) x 400/0.95

Variation 152 ≤ σ² ≤ 800

c) Finally, the Standard Deviation is calculated as,

=> 23.8 ≤ σ ≤  41.1

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Answer:

The correct answer is D: 40%.

Step-by-step explanation:

To find the percentage of the pieces of fruit in the bowl that are apples, you need to divide the number of apples by the total number of pieces of fruit and then multiply the result by 100%.

So, you would do the following calculation: (6 apples / 15 pieces of fruit) * 100% = 40%.

Answer:

Assuming that you're trying to multiply each one by five, the mistake is that in the second one, it would be [tex]\frac{-5}{25}[/tex] and not [tex]\frac{5}{25}[/tex]

Answer:

Below

Step-by-step explanation:

35/40    - 1/5 =

35/40 - 8/40 =

27/40

Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

In the given diagram, the arc length of the given arc is 10.46.

From the question, we are to determine the length of the arc.

From the formula for calculating the length of an arc, we have that

Length of an arc = θ/360° × 2πr

Where θ is the angle subtended by arc at the center of the circle

and r is the radius of the circle

In the given diagram,

Angle subtended = π/3 = 60°

Radius, r = 10

Thus,

The length of the arc = 60/360 × 2πr

Length of the arc = 1/6 × 2×3.14×10

Length of the arc = 10.46

Hence, the length is 10.46

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WR Answer: 10.46

Step-by-step explanation:

he length of the arc = 60/360 × 2πr

Length of the arc = 1/6 × 2×3.14×10

Length of the arc = 10.46

Hence, the length is 10.46

Answer:

we need a picture of the problem

Step-by-step explanation:

Answer:Adım adım açıklama: cevap ekte kolay gelsin.

Step-by-step explanation:

Answer: x = 25, y=15, z = 58

Step-by-step explanation:

The coordinate of T ' will be;

⇒ T ' = (- 31, - 23)

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

This is a Dilation with a scale factor of 4 (D4).

Now,

Since, The Center of Dilation of this transformation is at the center. But the transformation is given by a scale factor of 4 and adding to (-3,1) as;

⇒ T ' = 4 (- 7, - 6) + (-3, 1)

        = (- 28, - 24) + (-3, 1)

        = (- 31, - 23)

Thus, The coordinate of T ' = (- 31, - 23)

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Answer:

It's 37

Step-by-step explanation:

Answer: 37

Step-by-step explanation:

[tex]\displaystyle\\20-(2)(-7)+(-9)\div(-3)=\\\\20-(-14)+\frac{-9}{-3}=\\\\20+14+3=\\\\37[/tex]

Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.