Solve for x in the triangle. Round your answer to the nearest tenth.

If the cost of equity is 12% , cost of debt 10%, tax rate 25%, 20 million market value of debt , 60 million market value of equity then the weighted average cost of capital is 10.875%

Given cost of equity is 12% , cost of debt 10%, tax rate 25%, 20 million market value of debt , 60 million market value of equity.

We know that weighted average cost of capital= cost of equity* weight of equity+ cost of debt* weight of debt.

Cost of debt (consider after tax)=10%(1-25%)

=10%*0.75

=0.075

Weight of equity=60/80

=0.75

Weight of debt=20/80

=0.25

Weighted average cost of capital=12%*0.75+0.075*0.25

=0.09+0.01875

=0.10875

=10.875%

Hence the weighted average cost of capital is 10.875%

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Answer:

20

Step-by-step explanation:

Just replace n by -4

[tex]\frak{Hi!}[/tex]

[tex]\orange\hspace{300pt}\above0.8[/tex]

                                We have the expression-:

                                [tex]\boldsymbol{\sf{f(n)=n^2-n}}[/tex], and we should evaluate that for

                               [tex]\boldsymbol{\sf{f(-4)}}[/tex]. To do that simply put in the value for x-:

                              [tex]\boldsymbol{\sf{f(-4)=(-4)^2-(-4)=16+4=20}}[/tex]

done!!

[tex]\orange\hspace{300pt}\above3[/tex]

Hello and Good Morning/Afternoon

Let's take this problem step-by-step:

First step

⇒ consider the fact cotθ = 1 / (tanθ)

 [tex]\frac{1+tanx}{1+cotx} =\frac{1+tanx}{1+\frac{1}{tanx} }[/tex]

Second step

⇒ form a common denominator for the fraction in the 'denominator'

[tex]\frac{1+tanx}{1+\frac{1}{tanx} } =\frac{1+tanx}{\frac{tanx+1}{tanx} }[/tex]

Let's flip over the fraction on the denominator

[tex]\frac{1+tanx}{\frac{tanx+1}{tanx} } =(1+tanx) * \frac{tanx}{1+tanx} =tanx[/tex]

And there you go, you have proved the statement by following these steps!

 *note, I used 'x' because the equation creator didn't have 'θ' symbol

Hope that helps!

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Answer:

undefined - you can't divide by 0!

Step-by-step explanation:

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

m = [tex]\frac{10-(-8)}{1-1}[/tex]

m = 18/0

In order to find the slope, we have the formula is

The change of Y (Also Y minus each other)

----------------------------------------------------------------- Over (As fraction

The change of X (Also X minus each other)

Now the first point is (1,10) The Y is 10

                                               The X is 1

Now the Second Point is (1,-8) The Y is -8

                                                     The X is 1

So now we plug the numbers in

10-(-8)

---------                which is equal to 18/0

1-1  

A quick tip is that you CAN'T divide by zero

Therefore the answer is unidentified, but now you know how to solve for slopes

By applying the law of cosine, the length of side CE is equal to 9.22 cm and the image of right-angled triangle BCE is shown in the image attached below.

In order to determine the length of side CE, we would apply the law of cosine because both side CE and side BC respectively represent the adjacent side and hypotenuse of right-angled triangle BCE.

cos(θ) = Adj/Hyp

Where:

Substituting the parameters into the formula, we have;

cos(θ) = CE/BC

cos(11.46) = CE/9.41

Cross-multiplying, we have:

CE = 9.41 × cos(11.46)

CE = 9.41 × 0.9801

CE = 9.22 cm.

By applying the law of cosine, the length of side CE is equal to 9.22 cm and the image of right-angled triangle BCE is shown in the image attached below.

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Answer:

fvbafdbai

Step-by-step explanation:

gyhghg

The probability of women will be 0.49.

Based on the information given, the probability women will be:

Number of women = 85 + 32 = 117

Number of men = 70 + 51 = 121

Total = 117 + 121 = 238

The probability of women will be:

= 117/238

= 0.49

The probability of women or summer will be:

= 0.49 × 155/238

= 0.32.

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The correct simplification of x^12z^11/x^2z^4 is [tex]x^{10}z^{7[/tex]

The expression is given as:

x^12z^11/x^2z^4

Rewrite properly as

[tex]\frac{x^{12}z^{11}}{x^2z^4}[/tex]

Apply the quotient law of indices

[tex]x^{12-2}z^{11-4}[/tex]

Evaluate the difference

[tex]x^{10}z^{7[/tex]

Hence, the correct simplification of x^12z^11/x^2z^4 is [tex]x^{10}z^{7[/tex]

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Answer:

-1/2 and 13/2

Step-by-step explanation:

Answer:

I believe the answer is B, it makes the most sense

Step-by-step explanation:

Answer: (a * 50%)^3

Step-by-step explanation:

length = a

(a * 50%)^3

If a would've been the length and would've been decreased to 50%, the volume would be equal to that expression.

The information given about the probability shows that the expected maintenance cost is $22950.

From the information given, the repair hours and the probability are given.

In this case, the maintenance cost will be:

= (8 × 0.05) + (10 × 0.12) + (12 × 0.15) + (14 × 0.32) + (15 × 0.22) + (17 × 0.14) × $1700

= 13.50 × $1700

= $22950

In conclusion, the correct option is D.

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Answer:

36.

Step-by-step explanation:

try this option provided on the attached picture.

Hello,

f'(x) = sin(x) - 65 → f(x) = -cos(x) - 65x

The complement of the given set is:

A* = {-1, 0, 1, 4, 5}

For any set A on a universal set U, such that:

A ⊂ U.

The complement of A is the set of all the terms on U that do not belong to A.

Here we have:

U = {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7}

And the given set is:

A = {-3, -2, 2, 3, 6, 7}

Then the complement of A is:

A* = {-1, 0, 1, 4, 5}

(all the elements of U that are not in A).

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Answer:

6.9

Step-by-step explanation:

If you have a calculator, you can do this easily.

[tex]\sqrt{48}=4\sqrt{3}\quad \left(\mathrm{Decimal:\quad }\:6.92820\dots \right)[/tex]

Round the Decimal to the tenths place, and you get 6.9.

Answer:

the answer is x<9 I found this by simplifying and separating the x

Finance charge is: d.) $69.25.

Using this formula

Finance charge=(Monthly payment× Number of payment)-(Purchase price-Down payment)

Let plug in the formula

Finance charge=($22.50×12)-($225.75-$25)

Finance charge=$270-$200.75

Finance charge=$69.25

Therefore the Finance charge is: d.) $69.25.

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Answer: y = -3

Step-by-step explanation:

The midpoint is [tex]\left(\frac{-2+4}{2}, \frac{2-8}{2} \right)=(1, -3)[/tex].

The line given is a vertical line, so we need a horizontal line.

Thus, the equation is y = -3.

The computation shows that the year that Helike disappeared is 2248 years in between.

From the information, Helike disappearance was denoted as -1/5w. The year that civil year ended was represented as c + 1/4c.

This implies that year Helike disappeared will be:

= c + 1/4c - +-1/5w)

= 2248 years.

Here is the complete question:

The year the Greek city of Helike disappeared is -⅕ times the year the US Civil War ended. Let w represent the year the Civil War ended. Write an expression in terms of w to represent the year of Helike’s disappearance.

Part G

Use the results from Part E and Part F to determine the year Helike disappeared. Express your answer in terms of BC or AD.

Part H

Using the results from parts D through G, write an expression that represents the number of years elapsed between the disappearance of the Greek city of Helike and the end of the US Civil War. Write the expression in terms of c and w. Then solve the expression to find out how many years separate these two events.

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Answer: 104 inches or 8' 8"

Step-by-step explanation:

1 foot = 12 inches

21 * 12 = 252 inches + 9 = 261 inches

13 * 12 = 156 + 1 = 157 inches

261 - 157 = 104 inches

104 / 12 = 8' 8"

Answer:

0.0000432

Step-by-step explanation:

In scientific notation, 10 raised to a negative number means that the number is less than 1. If the exponent is -5, the decimal place needs to be moved to the left 5 places. This makes the number in standard form: 0.0000432.

The swimsuits that can be produced with the new partner is  23,043.

The swimsuits that can be produced without the partner is  16,521.

The equation that relates total cost, operating cost and cost per swimsuit together is

Total cost = operating cost + (cost per swimsuit x number of swimsuits)

500,000 = 120,000 + ($23x s)

500,000 - 120,000 = 23s

380,000 = 23s

s = 380,000 / 23

s = 16,521

Number of swimsuits that can be produced with the new partner:

(500,000 + 150,000)  = 120,000 + ($23x s)

650,000 = 120,000 + 23s

650,000 - 120,000 = 23s

530,000 = 23s

s = 530,000 / 23

s = 23,043

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The value of sec(V) is 5/3

The tangent is given as:

tan(V) = 4/3

To solve for sec(V), we use the following identity

sec^2(V) = tan^2(V) + 1

So, we have:

sec^2(V) = (4/3)^2 + 1

This gives

sec^2(V) = 16/9 + 1

Evaluate the sum

sec^2(V) = 25/9

Take the square root

sec(V) = 5/3

Hence, the value of sec(V) is 5/3

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Using equation, He bought 3 boxes of ballpoint pens and 15  boxes of felt-tip pens

let

x = number of boxes of ballpoint pens

y = number of boxes of felt-tip pens

Therefore, the situation will form an equation.

x = 5y

Hence,

4.33x + 3.42y = 75.21,

4.33(5y) +  3.42y = 75.21

21.65y + 3.42y = 75.21

25.07y = 75.21

y = 75.21 / 25.07

y = 3

x = 5(3) = 15

Hence, he bought 3 boxes of ballpoint pens and 15  boxes of felt-tip pens

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The person that would cover the most tile is Bruce because 1/4 is bigger than 1/6.

Bruce has been said to have the need for 1/4 square foot of tiles

Felicia on the other hand would need

1/6 for 1 sq foot

12 for 2 square foot

18 for 3 square foot

Bruce is knwon to cover

[tex]\frac{1}{4} x[/tex]

For felicia one square foot is covered by 1/6th

Now we have to know the one that is larger.

1/4 is bigger than 1/6

Hence we can conclude that Bruce is going to cover a larger are than Felicia.

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Answer: The person who covered the most tiles is Bruce, because 1/4 is bigger than 1/9.

Step-by-step explanation:

The volume that is left to be filled is approximately: 3,332.6 in.³

Volume of a box = (length)(width)(height)

Given the following:

Volume of the bat = 82 cubic in.

Length of box = 30 in.

Width = 18.97 in.

Height = 6 in.

The remaining volume to be filled = volume of box - volume of bat

= (30)(18.97)(6) - 82

= 3,332.6 in.³

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The z-scores of the scores are -1.34, -0.73, 0.48, 0.48 and 1.10

The sample scores are given as:

2, 3, 5, 5, 6.

Calculate the mean and the standard deviation using a statistical calculator.

From the statistical calculator, we have:

[tex]\bar x = 4.2[/tex] --- mean

[tex]\sigma_x = 1.64[/tex] --- standard deviation

The z-score is then calculated using

[tex]z= \frac{x - \bar x}{\sigma}[/tex]

Where:

x = 2, 3, 5, 5, 6.

So, we have:

[tex]z_1= \frac{2 - 4.2}{1.64} = -1.34[/tex]

[tex]z_2= \frac{3 - 4.2}{1.64} = -0.73[/tex]

[tex]z_3= \frac{5 - 4.2}{1.64} = 0.48[/tex]

[tex]z_4= \frac{5 - 4.2}{1.64} = 0.48[/tex]

[tex]z_5= \frac{6 - 4.2}{1.64} = 1.10[/tex]

Hence, the z-scores of the scores are -1.34, -0.73, 0.48, 0.48 and 1.10

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