ABC Corp. has 2,000 bonds outstanding with a $1,000 face value, an 9 percent coupon, 8 years to maturity, annual interest payments, and sells at $1,105.38. The firm also has 40,000 shares of common stock outstanding at a market price of $85 a share and a beta of 0.67. The risk-free rate is 4 percent, the market return is 15 percent, and the tax rate is 20 percent. What is WACC?

Answer:

The smallest number is two 2

The length of the intervals of the given frequency table is

500 ft.

The given list shows the lengths in feet of the 25 longest bridges in the United States.

we have to determine the median and mode of the bridge data.

The median is the middle number of the data set arranged in ascending order.

1010, 1053, 1200, 1207, 1380, 1470, 1495, 1596, 1600, 1600, 1600, 1632, 1750, 1800, 1850, 2000, 2150, 2150, 2300, 2310, 2800, 3500, 3800, 4200, 4260.

The median is 1750.

Mode is the number that appears most often in the data set.

1010, 1053, 1200, 1207, 1380, 1470, 1495, 1596, 1600, 1600, 1600, 1632, 1750, 1800, 1850, 2000, 2150, 2150, 2300, 2310, 2800, 3500, 3800, 4200, 4260

The mode is 1600.

Therefore the correct option is Median: 1750, Mode: 1600

So the length of the intervals of the given frequency table is

500 ft.

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Answer:

3 Years

Step-by-step explanation:

7000*22% = 1540

4620/1540 = 3

1540 = the yearly interest

so it will take 3 years of $1540 of interest to get $4620.

Normally you would also have to take into account the interest plus the base varible but since it specifically says 7000 it makes it a simple problem.

hope this helped

Answer:

5

Step-by-step explanation:

You just multiply the indices by the power so 1/6 x 6 = 1 and 5 to the power of 1 is just 5.

Answer:

4

Step-by-step explanation:

Because i divided 4 2/3 by 22 1/6 = 4.75 and for full sheets it would be 4

Hope This Helped

Mark the lines

Put the values

Done

Answer:

[tex]\sf \tan(D)=\dfrac{\sqrt{38}}{\sqrt{53}}[/tex]

Step-by-step explanation:

Tangent trigonometric ratio

[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

Substituting the given values into the formula:

[tex]\implies \sf \tan(D)=\dfrac{\sqrt{38}}{\sqrt{53}}[/tex]

Answer:

3.5 meter is the answer.

Answer:

3.5 Meters

Step-by-step explanation:

5 Meters is equivalent to 5000 millimeters

1 day = 300mm

5 days = (300*5)

= 1500 mm

= 5000 mm - 1500 mm

Yarn left = 3500 mm

= 3.5 Meters

The size of the unknown angle "x"

The given polygon is a Pentagon so the sum of interior angle will be,

[tex]\large\boxed{Formula: ( n − 2 ) × 180}[/tex]

n means the number of sides

Let's substitute the values according to the formula.

[tex](5-2)×180[/tex]

[tex]=540°[/tex]

Now, we can find the sum of one interior angle.

[tex]\large\boxed{\frac{sum \: of \: interior \: angles}{n}}[/tex]

n means the number of sides.

Let's substitute the values according to the formula.

[tex]x=\frac{540}{5}[/tex]

[tex]\large\boxed{x= 108°}[/tex]

Therefore, the size of the unknown angle "x" is 108°

Answer:

it is -6. . . . . . . . . . . . . . . . .. ... . . . . . . .

Answer:

1. obtuse angle

2. Right angle

3. Adjacent angle

4. Supplementary angle

5. Acute angle

6. Straight line

7. Complementary angle

8. Vertical Angle

9. linear

10. Vertex

Step-by-step explanation:

1. Obtuse angle are angle that measures greater than 90 degree but less and 180 degree

2. Right angle are angle that measures exactly 90 degree

3. Adjacent angle are angles that has a common vertex and share a common side

4. Straight angle is a pair of angle whose sum is 180 degree.

5. Acute angle is an angle greater than 0 degree but less than 90 degree

6. straight line measure exactly 180 degree

7. Complementary angle is a pair of angle whose sum is 90 degree.

8. Vertical Angle is a pair of angle made by intercepting lines with congruent opposite side

9. Linear is a pair of adjacent, supplementary angles.

10. Vertex is an common end point that two rays meet to form an angle.

If the value of the angle θ is 77.32°. Then the value of cos 2θ will be the negative 0.90.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The trigonometric equation is given below.

tan θ = 40/9

tan θ = 4.444

Then the angle θ will be

θ = tan⁻¹(4.444)

θ = 77.32°

Then the value of cos 2θ will be

cos 2θ = cos (2 x 77.32°)

cos 2θ = cos 154.64°

cos 2θ = - 0.9036

cos 2θ ≅ - 0.90

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A cylinder is a three-dimensional structure formed by two parallel circular bases. The lateral and the total surface area of the cylinder are 113.1 yd² and 169.7 yd².

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.

Lateral area of the cylinder = Area of the curved surface

                                             = 2πR × H

                                             = 2 × π × 3yd × 6yd

                                             = 36π yd²

                                             = 113.0973 yd² ≈ 113.1 yd²

The total surface area of the cylinder

         = Area of the two bases + Area of the curved surface

         = 2(π × 3²) + 113.0973 yd²

         = 56.54866 yd² + 113.0973 yd²

         = 169.6459 yd² ≈ 169.7yd²

Hence, the lateral and the total surface area of the cylinder are 113.1 yd² and 169.7 yd².

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Answer:

Simple Interest = PTR/100

P=450

T=2

R=3%

Simple Interest = PTR/100

=450×2×3\100

=27

Hence the interest is 27.

Answer: 30

Step-by-step explanation:

If we were to draw diagonal BD, then we would create two congruent triangles, and we could find the area of each using the formula [tex]A=\frac{1}{2} ab \sin C[/tex].

However, since there are two triangles, we can double this, giving us [tex]A=ab \sin C[/tex].

So, the area is [tex]A=(10)(6)(\sin 30^{\circ})=\boxed{30}[/tex]

Answer:

The second step is to isolate the variable by multiplication or division

Step-by-step explanation:

so it should be solving the x

Answer:]

A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.

:]   Correct me if i'm wrong  :]

So, when we evaluate 1/2 × (6 × 4) ÷ 3 + 2 = 8

To answer the question, we must use the rules of arithmetic in mathematical operations

Mathematical operations are operation which include

In arithmetic, we follow the rule PEMDAS where

So, to evaluate 1/2 × (6 × 4) ÷ 3 + 2, we follow this rule.

So, 1/2 × (6 × 4) ÷ 3 + 2 = 1/2 × 24 ÷ 3 + 2

= 12 ÷ 3 + 2

= 6 + 2

= 8

So,  1/2 × (6 × 4) ÷ 3 + 2 = 8

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Step-by-step explanation:

the area of a circle is

pi × r²

r is the radius (= half of the diameter) of the circle.

radius in our car is 12/2 = 6 yd

and we are to use 3.14 as pi.

so we get as area

3.14 × 6² = 3.14 × 36 = 113.04 yd²

A correlation coefficient of 0.55 indicates that her prediction will probably be close to the actual value.

The correlation coefficient shows the relationship between two variables. It can be used to describe how to variables increase or decrease.

Thus, a correlation coefficient of 0.55 indicates that her prediction will probably be close to the actual value.

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Answer:A. MN is a perpendicular bisector.
Hope that helps

Step-by-step explanation:

The missing areas and dimensions of the given squares, rectangles, and triangles are:

2. 36 cm²

3. 21 cm²

4. 9 cm²

5. 5 cm

6. 10 cm

7. 4 cm

8. 8 cm

9. 7 cm

10. 7

11. 10

Area of a square = s²

Area of a rectangle = (length)(breadth)

Area of a triangle = 1/2(base)(height).

2. Area of square = s² = 6² = 36 cm².

3. Area of a rectangle = (length)(breadth) = (3)(7) = 21 cm².

4. Area of a triangle = 1/2(base)(height) = 1/2(3)(6) = 9 cm².

5. Area of a rectangle = (length)(breadth)

60 = (12)(breadth)

Breadth = 60/12

Breadth = 5 cm.

6. Area of a triangle = 1/2(base)(height)

35 = 1/2(7)(height)

Height = (35)(2)/7

Height = 10 cm

7. Area of a square = s²

16 = s²

s = √16

s = length = 4 cm

8. Area of a triangle = 1/2(base)(height)

40 = 1/2(10)(height)

Height = 40/5

Height = 8 cm.

9. Area of a square = s²

49 = s²

s = √49

s = length = 7 cm

10. Area of a rectangle = (length)(breadth)

84 = (12)(breadth)

Breadth = 84/12

Breadth = 7 cm.

11. Area of a triangle = 1/2(base)(height)

35 = 1/2(7)(height)

Height = 70/7

Height = 10 cm.

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1.The temperature will be, T2= 169.8 K

2. The volume if the temperature is 318 K is 0.170 L

Charles's law, a statement that the volume occupied by a fixed amount of gas is directly proportional to its absolute temperature, if the pressure remains constant.

Given: V1= 250 ml=0.25L

V2=150 ml= 0.15 L

T1= 10 °C=283 K, T2=?

Now using Charles law

V1/T1=V2/T2

0.25/283=0.15/T2

T2= 169.8 K

2. T1= 20 °C= 293 K

    V1= 160 cm³

     T2= 318 K

     V2=?

Using Charles Law,

V1/T1=V2/T2

0.16/293=V2/313

0.170 L=V2

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Answer:

281.3

Step-by-step explanation:

If the shapes are similar then the linear scale factor is :

15÷20 = 0.75

The area scale factor will be 0.75²

The area scale factor is 0.5625

500 × 0.5625 = Area of shaded rectangle

Area of shaded rectangle = 281.25

To the nearest tenth = 281.3

Hope you understood and brainliest please

Answer:

[tex]281.3 m^{2}[/tex]

Step-by-step explanation:

I've done this before I have the work attached below in a screenshot. Sorry that it's not much but I hope it helps!

Please feel free to comment, give feedback, ask questions, and correct me if I am wrong!

Have a great day

:)

The perpetual inventory system is an inventory management method that records when stock is sold or received in real-time.

a. Debit Accounts Receivable 12000

Credit  Sales  12000

Debit Cost of Merchandise Sold 6500

Credit    Merchandise Inventory  6500

b. Debit Cash 9500

Credit Sales  9500

Debit Cost of Merchandise Sold 5300

Credit Merchandise Inventory  5300

c. Debit Cash 2900

Credit  Sales  2900

Debit Cost of Merchandise Sold 1700

Credit  Merchandise Inventory  1700

d. Debit Credit Card Expense 385

Credit  Cash  385

e. Debit Credit Card Expense 75

Credit Cash  75

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Answer:

36 units²

Step-by-step explanation:

rectangle with area of 12 square units is dilated by a scale factor of 3. What is the area?

Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

we use the inverse formula

12 * 3 =

36 units²

-----------------------

check

36 : 12 = 3

the answer is good

Based on the segment addition postulate, the length of GH is: 4 units.

The segment addition postulate states that if a line segment is divided into smaller parts, the sum of the length of the smaller parts equals the length of the line segment.

FI = FG + HI + GH [segment addition postulate]

7 = 2 + 1 + GH

7 = 3 + GH

7 - 3 = GH

4 = GH

GH = 4 units.

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Answer:

B- 4 units

Step-by-step explanation:

Answer:

¥4630.50

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}[/tex]

where:

Given:

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=4000\left(1+\dfrac{0.1}{2}\right)^{2 \times 1.5}[/tex]

[tex]\implies \sf A=4000\left(1.05\right)^{3}[/tex]

[tex]\implies \sf A=4630.50[/tex]

Answer:

¥4630.50

Step-by-step explanation:

Here,

ATQ, as well,the interest is payable in half-yearly.

We know that,

[tex] \boxed{\rm \: A = P \bigg(1+ \cfrac{ \cfrac{r}{2} }{100} \bigg) {}^{2n} }[/tex]

Substitute the values

[tex]A = 4000 \bigg(1 + \cfrac{5}{100} \bigg) {}^{2 \times \frac{3}{2} } [/tex]

Now solve.

[tex]A = 4000 * (21/20)^3[/tex]

[tex] \implies \: A = 4000 \times \cfrac{21}{20} \times \cfrac{21}{20} \times \cfrac{21}{20} = \cfrac{21 \times 21 \times 21}{2} [/tex]

[tex] \implies \: A = \: \yen \: 4630.50[/tex]

Hence,the sum of ¥ 4000 will be amounted to ¥4630.50 in 1 1/2 years.

[tex] \rule{225pt}{2pt}[/tex]

This question arises:Why we used that formula?

Reason:

The compound interest is calculated half-yearly, the formula changes a little.In this case for r we write r/2 and for n we write 2n because a rate of r% per annum is r/2% half-yearly and n years = 2n half year So this is the reason.

It cost a boy $13.50 to take a girl out for the evening. Sixty percent of this was for the theater tickets. What was the cost of each ticket?

60% of $13.50 is 0.6*13.50 = 8.10

Cut this figure in half to get 8.10/2 = 4.05

So the cost of each ticket was $4.05

The cost of each ticket is $4.05.

학습을 계속하다

Answer:

b= -18

Step-by-step explanation:

x=3, y= -6, m=4

y=mx+b

-6 = 4 x 3 + b    Solve for b

-6 = 12 + b

-6-12 = b

b= -18

Answer:

b = -18

Step-by-step explanation:

    Slope = m = 4

Plugin the value of slope in the above equation.

    y = 4x + b

Now, the line passes through the point (3 , -6). Substitute x and y coordinates in the above equation.

     -6 = 4*3 + b

     -6 = 12 + b

      b = -6 - 12

      b = -18

[tex]\sf \boxed{\bf y-intercept = -18}[/tex]

Answer: [tex]45^{\circ}[/tex]

Step-by-step explanation:

[tex]\angle ABC[/tex] is formed by [tex]\overline{AB}[/tex] and [tex]\overline{BC}[/tex], so we can begin by finding their slopes.

[tex]m_{\overline{AB}}=\frac{2-5}{4-7}=-1\\m_{\overline{BC}}=\frac{2-2}{9-4}=0[/tex]

This means that:

[tex]\tan \left(\angle ABC \right)=\left| \frac{-1-0}{1-(0)(-1)} \right|\\\tan \left(\angle ABC \right)=1[/tex]

As [tex]\angle ABC[/tex] is acute, this means [tex]m\angle ABC=\boxed{45^{\circ}}[/tex]

Answer:

MMm mmm mmm mmm sh get wicked mmm mmm mm like what u saying mmm mmm mmm gla mmmm

Step-by-step explanation: