Answer:
Since the instruction in the question indicates that the % symbol should not be used, the weighted average cost of capital (WACC) for Easy Car Corp is therefore 12.07.
Step-by-step explanation:
This can be calculated using the following steps:
Step 1: Calculation of the current bond price
Semiannual coupon amount = Bond face value * Semiannual coupon rate = $1000 * (10% / 2) = $50
Semiannual coupon discount factor = ((1 - (1 / (1 + r))^n) / r) .......... (1)
Where;
r = Semiannual yield to maturity (YTM) = 8% / 2 = 0.08 / 2 = 0.04
n = number of semiannuals = 23 years * 2 = 46
Substituting the values into equation (1), we have:
Semiannual coupon discount factor = ((1-(1/(1 + 0.04))^46) / 0.04) = 20.8846535613106
Present value of coupon = (Semiannual coupon amount * Semiannual coupon discount factor) = $50 * 20.8846535613106 = $1,044.23
Present value of the face value of the bond = Face value / (1 + r)^n = $1,000 / (1 + 0.04)^46 = $164.61
Therefore, we have:
Current bond price = Present value coupon + Present value of the face value of the bond = $1,044.23 + $164.61 = $1,208.84
Step 2: Calculation of weights of each finance source
Market value of common shares outstanding = Number common shares outstanding * Current price per share = 2,000,000 * $13 = $26,000,000.
Market value of bond = Number of bonds * Current bond price = 30,000 * $1,208.84 = $36,265,200
Total financing market value = Market value of common shares outstanding + Market value of bond = $26,000,000 + $36,265,200 = $62,265,200
Weight of Market value of common shares outstanding = Market value of common shares outstanding / Total financing market value = $26,000,000 / $62,265,200 = 0.42
Weight of Market value of bond = Market value of bond / Total financing market value = $36,265,200 / $62,265,200 = 0.58
Step 3: Calculation of return on equity
Current year dividend = Last year dividend * (1 + Dividend growth rate) = $2 * (1 + 4.0%) = $2.08
Next year dividend = Current year dividend * (1 + Dividend growth rate) = $2.08 * (1 + 4.0%) = $2.1632
The return on equity can now be calculated using the following formula:
Current share price = Next year dividend / (Return on equity – Dividend growth rate) ………………….. (2)
Where;
Current share price = $13
Next year dividend = $2.1632
Return on equity = ?
Dividend growth rate = 4.0%, or 0.04
Substituting the values into equation (2) and solve for return on equity, we have:
13 = 2.1632 / (Return on equity - 0.04)
13 * (Return on equity - 0.04) = 2.1632
(13 * Return on equity) – (13 * 0.04) = 2.1632
(13 * Return on equity) – 0.52 = 2.1632
13 * Return on equity = 2.1632 + 0.52
Return on equity = 2.6832 / 13
Return on equity = 0.21
Step 4: Calculation of Weighted average cost of capital
Weighted average cost of capital = (WS * CE) + (WD * CD * (1 – T)) ………………… (4)
Where;
WS = Weight of Market value of common shares outstanding = 0.42
WD = Weight of debt = Weight of Market value of bond = 0.58
CE = Cost of equity = Return on equity = 0.21
CD = Cost of debt = YTM = 8%, or 0.08
T = Tax rate = 30%, or 0.30
Substituting the values into equation (3), we have:
Weighted average cost of capital = (0.42 * 0.21) + (0.58 * 0.08 * (1 - 0.30)) = 0.12068, or 12.068%
Rounding to two decimal places, we have:
Weighted average cost of capital = 12.07%
Since the instruction in the question indicates that the % symbol should not be used, the weighted average cost of capital (WACC) for Easy Car Corp is therefore 12.07.
What is 2.0993+1.256 rounded to the tenths place?
Answer: is 3.3553 but if you want to round it up, you will go out 4
Step-by-step explanation:
2.0993+1.256
3.3553=4
The sides of a triangle are 5 cm, 5 cm and 6 cm. The altitude of the longest side is
Answer:
Hi... U should do like this
3a. Find the volume of the 3-dimensional object. (enter only the number
Answer:
60 m^3.
Step-by-step explanation:
3*4*5.
How do you slope on a graph?
Answer:
Pick two points on the line and determine their coordinates.
Determine the difference in y-coordinates of these two points (rise).
Determine the difference in x-coordinates for these two points (run).
Step-by-step explanation:
Answer:
Use the equation- Rise/Run
Step-by-step explanation:
First Rise up, go up or down then, Run left or right. It should create a right triangle and then you will be left with a fraction. Simplify the fraction and then there is your answer hope this helps!! :)
Rusty's hair grows at the rate of 1 over 4 inch per month.
How many months will it take Rusty's hair to grow 5 over 8 inch?
Explain your answer using words, and show your work using division of fractions
Answer:
5 months
Step-by-step explanation:
because 1,1,1,1,1 = 5 4,4=8 5/8
Answer:
I got the answer 0.388888... by divided 7 by 18. (1) I added a zero to 7. (2)I times 3 to 18 to make 54 and subtracted my dividend by this. (3)The answer was 160 which I subtracted by 18x8 which equals 144. The answer of the was 160 and I could go on and on repeating step 3.
Step-by-step explanation:
I got the answer 0.388888... by divided 7 by 18. (1) I added a zero to 7. (2)I times 3 to 18 to make 54 and subtracted my dividend by this. (3)The answer was 160 which I subtracted by 18x8 which equals 144. The answer of the was 160 and I could go on and on repeating step 3.
the point (-3, 2) is translated 2 units to the left and 7 units up. what are the new coordinates
Answer:
(-5, 9)
Step-by-step explanation:
(-3-2, 2+7)= (-5,9)
Please help me it’s due today at 11:00pm will mark the brainiest please really need help
The 7th grade has 220 students. Three-fifths of the students are girls. How many boys are in the 7th grade?
Answer:
88 are boys
Step-by-step explanation:
220 times 3/5 = 132
220-132 =88
The number of boys in the 7th grade is B = 88 boys
What is an Equation?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.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as B
Now , the value of B is = number of boys
Substituting the values in the equation , we get
If three-fifths of the students are girls, then two-fifths must be boys, since the total fraction of students is equal to 1
On simplifying the equation , we get
To find the number of boys in the 7th grade, we can start by calculating the fraction of boys:
( 2/5 ) x 220 = 88
Hence , there are 88 boys in the 7th grade.
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8/180.0 i really need this anwser kid version for my kid pls and i would help but i also dont know
Hi, is this a fraction and are you asking for it to be simplified?
If so 8/180 simplifies to 2/45. If you're asking for 8 divided by 180, the answer is 0.04444444 or simply 0.0444... and rounded to the 100th place is 0.04
Kennedy draws 12 circles she shades 3/4 how many circles does jennedy shade
Answer:
9
Step-by-step explanation:
12 / 4 = 3
3 x 3 = 9
For the equation given below, evaluate y′ at the point (2,2).
xey−4y=3x−14+2e2
....... Why it's too difficult!?!?!? What is your class level?
So I need help. Obviously... Either.. I need help and please look at the images because brainly wants to be annoying and not let me say the P R O B L E M .
Answer
A
Step-by-step explanation:
Because this is per serving just start with 1 serving and multiply it by how many servings you're solving for
1 serving
Fat: 2
Protein: 11
2 servings
Fat: 4
Protein: 22
3 servings
Fat: 6
Protein: 33
4 servings
Fat: 8
Protein: 44
Because we want to be exact letter A is the best choice. The reason is simple. The other graphs are like measuring an exact cm measurement in inches. Yes, its possible and not wrong, but you're relying on the coordination of the person reading it to get it exact to the measurement which is more work than needed.
Hope this helps :)
6. Evaluate f(-1).
7. What value of a will make the equation f(a) = 6 true?
someone please help lol I have a test <3
Answer:
6. -f 7. f= 6/8
Step-by-step explanation:
Hope dis helps!!
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By
* Math
11
3.
Let x and y be positive integers and x >y.
11
Complete Question:
Let x and y be positive integers and x be greater than y.
11x/11y = ?
Answer:
11x/11y = x/y
Step-by-step explanation:
Given
x > y
Required
11x/11y
From the question, we understand that x is greater than y (i.e. x > y)
Also, we'll assume that y ≠ 0, in other not to result in an undefined result.
So,
11x/11y
Divide the numerator and denominator by 11
(11x ÷ 11)/(11y ÷ 11)
The result of the division is:
(x)/(y)
x/y
Hence,
11x/11y = x/y for x > y and y ≠ 0
Bronny wants to buy a new game console that costs $200. He has already saved up 25% of the cost. How much has bronny saved so far?
Find the area of the shape shown below plsss hurry I only have limited time
Answer: 32
Step-by-step explanation: so we can start by finding the two small ones at the bottom. so 2 times 2 is 4/2 is 2, 2 times 6 is 12/2 is 6. then we have a square in the middle that is 2 times 2 is 4. then to find the rest, we can add the 2, the 6, and because we know the bottom middle shape is a square, another two, so we end up with a line of 10 unites. then we can do 4 times 10 is 40/2 is 20. then we add all of our answers. so 20 plus 2 plus 4 plus 6 which is 32.
Answer:
32
Step-by-step explanation:
4*10 = 40/2 = 20
2*2 = 4/2= 2
2*2=4
6*2 = 12/2= 6
20+2+4+6 = 32
can someone plz help me with this
Answer:
Step-by-step explanation:
2a. f(-3) = (-3)^2-4(-3)+6 = 9+12+6 = 27
2b. f(-2) = 3(-2)^2-(-2)^3 -2 +1 = 3(4) - (-8) -2 +1
= 12+8-1 = 19
Given that ABCD is a rhombus, what is the value of x?
Answer:
where is x
Step-by-step explanation:
Answer:
If it is (3x+12) then the answer is 19.5
Step-by-step explanation:
help pls jsjsjsjsbxbb
Answer: The answer is d
Can you mark me brainliest
Answer: I am pretty sure the answer is B. Hope this helps!
12x+2y=-12 in slope form
Answer:
y = -6x - 6
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Standard Form: 12x + 2y = -12
Step 2: Rewrite in slope-intercept form
Subtract 12x on both sides: 2y = -12x - 12Divide 2 on both sides: y = -6x - 6What is the solution to the equation 3x + 2(x − 9) = 8x + x − 14?
a
−8
b
−1
c
1
d
8
Andy and Christopher are measuring a liquid solution using graduated cylinders, Andy uses 3.5 liters of the liquid solution, and Christopher uses 2,580 milliliters of the liquid solution. What is the ratio of Christopher's measurements to Andy's measurements in milliliters? One liter equals 1,000 millilters. Simplify your answer.
Answer:
[tex]Ratio = 0.74[/tex]
Step-by-step explanation:
Represent
- Andy with A
- Christopher with C
[tex]A = 3.5L[/tex]
[tex]C = 2580mL[/tex]
Required
Determine the ratio of C to A
Ratio is represented as thus:
[tex]Ratio = C:A[/tex]
Rewrite as fraction
[tex]Ratio = \frac{C}{A}[/tex]
This gives
[tex]Ratio = \frac{2580mL}{3.5L}[/tex]
Convert L to mL
[tex]Ratio = \frac{2580mL}{3.5*1000mL}[/tex]
[tex]Ratio = \frac{2580mL}{3500mL}[/tex]
[tex]Ratio = \frac{2580}{3500}[/tex]
[tex]Ratio = 0.73714285714[/tex]
[tex]Ratio = 0.74[/tex] --- Approximated
5 cm
What is the area?
8 cm
What is the area of 5 cm x 8 cm
Answer:
40 cm^2
Step-by-step explanation:
The sixth-grade class was asked the question, “What do you spend the most time on each weeknight?” The results are shown in the table. What percent of the sixth-grade class said that they spend the most time communicating with friends?
A.30%
B.43%
C.70%
D.81%
30 percent of the sixth-grade class said that they spend the most time communicating with friends. Option A is correct.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
The total number of students,
56+32+81+39+62=270
The number of students involved in communicating with friends is 81.
The percentage of the student involved in communicating with their friend,
=(81/270)×100
=30%
Thus, 30 percent of the sixth-grade class said that they spend the most time communicating with friends. Option A is correct.
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You roll a 6-sided die.
What is P(factor of 8)?
Write your answer as a percentage.
Answer:
50% 1/2 3/6 0.5
Step-by-step explanation:
You can either get a 1, 2, 3, 4, 5, or a 6.
The factors of 8 include 1, 2, 4, 8.
There is only a matching 1, 2, and 4, but you cannot get any more factors. There are only 3 numbers out of a possible 6 number choices, so 3/6.
3/6 can be simplified to 1/2, and as a percentage, that is 50%.
a square has a perimeter of 52 mm. The square is dilated by a scale factor of 3. what is the side length of the resulting image?
Answer:
39
Step-by-step explanation:
Since a square has 4 equal sides, it's safe to do [tex]\frac{52}{4}[/tex] to get each side length (each side is 13 mm).
Dilating a side means you're multiplying it by the scale factor. This means that you're doing [tex]13*3[/tex] to each side (each side is 39 mm).
Make a dot plot for each set of data. Compare and contrast the shape, spread, and center of the data.
Set A = {4, 5, 6, 3, 3, 2, 4, 5, 8, 2, 5, 13}
Set B = {5, 6, 4, 2, 8, 4, 5, 6, 5, 2, 8, 3, 7, 3}
Set A has a peak at 5. It is also skewed to the right. The center is 5.
Set B also has a peak at 5. Is relatively symmetrical. The center is also 5.
(Sorry about those circle in the back of my picture)
What economic system is controlled by private owners with little government influence?
A) Capitalism
B) Chartered companies
C) Market economy
Answer:
Capitalism is a type of economic system in which trade and industry are driven by private owners and the individual rather than the government
Step-by-step explanation:
please mark me as brainlist please
Answer: C Market economy
Step-by-step explanation: Its this because i just finished this test and i like seeing if people had the same test as me so. You Welcome
There are 35 female performers in a dance recital. The ratio of men to women in the recital is 2 : 7 How many men are in the recital?
There are 32 female performers in a dance recital the ratio of men to women is 3/8 How many men are in the dance recital
But we have 32 female performers in the dance recital. Hence there are 3×4=12 men in the dance recital.
“Elijah and Jeffrey both collect baseball cards. Elijah has one-third as many baseball cards as Jeffrey. Jeffrey owns x cards.” Write an expression to represent the number of baseball cards Elijah owns.
Answer:
The Answer for this problem would be 2 -third :)
Step-by-step explanation:
It would be 2 third because Jeffrey has x more cards while they both have about the same amount of cards now in this problem we are looking for how many cards Elijah has right? Yes of course we are!!! Now we keep the 3rd cause in the problem it say says Elijah has one 3rd as MANY as Jeff :) Now our key word is as many so we multiply the first number into a two Yes we do!! now you get your answer i hope this helps so much with you guys understanding the simple math have a wonderful day i hope you understand!
The expression for the number of cards Elijah owns is (1/3)x.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of cards Jeffrey owns = x
Elijah has one-third as many baseball cards as Jeffrey.
This means,
Number of cards Elijah owns = (1/3)x
Thus,
The number of cards Elijah owns is (1/3)x.
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