Answer:
1. The cost of equity can be derived from the share price, which is the present value of the expected dividend one year from now(using the present value of growing perpetuity) as shown below:
share price=D1/(r-g)
share price=$500
D1=expected dividend one year from now=$4
r=cost of equity=unknown
g=constant growth rate=9%
$500=$4/(r-9%)
$500*(r-9%)=$4
r-9%=$4/$500
r=($4/$500)+9%
r=9.8
the Cost of Equity for the project is 9.8%
2. Compute the relevant cost of debt for this project is 5.53%
Market Value= 1,150
Face Value= 1,000
Term= 5 years, 10 semi-annual periods
Coupon Rate= 9%, 4.5% semi-annual rate
Tax Rate= 30%
N=10(semiannual coupons in 5 years)
PMT=45(semiannual coupon=face value*coupon rate/2=$1000*9%/2=$45)
PV=-1150(current market price)
FV=1000(face value of the bond is $1,000)
CPT(press compute)
I/Y=2.762766%(semiannual yield)
annual yield=2.762766%*2
annual yield=5.53%
3. The weighted average cost of capital is the sum of equity and the after-tax cost of debt multiplied by their respective market value weights
WACC=(cost of equity*weight of equity)+(after-tax cost of debt*weight of debt)
cost of equity=9.80%
the market value of equity raised=shares issued*market price of the share
the market value of equity raised=80,000*$500
the market value of equity raised=$40 million
weight of equity=market value of equity/total amount raised
weight of equity=$40 million/$100 million
weight of equity=40.00%
weight of debt=1-weight of equity
weight of debt=1-40.00%
weight of debt=60.00%
after-tax cost of debt=bond yield*(1-tax rate)
the after-tax cost of debt=5.53%*(1-30% )
the after-tax cost of debt=3.87%
WACC=(9.80%*40.00%)+(3.87%*60.00%)
WACC= 6.2426% or 6.24%
Therefore the WACC is 6.2426% or 6.24% rounded off to 2decimal place
4. Determine the initial cash flow for the project =$100 million
The initial cash outlay is the sum of the plant and machinery and net working capital investment required to commence the project
Plant and machinery= $80 million
Networking capital = $20 million
Total Initial Cash Flow= $100 million
5. Determine the earnings before taxes for years 1 through 5
Year
1 2 3 4 5
Revenue
120,000,000 120,000,000 120,000,000 120,000,000 120,000,000
Expenses
(80,000,000) (80,000,000) (80,000,000) (80,000,000) (80,000,000)
Depreciation (20,000,000) (15,000,000) (11,250,000) (8,437,500) (6,328,125)
EBT
20,000,000 25,000,000 28,750,000 31,562,500 33,671,875
Step-by-step explanation:
5. Depreciation schedule:
Year 1 = 80 × 25% = 20
Year 2 = (80-20) × 25% = 15
Year 3 = (80-20-15) × 25% = 11.25
Year 4 = (80-20-15-11.25) × 25% = 8.4375
Year 5 = (80-20-15-11.25-8.4375) × 25% = 6.328125
EBT = revenue - Expenses - depreciation
Year 1 = 120 - 80 - 20 = 20 Million
Year 2 = 120-80- 15 = 25 Million
Year 3 = 120-80- 11.25 = 28.75 Million
Year 4 = 120-80- 8.4375 = 31.5625 Million
Year 5 = 120-80- 6.328125 = 33.671875Million
The cost of equity of the project through the use of Gordan's formula will be 9.87%.
How to compute the cost of equity?It should be noted that the price of stock is computed thus:
= Previous dividend + Growth / Cost of equity - Growth
Po = Do + g/Ke - g
500 = 4 + 9%/Ke - 9%
500 = 4 + (0.09 × 4) / Ke - 9%
500 = 4.36/Ke - 9%
500(Ke - 9%) = 4.36
500Ke = 4.36 + 45
500Ke = 49.36
Ke = 49.36/500
Ke = 9.87%
The cost of debt will be:
= Interest rate (1 - Tax rate)
= 9% × (1 - 30%)
= 9% × 0.7
= 6.30%
The amount of the cost of debt will be:
= $1000 × 6.30%
= $63.00
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how do i find the vertex of y= -4x^2-16x+1 ?
Answer:
(-2, 17)
Step-by-step explanation:
the first step you can do to find the vertex is to find the axis of symmetry
the equation for that is -b/2a
-(16) / 2(-4)
-16 / 8 = -2
the axis of symmetry is x =-2 so you plug in -2 to the equation
-4(-2)^2 - 16(-2) + 1
-4(4) + 32 + 1
-16 + 33
17
the vertex is (-2, 17)
Please help me. I will make Brainliest
A triangular garden has it sides 45m,40m and 50m . Then, find the cost of fencing it's boundary at the rate of Rs.60 per meter.
we should find perimeter.
45+40+50=135m.
then, we should multiply 135 and rate of per meter.
135×60=8100Rs.
Unit 6: Radical Functions
Homework 3: Add/Subtract/Multiply Radicals
Show your work!
4. [tex]5\sqrt[3]{32x^3y^4}-3xy^3\sqrt{4y[/tex]
5. [tex]15\sqrt{2}*-2\sqrt{20}[/tex]
6. [tex]4^{3}\sqrt{-9}*7^3\sqrt{48}[/tex]
7. [tex]3\sqrt{18w^7}*10\sqrt{4w^9}[/tex]
Answer:
See below ↓↓↓↓
Step-by-step explanation:
4.
[5∛32x³y⁴] - [3xy³√4y][5*2*x*y ∛4y] - [3xy³*2 √y]10xy∛4y - 6xy³√y2xy [5∛4y - 3y²√y]5.
15√2 * -2√20-30√40-30*2√10-60√106.
4³√-9 * 7³√484³*3√-1 * 7³*4√3263424√-3263424i√3 [i is the complex number for √-1]7.
[tex]3\sqrt{18w^{7} } *10\sqrt{4w^{9} }[/tex]30√72w¹⁶30*6*w⁸√2180w⁸√2I need the answer to this please
Answer: the answer is D, if you just graph it in the Desmos graphing calculator you can solve it easily
Data can be classified as categorical or
numerical. Which question would be classified as
numerical?
A. Which grade are you in?
B. What is your zip code?
C. Who is your favorite artist?
D. How many texts did you send this week?
Answer:
D
Step-by-step explanation:
Please answer this with an explanation
Answer:
64 <==== I don't see the correct answer listed
Step-by-step explanation:
Max will occur in month x given by - b/2a = - 32/ (2 * -16) = 1
plug this 'x' month in to find the max value v
= 64
Write the equation of the line that passes through the points (2,-4) and (4,2) in slope-intercept form.
Answer:
Slope Intercept Form: y=3x-10
Step-by-step explanation:
First, we need to solve the slope.
The formula: y2-y1/x2-x1 = m
Coordinate Points:
(2, -4) ; (4,2)
Do 2 - (-4) for the y's and 4-2 for the x's
Formula: 2-(-4)/4-2
2 - (-4) is a positive answer since the negatives cancel to a positive.
That shall be 6.
4-2 = 2
Now we have 6/2 which means 6 divided by 2 which is 3.
Our slope is 3.
Slope-Intercept Formula: y=mx+b
Our "m" is 3
y = 3x + b
Our b which is the y-intercept is undefined.
We need to plug one of the coordinates into the formula to find it.
Plug (2,-4) into the formula.
-4 = 3(2) +b
Do 3 x 2 first
-4 = 6 + b
Now subtract 6 on both sides
-6-4 = b
Our y-intercept is -10 because negative subtracted by negatives is an addition number followed by the greater number's sign.
Formula: y=3x-10
Answer:
y = 3x - 10
Step-by-step explanation:
To determine the line that passes through the points (2, -4) and (4, 2), we need to determine the slope of the line. Then, using the slope of the line and any point, we can determine the equation of the line using point slope form.
How to determine the slope of the line?
The slope of the line can be determined by using the formula (y₂ - y₁)/(x₂ - x₁), where x₂ and y₂ are the coordinates of the second point; x₁ and y₁ are the coordinates of the first point.
Determining the slope of the line:[tex]\implies\large\text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
In this case, our first point and second point are (2, -4) and (4, 2) repectively as stated in the question. Therefore,
Point₁ = (x₁, y₁) = (2, -4) ⇒ x₁ = 2 y₁ = -4Point₂ = (x₂, y₂) = (4, 2) ⇒ x₂ = 4 y₂ = 2When we substitute the following into the formula, we obtain;
[tex]\implies\large\text{Slope} = \dfrac{2- (-4)}{4 - 2 }[/tex]
When we perform subtraction, we obtain;
[tex]\implies\large\text{Slope} = \dfrac{2- (-4)}{4 - 2 } = \dfrac{2 + 4}{2 } = \dfrac{6}{2}[/tex]
Which when simplified, we get;
[tex]\implies\large\text{Slope} = \dfrac{6}{2} = 3[/tex]
Determining the equation of the line:As said above, to determine the equation of the line with the slope and a point given, we can use point slope form. The chosen point must be on the line. The question states that "the line that passes through the points (2,-4) and (4, 2)". Therefore, we can tell that (2,-4) and (4, 2) are points that are on the line. Let's choose (4, 2) as our chosen point.
Chosen point: (4, 2)Now, let's substitute the slope of the line and the coordinates of the chosen point in the point slope form equation.
⇒ Point slope form: y - y₁ = m(x - x₁)⇒ Point slope form: y - 2 = 3(x - 4)Finally, let's simplify the point slope equation and convert it into slope intercept form (as stated in question).
⇒ Point slope form: y - 2 = 3x - 12The slope intercept form states that;
Slope intercept form: y = (m)x + (b)We can see that the "y" variable is isolated on one side of the equation [y = (m)x + (b), Slope intercept form equation]. Thus, we need to isolate the y-variable in y - 2 = 3x - 12 to obtain our equation in slope intercept form. This can be done by adding 2 to both sides of the equation.
⇒ y - 2 + 2 = 3x - 12 + 2⇒ y = 3x - 10Therefore, the equation in slope intercept form is y = 3x - 10.
50 POINTS FOR QUESTION 24 thank u!!
Answer:
Each instalment = £27.45
Step-by-step explanation:
Given:
Price of work trolley = £59.90Deposit = £5Remaining balance to be paid = Price of work trolley - deposit
= £59.90 - £5
= £54.90
If the remaining balance is to be paid in 2 instalments:
Cost of each instalment = remaining balance ÷ 2
= £54.90 ÷ 2
= £27.45
Members of a softball team raised $1319.25 to go to a tournament. They rented a bus for $776.50 and budgeted $41.75 per player for meals. Write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament.
Answer:
13 players
Step-by-step explanation:
Money Raised=RentedBus+Meals
1319.25=776.50+41.75p (p is for the number of players)(Now we solve for x)
Subtract 776.50 from both sides: 542.75=41.75x
Divide both sides by 41.75: 13=x
Remember that x is for the number of players so there'll be 13 players going to the tournament.
Tayshawn is going to spend 35% of his money on a gift for his mother. If the gift costs $42 how much money does Tayshawn have
6th grade
well, he has "x", which oddly enough is 100%, and we also know that 42 is 35% of that, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 42& 35 \end{array} \implies \cfrac{x}{42}=\cfrac{100}{35}\implies \cfrac{x}{42}=\cfrac{20}{7} \\\\\\ 7x=840\implies x=\cfrac{840}{7}\implies x=120[/tex]
someone help me please
Answer:
b
Step-by-step explanation:
the x has been cubed meaning
X * X *X = x^3
X^3 has been added to 5
C is saying they multiplied three to x therefore being
B
Alicia tiene un reloj que se retrasa 3 segundos cada día. ¿Cuántos minutos y segundos se retrasa en un mes?
¿Y en un año?
En un mes el reloj de Alicia se retrasa 1.5 minutos, por otra parte en un año su reloj se retrasa 18 minutos y 15 segundos.
¿Cuánto se retrasa el reloj en un mes?La mayoría de los meses tienen entre 30 y 31 días:
Mes de 30 días:
3 segundos x 30 = 90 segundos / 60 segundos = 1 minuto y 30 segundos3 segundos x 31= 91 segundos/ 60 segundos = 1 minuto y 31 segundosEn general se atrasa 1.5 minutos en un mes.
¿Cuánto se retrasa el reloj en un año?3 segundos x 365 días = 1095 segundos/ 60 segundos = 18 minutos y 15 segundos.Aprenda más sobre el reloj en: https://brainly.com/question/8776916
#SPJ1
PLEASE HELP !!!!!!??
Answer:
( 1, 35 )
Step-by-step explanation:
y=mx+c
c= y-intercept ( where the graph line crosses the cross line)
c=0
mx = gradient ( rise/run, up/across )
mx = 175/5 ( you could have picked any point in the graph )
mx = 35
the m is useless now so we discard it
y= 35x+0
if x = 1
then y = 35(1)+0
y= 35
at the coordinate x=1 y is 35
Which list shows the decimals ordered from least to greatest?
0.31, 0.68, 0.16
0.39, 0.49, 0.35
0.42, 0.47, 0.46
0.19, 0.23, 0.28
Answer:
0.19, 0.23, 0.28...............
How are area and volume similar? (will give brainliest for the right answer)
A both take up an amount of space
B both are 2-dimensional
C both have length, width, and height
D both are 3-dimensional
Answer:
the one where it say it takes height
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I got 100%
How do you find the volume of a cube?
Answer:
V = s³
Step-by-step explanation:
You multiply all sides together (L×W×H)
5 people are evenly sharing 12 kilograms of apples.
How many kilograms of apples should each person get?
Choose 1 answer:
A. 5/12 kilograms of apples
B. 2 10/5 kilograms of apples
C. 12/5 kilograms of apples
D. 1 2/5 kilograms of apples
Answer:
C. 12/5 kilograms of apples
Step-by-step explanation:
If 5ppl =12kg of apples
then 1 person= ?kg of apples
If more less divides and if less more divides
Therefore
1×12
5
= 12
5
Please someone help!!!!
Kristine observes the top of a lookout tower from a point 220 ft from its base.
If the indicated angle of elevation measures 37º, how tall is the tower? Give your answer to the nearest tenth of a foot.
Answer:
height of the tower: 165.8 ft
use tan rule:
[tex]\sf \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
Here: [ your calculator should be in degree mode [D] ]
x = 37°opposite = height of the toweradjacent = 220Solve:
[tex]\hookrightarrow \sf \sf tan(37)= \dfrac{t}{220}[/tex]
[tex]\hookrightarrow \sf t = \sf tan(37)*220[/tex]
[tex]\hookrightarrow \sf t = 165.8 \ ft[/tex]
Help please… thank you!
Answer:
B
Step-by-step explanation:
5 × pi ÷12 = 75 degrees
this is essentially cos75
= cos(30 + 45)
then we use the identities to solve.
the answer will = to 0.2588
How do you find the sector area of a circle?
Answer:
where's question.....
-2 1/5 (10x - 4.4) - 0.32
Which sequence of transformations shows that Figure A is similar to Figure B?
Rotate Figure A 180º about the origin, then dilate it with the center at the origin and a scale factor of 2.
Rotate Figure A 90º about the origin, then dilate it with the center at the origin and a scale factor of 2.
Reflect Figure A across the y-axis, then dilate it with the center at the origin and a scale factor of 12.
Dilate Figure A with the center at the origin and a scale factor of 2, then translate it to the left 4 units.
Answer:
That would be the second option: Rotate Figure A 90º about the origin, then dilate it with the center at the origin and a scale factor of 2.
-yOuR nEiGhbOrhOoD cLEaNeR ;)
What is the length of the hypotenuse in the right
triangle?
O 2,593 cm
O 60 cm
14,225 cm
O 65 cm
Answer:
sqrt(2593)
Step-by-step explanation:
17^2+48^2 = 2593^2
Please Help Me ASAP.
Answer:
x > -10
Step-by-step explanation:
5 - 3x > 35
-5 -5
-3x > 30
[tex]\frac{-3x > 30}{-3}[/tex]= x > -10
Given that you have a pentagon. What would be the measure of the sum of the exterior angles?
Answer:
360°
Step-by-step explanation:
the sum of the exterior angles of any polygon = 360°
Factored form;
f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3)
The expression f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3 is a polynomial function
The factored form of f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3) is f(x) = (x - 2)(x + 2)(x + 3)(x + 1)
How to determine the factored form?The expression is given as:
f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3)
Express as difference of two squares
f(x) = (x - 2)(x + 2)(x ^ 2 + 4x + 3)
Expand
f(x) = (x - 2)(x + 2)(x ^ 2 + x + 3x + 3)
Factorize the expression
f(x) = (x - 2)(x + 2)(x(x + 1) + 3(x + 1))
Factor out x + 1
f(x) = (x - 2)(x + 2)(x + 3)(x + 1)
Hence, the factored form of f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3) is f(x) = (x - 2)(x + 2)(x + 3)(x + 1)
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Complete the net worth statement by determining the total assets and total liabilities.What is the net worth? A 178,000 B 180,338 C 1,052,662 D 1,233,000
The total liabilities is $180,338
The total assets is $1,233,000
The net worth is $1,052,662
What is the net worth, assets and liabilities?Net worth is total assets less liabilities. Assets is the sum of liquid assets and non liquid assets. Liabilities is the sum of car loan and mortgage loan.
Assets = 178,000 + 1,055,000 = $1,233,000
Liabilities = 145,908 + 34,430 = $180,338
Net worth = $1,233,000 - $180,338 = $1,052,662
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Find measure of the angle UTW
Answer:
57°
Step-by-step explanation:
Using the Law of sines,
[tex]\frac{sin57}{WT} = \frac{sinx}{UT}[/tex]But, WT = UT [both are radii of the circle]⇒ sin 57° = sin x°⇒ x° = ∠UTW = 57°A triangle has angle measures of 41 cm, and 24 cm. Find the measurement of the missing angle in the triangle.
Answer:
115
Step-by-step explanation:
41+24=65.
180-65=115
