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
Learn more about cost of equity on:
https://brainly.com/question/14041475
What percent is equivalent to 24\50? 24% 48% 50% 52%
Answer:
48%
Step-by-step explanation:
If you convert 24/50 to a percentage the answer is 48%
[tex] \frac{24}{50} [/tex]
to find:the equivalent percent.
solution:[tex] \frac{24}{50} [/tex]
[tex] = 0.48[/tex]
[tex]0.48 \times 100\%[/tex]
[tex] = 48\%[/tex]
therefore, the equivalent percent of 24/50 is 48%
Is this correct?!? Please tell me
Step-by-step explanation:
It is a 5th degree binomial. The highest exponetial power of the polynomial is 5, therefore we are dealing with a 5th degree polynomial. "Polynomial" is a general term. Trinomial and binomial categorize it even more by the number of terms the polynomial has. There are two terms, so we are dealing with a binomial. The prefix bi means "two"
Answer:
Binomial with degree 5
Step-by-step explanation:
The polynomial 3x⁵ + 3 is a binomial with degree 5.
Why?
This option is correct because:
3x⁵ + 3 has two terms & hence is a binomial.Also, the highest exponential power in this polynomial is 5 & hence it's degree is also 5.[tex]\rule{150pt}{2pt}[/tex]
An antibiotic kills 60% of bacteria in a sample of 100,000 each day. The equation P2 - 100,000(0.4) represents the
population, Pı, after d days. Four days after introducing the antibiotic to the first sample, a scientist introduces the same
antibiotic to a second population, P2. The number of bacteria after d days in the second population is represented by the
equation P2 = 100,000(04) 0-4. Which equation is equivalent to pz?
а
O P2 - 2,560(0.4)
O P2 - 99,744(0.4)
O 02 - 100,256(0.4)
O P2 - 3,906,250(0.4)
The expression P2 = 100000(0.4)^(d - 4) is an illustration of an exponential expression
The equivalent expression of P2 = 100000(0.4)^(d - 4) is P2 = 3906250(0.4)^d
How to determine the equivalent equation?The equation is given as:
P2 = 100000(0.4)^(d - 4)
Apply the law on indices on the expression.
P2 = 100000(0.4)^d * 1/0.4^4
Rewrite as:
P2 = 1/0.4^4 * 100000(0.4)^d
Evaluate the exponent
P2 = 39.0625 * 100000(0.4)^d
Evaluate the product
P2 = 3906250(0.4)^d
Hence, the equivalent expression of P2 = 100000(0.4)^(d - 4) is P2 = 3906250(0.4)^d
Read more about equivalent expressions at:
https://brainly.com/question/2972832
Answer:
D
Step-by-step explanation:
UNIT 5: CEREAL BOX PROJECT / PORTFOLIO
The volume of the cuboid of the box is 180 inches³ while the volume of the cylinder is 235.5 inches³.
How to calculate the volume?The volume of the cuboid will be:
= Length × Width × Height
= 12 × 2 × 7.5
= 180 inches³
The volume of the cylinder will be:
= πr²h
= 3.14 × 2.5² × 12
= 235.5 inches³
The surface area of the cuboid will be:
= 2(12 × 2) + 2(12 × 7.5) + 2(7.5 × 2)
= 48 + 180 + 30
= 258 inches²
The surface area of the cylinder will be:
= 2πrh + 2πr²
= (2 × 3.14 × 2.5 × 12) + (2 × 3.14 × 2.5²)
= 188.4 + 39.25
= 227.65 inches²
Learn more about volume on:
https://brainly.com/question/1972490
Find the exact area of the shaded region.
Answer:
33
Step-by-step explanation:
area of large triangle = 117
117-(30)-(12*5/2)-(8*6/2)
= 33
The exact area of the shaded region is 33 units²
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure.
Given is a figure, we need to find the area of the shaded region.
For finding the same, we will first find the area of the big triangle and then find the areas of the small parts in it having shape, triangle and a rectangle,
The area of the big triangle = 1/2 x 18 x 13 = 117 units²
The area of the two small triangles =
1/2 x 6 x 8 = 24 units²
and
1/2 x 12 x 5 = 30 units²
Now, the area of the square = 5 x 6 = 30 units²
The area of the shaded region = 117-(24+30+30) = 33 units²
Hence, the exact area of the shaded region is 33 units²
Learn more about areas, click;
https://brainly.com/question/27683633
#SPJ7
A weather reporter in your area said that the speed of sound in air today is about
1,100 feet per second.
What is that speed in scientific notation?
Step-by-step explanation:
The base form (or root) of a verb is the form listed in the dictionary. It is the version of the verb without any endings (endings such as -s, -ing, and ed). The base form is the same as the infinitive (e.g., to walk, to paint, to think) but without the to.
i cant figure this problem can you guys help/
Answer:
r = 6.998 in
D = 13.996 in
C = 43.9697 in
Step-by-step explanation:
Area = π[tex]r^2[/tex]
153.86 = π[tex]r^2[/tex]
153.86/π = [tex]r^2[/tex]
sq root(153.86/π) = r ≈ 6.998 in
Diameter = 2r
D = 2(6.998) = 13.996 in
Circumference = 2πr
C = 2π(6.998)
C = 13.996π ≈ 43.9697 in
Hope this helps!
Which algebraic expression is equivalent to this expression?
9(3x - 12) + 9x
A.
36x - 12
B.
18x + 108
C.
36x - 108
D.
18x - 108
Use the Distributive Property, which states the following:-
[tex]\bigstar{\bf{a(b+c)=ab+ac}[/tex]
where
we distribute a by multiplying it times b and c
In this case, we should distribute 9:-
9(3x-12)+9x
27x-108+9x
Combine Like Terms:-
[tex]\longrightarrow\sf{36x-108}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Answer:
C. 36x + 108
Step-by-step explanation:
Our expression :
9(3x - 12) + 9xExpanding :
#1) Open the bracket applying the distributive property.
9(3x - 12) + 9x9(3x) - 9(12) + 9x27x - 108 + 9x#2) Combine like terms.
27x + 9x - 10836x + 108The option with this answer is C.I would be very grateful if you help me
I think
1.3
2.15cm²
3.5
Sorry!!I don't have time ok
I'll explain later but i wrote the answer 1-3 ok
What is the answer to this?
Answer:
-8
Step-by-step explanation:
[tex]\ \ \ \ \ \ \dfrac{-9 -7}{2} \\\\\\= \ \ \ \dfrac{-16}{2} \\\\\\= \ \ \dfrac{-(2^{4} )}{2^{1} } \\\\\\= \ \ -(2^{4 - 1}) \\\\\\ = \ \ -(2^{3})\\\\\\= \ \ - (2 \times 2 \times 2) \\\\\\= \ \boxed{-8}[/tex]
Answer:
-8
Step-by-step explanation:
The surface area and volume of a sphere are in the ratio of 3:7cm.What is the circumference of its great circle and volume
Answer:
Radius of sphere =1unit
SurfaceareaVolume=4πr234πr3=34π(1)3×4π(1)21=31
∴V:S=1:3 cm
Step-by-step explanation:
Hope this helps. If any questions, please ask in comments.
please help!!!!!!!!!! hurrrrrryyyyyyy!!!!!!!!!!!
Answer:
∠ ABC = 60°
Step-by-step explanation:
the measure of an inscribed angle is hal the measure of its intercepted arc.
∠ ABC = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 120° = 60°
Answer:
Step-by-step explanation:
The measure of the inscribed angle is half the measure of intercepted angle.
∠ABC [tex]= \dfrac{1}{2} * 120\\[/tex]
= 60°
30jk in expanded form ????
Answer:
Step-by-step explanation:
The expanded form of 30 is 30+ 0. 2. How can write a 30 number in expanded fraction form? In the expanded fraction form, you can write 30 as (3 x 10) + (0 x 1).
The solid below is made from cubes.
Find its volume.
Answer:
36 yd^3
Step-by-step explanation:
6*2*3
why 2 is not a solution of x>5
Answer: That's because you have a greater than sign. And if you think about it 2 isn't greater than 5.
In contrast, if you'd had 2<5 (two is less than five) then you would be correct.
I hope this helps!
A cone with a height of 4 in, and a diameter of 6 in. Find the surface area and Volume
if its diameter is 6, then its radius is half that or 3.
[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h }{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=4 \end{cases}\implies V=\cfrac{\pi (3)^2(4)}{3}\implies V=12\pi \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cone}\\\\ SA=\pi r\sqrt{r^2+h^2}+\pi r^2\qquad \implies \qquad SA=\pi (3)\sqrt{3^2+4^2}+\pi (3)^2 \\\\\\ 3\pi \sqrt{25}+9\pi \implies 3\pi (5)+9\pi \implies 15\pi +9\pi \implies 24\pi[/tex]
What was the upper quartile of the number of newspaper deliveries?
Answer:
45
Step-by-step explanation:
It's 45 because the other ones are different those are miden Range mode and q1 and q3 so q1 is to the left
Answer:
67.5 is the upper quartile
Find the y-intercept and the slope of the line.
Y=-4x-3
Slope:-
-4
y-intercept:-
(0,-3)
Solution:-The equation of this line is written in Slope-Intercept Form, which looks like so:-y=mx+bIn this formula, m stands for the slope of the line, and b stands for the y-intercept.Please remember that the slope is the line's rise (the amount of units we move up, or "rise" divided by its run (the amount of units we move left or right, and the y-intercept is the point where the line intersects the y-axis. (0, b)Also, please notice that m is the coefficient of x, and b is the constant.Therefore, the slope of the line is equivalent to -4, and the y-intercept is (0, -3).Hope it helps.
Do comment if you have any query.
Answer:
Slope: 4; y-intercept: -3
Explanation:
To find the slope of the line, we will look at the number in front of x.
That number is -4. Hence, the slope is -4
Now, the y-intercept is the constant.
The constant is -3.
Hence, the y-intercept is -3.
In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 500 grams and mass was decreasing by 8% per day. Determine the mass of the radioactive sample at the beginning of the 13th day of the experiment. Round to the nearest tenth (if necessary).
Using an exponential function, it is found that the mass of the radioactive sample at the beginning of the 13th day of the experiment was of 169.1 mg.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.At the beginning of the first day of the experiment the mass of the substance was 500 grams and mass was decreasing by 8% per day, hence A(0) = 500, r = 0.08, and the equation is given by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = 500(1 - 0.08)^t[/tex]
[tex]A(t) = 500(0.92)^t[/tex]
At the 13th day, the mass is given by:
[tex]A(13) = 500(0.92)^{13} = 169.1[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
what is the opposite of -3.4
Answer:
3.4
Step-by-step explanation:
The opposite of a number is the same as the additive inverse of the number.
Two numbers are opposites, or additive inverses, if they add to zero.
For a positive or a negative number, just change its sign to find its opposite. For zero, its additive inverse is zero.
The opposite of -3.4 is 3.4.
Answer: 3.4
The opposite of a positive number is a negative number.
The opposite of a negative number is a positive number.
-3.4 is a negative number, so its opposite is a positive number.
Hence, the answer is 3.4
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Can you help me with this problem it is greatly appreciated
Answer:
Mikiala, just remember π is just a number. sooo
Step-by-step explanation:
we need a formula for area of a cone which is (1/3) * π * r² * h
A = area , then
A= (1/3) * π * r² * h
now just solve with the known info
A = 1/3 * π* [tex]6^{2}[/tex] *16
A= 192π
Answer:
603.2
Step-by-step explanation:
Formula for volume of cone: [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]x^{2}[/tex]h
Can someone help me understand how to solve 4 please. Would really appreciate it.
The length of RT from the figure is 8 units
Pythagoras theorem applicationIn order to find the measure of RT, we will use the pythagoras theorem. According to the theorem;
hypotenuse² = adjacent² + opposite²
From the given figure;
ST = hyp = 10
RS = adj = 6
Find RT
RT = √10² - 6²
RT = √100 - 36
RT = √64
RT = 8 units
Hence the length of RT from the figure is 8 units
Learn more on pythagoras theorem here: https://brainly.com/question/343682
CHOOSING BRAINLIEST
A counselor determined that 60% of the senior class had taken a precalculus course and that 15% of the senior class had taken both a precalculus course and a statistics course?
What percentage of seniors who took a precalculus course also took a statistics course?
Using conditional probability, it is found that 25% of seniors who took a precalculus course also took a statistics course.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.In this problem, the events are:
Event A: Senior student took a precalculus course.Event B: Senior student took a statistics course.The probabilities given are [tex]P(A) = 0.6, P(A \cap B) = 0.15[/tex].
The desired probability is P(B|A), hence:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.6} = 0.25[/tex]
0.25 = 25% of seniors who took a precalculus course also took a statistics course.
More can be learned about conditional probability at https://brainly.com/question/14398287
help help help help help help
Answer:
greater than 90 but less than 180
Step-by-step explanation: the angle on 2 is a obtuse
hope this helps :)
Answer:
154°
Step-by-step explanation:
Angles formed from opposite rays and sharing a vertex are called "vertical angles." Vertical angles are congruent.
Angle 2 and the one marked 154° are vertical angles, so they have the same measure.
Angle 2 is 154°.
_____
Additional comment
For this question, line WZ and angles 4 to 7 are irrelevant.
which month has 31 days?
A- October
B- June
C-September
Answer:
October
Step-by-step explanation:
because June and September have 30
days
Answer:
A - October
Step-by-step explanation:
October has 31 daysJune has 30 daysSeptember has 30 days⇒ October is the month which has 31 days
Mr. Red's first year salary is $30,000 and it increases by $500 each year. What is the explicit rule for this sequence in simplified form?
Question 1 options:
an=29,500(n)+500
an=500(n)+29,999
an=500(n)+29,500
an=500(n)+30,000
Mr. Red's salary is an illustration of an arithmetic sequence
The explicit rule of Mr. Red's salary is an = 500n + 29500
How to determine the explicit formula?Mr. Red's salary is an arithmetic sequence with the following parameters:
First term, a1 = 30000
Common difference, d = 500
The explicit rule is calculated as:
an = a1 + (n - 1) * d
This gives
an = 30000 + (n - 1) * 500
Evaluate the product
an = 30000 - 500 + 500n
This gives
an = 29500 + 500n
Rewrite as:
an = 500n + 29500
Hence, the explicit rule of Mr. Red's salary is an = 500n + 29500
Read more about arithmetic sequence at:
https://brainly.com/question/6561461
PLEASE ANSWER ASAP!! I'll mark brainliest!!
Jaclyn estimates the square root of 32 in the following way:
√32 = 2√16 = 2 ∗ 4 = 8
(a) Explain why her reasoning is incorrect.
(b) Rewrite the problem and solve it correctly. Clearly show your work.
a) she put the numbers in the wrong place, V2 ≠2
b) V32= 4V2
shari is stringing round beads on a string. Each bead has a radius of 1.64 cm she strings 12 of the beads what is the length of the strung beads?
Answer:
39.36cm
Step-by-step explanation:
Since each bead has a radius of 1.64cm and there are 12 beads, all we have to do is multiply amount of beads by their length. Since it is the radius, we have to multiply the length by 2.
So [tex]3.28[/tex] × [tex]12 = 39.36[/tex]cm.
Write the equation in point-slope form. (4,-2) ; m=1/2
[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-2)~~ \text{and slope,}~ m =\dfrac 12\\\\\text{Point - slope form,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -(-2) = \dfrac 12(x-4)\\\\\implies y+2=\dfrac 12(x-4)[/tex]
(4,-2) are points [tex](x_1, y_1)[/tex] respectively and [tex]\frac{1}{2}[/tex] is the slope
Point-slope:
[tex]y-y_1 = m(x-x_1)[/tex]
Now you have to replace the variables with numbers
[tex]y+2 = \frac{1}{2}(x-4)[/tex]
Thus your equation would be:
[tex]y+2 = \frac{1}{2}(x-4)[/tex]
Hope this helped!
6) A projectile's maximum height is shown by the vertex of
the parabola. When does the cannonball reach its maximum
height? Round to the nearest whole number and remember to
include units.
7) What is the maximum height of the cannonball? Round to the
nearest whole number and remember to include units.
8) How long does it take the cannonball to land on the ground?
Round your answer to the nearest whole number and remember
to include your units,
Answer:
See below.
Step-by-step explanation:
I have already answered #6 in a previous post. Kindly find the link to the solution below :
https://brainly.com/question/27363291Although towards the largest whole number, it will be 29 meters#7) Maximum Height
It is given that the path is a parabolaTherefore, the vertex will be the point at which height is maximumVertex = (2.5, 60.025)⇒ Y-value gives the height → 60.025 m⇒ 60 meters (nearest whole number)#8) Time taken to land on the ground
On checking the graph, look for the point at which it intersects the x-axis or when y = 0It is clearly 6⇒ t = 6 seconds