1) The Pet Company has recently discovered a type of rock which, when crushed, is extremely absorbent. It is expected that the firm will experience (beginning now) an unusually high growth rate (20%) during the period (3 years) when it has exclusive rights to the property where this rock can be found. However, beginning with the fourth year the firm's competition will have access to the material, and from that time on the firm will assume a normal growth rate of 8% annually. During the rapid growth period, the firm's dividend payout ratio will be relatively low (20%), to conserve funds for reinvestment. However, the decrease in growth will be accompanied by an increase in dividend payout to 50%. Last year's earnings were $2.00 per share (E0) and the firm's cost of equity is 10%. What should be the current price of the common stock?
Answers
Answer:
$ 71.83
Step-by-step explanation:
This year's earnings=last year's earnings*(1+growth rate)=$2*(1+20%)=$2.4
This year's dividend=2.4 *payout ratio=2.4 *20%=$0.48
Next year's earnings=$2.4*1.2=$2.88
Next year's dividend=2.88 *0.2=$ 0.58
Year 3 earnings=$2.88*1.2=$ 3.46
Year three dividend= 3.46*0.2=$0.69
year 4 earnings =$3.46*1.08=$ 3.74
Dividend from year 4 onward= 3.74 *0.5=1.87
From year 4 terminal value=1.87 /(cost of equity-growth rate)=1.87/(10%-8%)=$93.5
Share price is present value of the above dividends amnd terminal value=0.48/(1+0.1)^0+0.58/(1+0.1)^1+0.69/(1+0.1)^2+93.5/(1+0.1)^3=$ 71.83
Related Questions
Find the sum of the first 8 terms of the fallowing sequence?
3,15,75,375 …
Answers
Answer:
\( \frac{3( {5}^{8} - 1) }{5 - 1} = 292968\)
what is the surface area of a sphere with a radius of 12 centimeters
A) 302cm^2
B) 452cm^2
C) 576cm^2
D) 1810cm^2
Answers
The surface area of the sphere is 1810 cm²
What is a sphere?A sphere is a three-dimensional object that is round in shape. Examples of object with spherical shape is a ball, an egg e.t.c.
The area occupied by a three-dimensional object by its outer surface is called the surface area.
The surface area of sphere is expressed as;
A = 4πr². where r is the radius.
A = 4 × 3.14 × 12²
A = 1809.7 cm²
approximately to the nearest whole number
A = 1810 cm²
Therefore the surface area of the sphere to the nearest whole number is 1810 cm².
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4. the cost of 5 CDs and a $12 DVD
Answers
Answer:
42
Step-by-step explanation:
Assuming CDS are half of DVDs, the answer would be 30 + 12
Q 36: The side of square ABCD measures n cm. We know that n is a natural number and that the area of quadrilateral AECF is 66 cm2. Of all the rectangles that have an area of 2n2, how many have a perimeter greater than 100 cm?
Answers
Answer:
Step-by-step explanation:
45 cm + 30 cm x 2 = AREA
Y=2X squared -12 X +20 for quadratic formula
Answers
x = (12 ± √(-16)) / 4,The solutions would be complex numbers.
What is the quadratic formula?To solve quadratic equations of the form ax2 + bx + c = 0, use the quadratic formula. For this situation, your condition is as of now as a quadratic condition, with a = 2, b = - 12, and c = 20.
The quadratic formula is:
x = (-b ± √\((b^2 - 4ac)\)) / 2a
Plugging in the values for a, b, and c, we get:
x = (-(-12) ± √\(((-12)^2 - 4(2)(20)))\) / 2(2)
Simplifying the expression inside the square root:
x = (12 ± √\((144 - 160)\)) / 4
x = (12 ± √(-16)) / 4
Since the square foundation of a negative number is definitely not a genuine number, this condition has no genuine arrangements. Complex numbers would provide the answers.
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Please help me find the answer
Answers
The name of this circle is Circle R.
The name of the radius is RB.
The name of the diameter is RI or RD.
What is a circle?In Mathematics, a circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Additionally, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).
What is a line segment?In Mathematics, a line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points. Additionally, a line segment typically has a fixed length.
In this context, we have the following names;
Circle R.
Radius = RB.
Diameter = RD or RI.
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What are the factors of 42 to find it’s prime numbers and how do I put it in a factor tree
Answers
Check the picture below.
HELP ME raaaaaaaa NOWWWWWWWWWW
Answers
Answer:
C: EAF Is the correct answer
(40 POINTS) A newly hired lawyer receives a $15,000 signing bonus from a law firm and invests the money in a savings account at 4.75% interest. After 42 months, the lawyer checks the account balance.
Part A: Calculate the interest earned, to the nearest dollar, if the interest is compounded quarterly. Show all work. (2 points)
Part B: Calculate the interest earned, to the nearest dollar, if the interest is compounded continuously. Show all work. (2 points)
Part C: Using the values from Part A and Part B, compare the interest earned for each account by finding the difference in the amount of interest earned. (1 point)
Answers
Answer:
after 42 months he has $2,696 in interest
compound quarterly is equivalent to annual rate of 4.835%
Part b
after 42 months he has $2,713 compound continuously
the diffrence is $17
15000 + 4.75% · 42 compound quarterly is $2,696
15000 + 4.75% · 42 compound continuously is $2,696
Answer:
Step-by-step explanation:
Stop posting FLVS questions on this website. It is illegal, and you can be expelled from the program. :)
Left on together, the cold and hot water faucets of a certain bathtub take 7 minutes to fill the tub. If it takes the hot water faucet 17 minutes to fill the tub byItself, how long will it take the cold water faucet to fill the tub on its own?Do not do any rounding.
Answers
Given that:
Time to fill the bathtub with both the cold and hot water faucets = 7 minutes
Time to fill the bathtub only with the hot water faucet = 17 minutes
Find the time to fill the bathtub only with the cold water faucet.
Let the cold water faucet will take x minutes to fill the tab. Then
\(\frac{1}{x}+\frac{1}{7}=\frac{1}{17}\)Solve for x.
\(\begin{gathered} \frac{1}{x}=\frac{1}{17}-\frac{1}{7} \\ =\frac{17-7}{119} \\ =\frac{10}{119} \\ x=\frac{119}{10} \\ =11.9\text{ minutes} \end{gathered}\)Cold water faucet will take 11.9 minutes to fill the tub.
What operation is involved in the expression 4y?
Answers
Answer:
I think you need to add a bit more information for me to be able to help :)
You can elaborate in the comments, I'd love to help :D
PLEASE ANSWER ASAP!!!
A right triangle always has obtuse exterior angles at two verticies, True or False?
Answers
Answer:
false
Step-by-step explanation:
One factor of the function f(x)=3^3-9x^2+20x-12 is (x-6). Describe how to find the x-intercept and the y-intercept of the graph of f(x) without using technology. Show your work and include all intercepts in your answer.
Answers
Given:
\(f(x)=x^3-9x^2+20x-12\)For y intercept the value of x=0
then :
\(\begin{gathered} f(x)=y \\ f(x)=x^3-9x^2+20x-12 \\ y=(0)^3-9(0)^2+20(0)-12 \\ y=-12 \\ y=-12 \end{gathered}\)so y -intercept is -12.
For x intercept the value of y is zero.
\(\begin{gathered} y=x^3-9x^2+20x-12 \\ y=0 \\ x^3-9x^2+20x-12=0 \end{gathered}\)If one factor is (x-6) then other factor is:
\(=\frac{x^3-9x^2+20x-12}{x-6}\)So all factor is:
\(\begin{gathered} (x-6)(x^2-3x+2)=0 \\ x=6 \\ x^2-3x+2=0 \end{gathered}\)one x intercept 6 and another intercept is:
\(\begin{gathered} x^2-3x+2=0 \\ x^2-2x-x+2=0 \\ x(x-2)-1(x-2)=0 \\ (x-2)(x-1)=0 \\ x=2 \\ x=1 \end{gathered}\)So x - intercept of graph is
1,2,6
A combination lock has 3 digits, each of which can be any number between 0 and 9. How many possible lock combinations are there?
Answers
Answer:
1000
10x10x10= 1000
........
Answer:
1000
Step-by-step explanation:
10 x 10 x 10 = 1000 (each number can be repeated on every digit)
50 Points!!!!!! Triangle ABC is given.
Angle A is labeled two x degrees. Angle B is labeled forty degrees. Angle C is labeled three x degrees.
What is the measure, in degrees, of ∠A?
Enter your answer in the box.
Answers
All 3 angles add up to 180 degrees.
so 40 + 2x + 3x = 180
40 + 5x = 180
5x = 140
x = 28
So angle A = 2x = 2(28) = 56 degrees.
Answer: 56°
Step-by-step explanation:
We know that a triangle's angles add up to 180 degrees. We will create an equation to help us solve for x using this information.
Given:
2x + 3x + 40 = 180
Combine like terms:
5x + 40 = 180
Subtract 40 from both sides of the equation:
5x = 140
Divide both sides of the equation by 5:
x = 28
Next, we will substitute this value of x into the expression for ∠A.
∠A = 2x = 2(28) = 56°
In a retail setting, payroll is often based on projected sales. If your payroll budget is 6% of projected sales of $3500.00 and your average employee earned $10.00 per hour, how many hours can you allocate for the day? *
35
58
21
Answers
The maximum number of hours that can be allocated in a day is 21
Data given;
Sale = $3500Employee pay = $10.00 per hourPercentage allocated to employee = 6% of salesPercentageThis is the process of finding a fraction of a value multiplied by 100.
Let's find the actual figure allocated to employee pay.
6% of $3500 is;
\(6/100 = x/ 3500\\x = 0.06*3500\\x = 210\)
The percentage out of sale allocated for employee pay is $210
Now we know the actual amount allocated to employee pay and it is $210.
Divide the amount allocated to employee pay by $10:00 to find the actual hours we can allocate in a day.
\(y = 210/10 = 21\)
The maximum number of hours we can allocate in a day is 21 hours.
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if two vertical angles are 2x-10 and x+20 find the value of x
Answers
Answer:
x=70
Step-by-step explanation:
when added together, verticle angles equal 180 degrees.
2x-10+x+20=180
3x-10+20=180
3x-30=180
3x=210
x=70
A survey was given to people who owned a certain type if car
Answers
Answer:
hi iu C hi TC x tex t TC TC TC TC TC u TC u TC x itu TC
If GMAT scores for applicants at Oxnard Graduate School of Business are N(500, 50), then the top 5 percent of the applicants would have a score of at least (choose the nearest integer):
Answers
Vertical angles are two angles that are ___ of each other when two intersect. These angles are
Answers
Answer:
The two angles that are directly across the intersection point from each other are called vertical angles. Vertical angles are always congruent.
Step-by-step explanation:
brainliest???
Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.
What are vertical angles?Vertical angles are angles opposite to each other where two lines cross.
When two lines intersect, they naturally form two pairs of vertical angles. Vertical angles share the same vertex or corner, and are opposite each other.
These pair of angles are congruent which means they have the same angle measure.
Hence, Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.
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simplify: 4(4y-7y²)-9(5y+²)
Answers
Answer:
4.6 rounded but Im probably wrong
Step-by-step explanation:
4(4y-7Y^2) -9(5y+^2)
(16y-28y^2) -45y^2
16y =. 73y^2
y = 4.5625
X-8>-3
A. x>-11
B. x>5
C. x<-11
D. x<5
Answers
Answer:
B. x > 5
Step-by-step explanation:
x - 8 > -3
Add 8 to both sides.
x > 5
So, the answer is B. x > 5
The answer is:
x > 5Work/explanation:
To solve this, add 8 on each side:
\(\sf{x-8 > -3}\)
\(\sf{x > -3+8}\)
\(\sf{x > 5}\)
Therefore, B is correct.
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find the domain and range of
f(x)√(5+2x)
Answers
Order the angles in each triangle from smallest to largest
Answers
Answer:
<E, <F, <G
Step-by-step explanation:
Please tell me fast on a time crunch
Answers
Answer:
x ≥ -6
Step-by-step explanation:
x - 4 ≤ 3x + 8
Add 4 to both sides.
x ≤ 3x + 12
Subtract 3x from both sides.
-2x ≤ 12
Divide both sides by -2. Remember to change the direction of the inequality sign since you are dividing by a negative number.
x ≥ -6
Answer:
\(x \geqslant - 6\)
Step-by-step explanation:
\(x - 4 \leqslant 3x + 8 = = > \\ - 12 \leqslant 2x = = = > \\ x \geqslant - 6\)
Help plssssss ASAP pls I’m not good at math
Answers
Answer:
I'd be happy to help! What's your problem though?
Step-by-step explanation:
A fraternity charge $2.00 admission for dudes and $1.00 admission for ladies. They made $45 and sold 35 tickets how many ladies attended the party
Answers
After solving the equations, we know that a total of 25 ladies attended the party.
What are equations?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.
As in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, and others.
So, take dudes as x and ladies as y.
Now, form the required 2 equations as follows:
2x + y = 45 ...(1)
x + y = 35 ...(2)
Work on equation (2):
x + y = 35
x = 35 - y
Now, substitute x = 35 - y in equation (1):
2x + y = 45
2(35-y) + y = 45
70 - 2y + y = 45
-y = -25
y = 25
Since ladies were charged $1 for each ticket, then 25 ladies attended the party.
Therefore, after solving the equations, we know that a total of 25 ladies attended the party.
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write an expression for ''the number of pieces
in three pack of mint gum.
Answers
Answer:
yellow blue green gray black white
what is 1.25 x 10^-1
Answers
Answer:
0.125 is the answer. When the exponent is negative move the decimal point to the left. Vice-versa for when it's a positive exponent.
Please help I am so lost thank you all
Answers
h = hours till they're 58 miles apart
Check the picture below.
so they're travelling in opposite directions, however the combined distances is 58 miles at say "h" hours, by the time that happend Hopi has been walking "h" hours and Brittany has also being walking "h" hours too.
Since the combined distance is 58 miles than if Hopi has covered "m" miles then Brittany covered the slack of "58 - m".
\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Hopi&m&15&h\\ Brittany&58-m&14&h \end{array}\hspace{5em} \begin{cases} m=(15)(h)\\\\ 58-m=(14)(h) \end{cases} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{substituting on the 2nd equation}}{58-(\stackrel{m}{15h})=14h}\implies 58=29h\implies \cfrac{58}{29}=h\implies \boxed{2=h}\)
