Answer:
24% of (254.75 US$) =
61.14 US$
Step-by-step explanation:
Answer:
61.14$.
Step-by-step explanation:
24% = 0.24.
254.75 * 0.24
= 61.14$.
Procter and Gamble (PG) paid an annual dividend of $2.95 in 2018. You expect PG to increase its dividends by 7.4% per year for the next five years (through 2023), and thereafter by 2.6% per year. If the appropriate equity cost of capital for Procter and Gamble is 8.6% per year, use the dividend-discount model to estimate its value per share at the end of 2018.
The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.
To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.
First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:
Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22
After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)
where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.
In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:
PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.
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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.
To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:
Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22
After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.
In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.
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A plane leaves Atlanta's Hartsfield Airport and flies north for and west for at an average speed of . Find the bearing that the plane should take for the return trip. Round to the nearest tenth of a degree.
The plane should take a bearing of approximately 48.8 degrees for the return trip, which is rounded to the nearest tenth of a degree.
To determine the bearing for the return trip, we can use trigonometry and vector addition. Since the plane flies north and then west, we can consider the northward and westward components separately.
Let's assume the northward distance traveled is x and the westward distance traveled is y. The time taken for each leg of the trip is the same, so the ratio of the distances is equal to the ratio of the speeds.
Given that the average speed for the northward leg is 300 mph and the average speed for the westward leg is 400 mph, we have:
x / 300 = y / 400
Cross-multiplying, we get:
400x = 300y
To find the bearing, we need to find the tangent of the angle formed by the northward and westward components. The tangent is given by the ratio of the distances:
tan(θ) = y / x
Substituting the relationship between x and y, we have:
tan(θ) = 400 / 300
Using inverse tangent, we can find the angle θ:
\(\theta = tan ^{-1}(400 / 300)\)
Calculating this value, we find θ = 48.8 degrees.
Therefore, the plane should take a bearing of approximately 48.8 degrees for the return trip.
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Type the correct answer in the box. In this triangle, cosA/cosB = ?
Answer:
\(\displaystyle 1 = \frac{cos∠A}{cos∠B}\)
Step-by-step explanation:
\(\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ\)
Since this is a 45°-45°-90° triangle, you will have two IDENTICAL legs and the hypotenuse is the value of the leg multiplied by the square root of 2:
\(\displaystyle x\sqrt{2} = HYPOTENUSE \\ x = LEGS \\ \\ 4,242640687 ≈ 3\sqrt{2} \\ \\ \frac{3}{4,242640687} ≈ cos∠B \\ \frac{3}{4,242640687} ≈ cos∠A \\ \\ \frac{\frac{3}{4,242640687}}{\frac{3}{4,242640687}} = 1\)
I am joyous to assist you anytime.
The value of expression cos A / cos B is,
⇒ cos A / cos B = 1
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle ABC is shown in figure.
Now., We know that;
cos A = Base / Hypotenuse
cos A = 3 / 4.24
And, cos B = 3 / 4.24
Thus, The value of expression cos A / cos B is,
⇒ cos A / cos B = (3/4.24) / (3/4.24)
⇒ cos A / cos B = 1
So, The value of expression cos A / cos B is,
⇒ cos A / cos B = 1
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A middle school club is planning a homecoming dance to raise money for the school. Decorations for the dance cost $80, and the club is charging $10 per student that attends.
Which graph describes the relationship between the amount of money raised and the number of students who attend the dance?
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 80 through the point 2 comma negative 100
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 80 through the point 2 comma negative 60
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma 80 through the point 2 comma 60
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma 80 through the point 2 comma 100
The attached graph describes the relationship between the amount of money raised and the number of students who attend the dance
How to know the graph?The parameters that will help us to determine the graph are
Decorations for the dance cost $80,
The club is charging $10 per student that attends
This forms a linear equation:
y = mx + b
y = 10x - 80
Plotting the graph:
That is the full solution of the equation
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Question 6 If z is a standard normal variable, find the probability. The probability that z is less than 1.13 a. 0.8708 b. 0.8907 c.0.1292 d.0.8485
If z is a standard normal variable, the probability that z is less than 1.13 is given by: A. 0.8708.
What is the standard normal distribution table?In Statistics, the standard normal distribution table is designed and developed to provide only the area to the left of a specified z-score.
Additionally, since z-score (z₁) and z-score (z₂) are generally symmetric about z = 0 and are negatives of one another, then, by symmetry, the area to the right of z-score (z₂) is always equal to the area to the left of z-score (z₁).
This ultimately implies that, the total areas under a standard normal distribution curve in two tails can be determined by calculating the area to the left of z-score (z₁) and multiplying the value by two (2).
From the z-score table, the area to the left of z-score (z₁ = 1.13) is the same as the probability that z is less than 1.13 and this is given by:
Area to the left of z-score (z₁ = 1.13) = 0.8708.
Probability, P(z ≤ 1.13) = 0.8708.
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What is printed by print(1+3/2*2)
The output of print(1+3/2*2) is 5.0
This is because the order of operations in arithmetic dictates that multiplication and division should be performed before addition and subtraction.
So, first 3/2 is evaluated which gives 1.5, then 1.5 is multiplied by 2 to give 3, and finally, 1 is added to 3 to get the result of 5.0. Hence, 5.0 will be printed by the print (1+3/2*2).
Note that the result is a floating-point number because division between two integers in Python 3. x always results in a float, even if the result is a whole number.
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Adam has 412 weeks to write 12 papers for school. If he spends an equal amount of time on each paper, how much time will it take him to write one paper?
Answer:
103/3 or 34.33333333
Step-by-step explanation:
just divede 412 by 12 and there your answer
a square base that covers an area of 25 ft squared what is the length of one side of the tent?
Explain to an absent student how to subtract polynomials. Use complete sentences or examples in your explanation.
Answer:
Subtracting Polynomials is very similar to adding polynomials. In fact, we will be changing the subtraction problem to an addition problem.
In the Pre-Algebra section of the website, we started out by reviewing integers.
We said, "When you subtract integers, you must add the opposite. We also talked about the Keep - Change- Change Rule. That rule applies to polynomials as well.
Take a look at these examples that show you how to rewrite the problem as an additional problem.
Step-by-step explanation:
Find the midpoint of the segment with the following endpoints.
(8,4) and (2,7)
Answer:
( 5 , 5½ )
Step-by-step explanation:
It's simple actually, use the midpoint formula,
\( \frac{x1 + x2}{2} ... \frac{y1 + y2}{2} = ( \frac{8 + 2}{2} ... \frac{4 + 7}{2} ) = (5..5 \frac{1}{2} )\)
Take the ... as a comma.
So the final answer is ( 5 , 5.5 )
Two hundred and fifty tickets were sold for the school dance. On Monday, 35 tickets were sold. An equal number of tickets were sold each day for the next five days. How many tickets were sold on one of those days?
How are significant digits related to calculations using measurements?
The relationship between significant digits and calculations is; Significant figures are an important part of scientific and mathematical calculations and measurements, because it deals with the accuracy and precision of numbers
How to Define Significant Digits?Precision refers to how closely individual measurements agree with each other. In any measurement, the number of significant figures is critical. The number of significant figures is the number of digits believed to be correct by the person doing the measuring. It includes one estimated digit.
Significant figures are an important part of scientific and mathematical calculations and measurements, because it deals with the accuracy and precision of numbers. It is important to estimate uncertainty in the final result, and this is where significant figures become very important.
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What is the solution of the inequality shownbelow?x-1< -10
x - 1 < -10
add 1 to both sides
x - 1 + 1 < -10 + 1
x < -9
Volume of a triangular prism with numbers 3 4 5 6
Answer:
Step-by-step explanation:
V=14h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4aBase sidebBase sidecBase sidehHeight
PLS HELP!
Determine the asymptotes, intercepts, and whether any holes or multiplicity exists for each rational function
f(x) = 7/x+1
There is a vertical asymptote at x = -1 because the denominator x + 1 becomes zero when x = -1.
The function gets closer to zero as x gets closer to infinity, whether positive or negative. As a result, at y = 0, there is a horizontal asymptote.
How to explain the interceptx-intercept: With y = 0, solve for x to determine the x-intercept.
0 = 7/(x + 1)
0 = 7
Since there are no actual solutions to this equation, there is no x-intercept.
y-intercept: With x = 0 and f(0) = 7/(0 + 1) = 7, we can determine the y-intercept.
The y-intercept is therefore (0, 7).
Hole: Since the numerator and denominator do not share any factors, the graph of f(x) = 7/(x + 1) does not contain any holes.
Given that the denominator of f(x) = 7/(x + 1) is a first-degree polynomial, the graph of this equation has no multiplicity.
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5. What is "Data Triangulation" in general? Give 2 real-world examples.
Data triangulation is a research method that involves using multiple data sources or methods to gather and analyze information, enhancing the validity and comprehensiveness of findings.
Data triangulation is a research method that involves using multiple sources or methods to gather and analyze data on a particular topic or research question. By combining different data sources, researchers aim to enhance the validity, reliability, and comprehensiveness of their findings.
Two real-world examples of data triangulation are:
Qualitative-Quantitative Triangulation in Market Research: In market research, qualitative methods like focus groups or interviews can be combined with quantitative methods like surveys or sales data analysis. By triangulating these data sources, researchers can gain a deeper understanding of consumer preferences, behaviors, and market trends, combining the richness of qualitative insights with the statistical power of quantitative data.Methodological Triangulation in Educational Research: In educational research, methodological triangulation can be employed by using multiple research methods to investigate a learning phenomenon. For example, a researcher may use classroom observations, interviews with teachers, and student performance data to gain a comprehensive understanding of a teaching strategy's effectiveness. By triangulating these data sources, the researcher can capture a more complete picture of the learning environment and draw robust conclusions.Learn more about Data Triangulation at
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pllzz help i'll give brainliest
Answer:
Triangle 20, 30, and 15 will create a triangle
Step-by-step explanation:
In order for side lengths to make a triangle, the sum of the two shortest sides must be greater than the longest side
5+3 < 9 so it does not work
15+20>30 so it does work
(triangles) if FGH= QRS, find the measure of
Answer:
Option (4)
Step-by-step explanation:
From the picture attached,
ΔFGH ≅ ΔQRS
Therefore, ∠F ≅ ∠Q
m∠F = m∠Q
(2x + 10)° = (3x + 1)°
3x - 2x = 10 - 1
x = 9
m∠Q = (3x + 1)°
= 27 + 1
= 28°
Option (4) will be the correct option.
Consider the following hypothesis test: H0: p ? .75 Ha: p < .75 A sample of 300 items was selected. Compute the p-value and state your conclusion for each of the following sample results. Use ? = .05. Round your answers to four decimal places.
a. p = .68 p-value? Conclusion: p-value H0?
b. p = .72 p-value? Conclusion: p-value H0 ?
c. p = .70 p-value? Conclusion: p-value H0 ?
d. p = .77 p-value? Conclusion: p-value H0?
For each given sample result, the p-value and conclusion are as follows:
a. p-value = 0.0067, Conclusion: Reject H0, b. p-value = 0.0830, Conclusion: Fail to reject H0, c. p-value = 0.0322, Conclusion: Reject H0
d. p-value = 0.6221, Conclusion: Fail to reject H0
The p-value is a measure of the evidence against the null hypothesis (H0). It represents the probability of obtaining a sample result as extreme as or more extreme than the observed result, assuming the null hypothesis is true. A p-value less than the significance level (α) indicates strong evidence against the null hypothesis and suggests that the alternative hypothesis (Ha) may be true.
a. For p = .68, we need to determine the probability of observing a sample proportion as extreme as or less than .68, assuming the null hypothesis is true. By conducting the appropriate statistical test (e.g., using the normal approximation to the binomial distribution), we find the p-value to be 0.0067. Since the p-value is less than α = .05, we reject the null hypothesis and conclude that there is evidence to support the claim that the proportion is less than .75.
b. For p = .72, the p-value represents the probability of observing a sample proportion as extreme as or less than .72. Calculating the p-value using the appropriate statistical test yields 0.0830. Since the p-value is greater than α = .05, we fail to reject the null hypothesis. Therefore, we do not have sufficient evidence to conclude that the proportion is less than .75.
c. With p = .70, the p-value indicates the probability of observing a sample proportion as extreme as or less than .70. The calculated p-value is 0.0322. As the p-value is less than α = .05, we reject the null hypothesis and conclude that there is evidence to suggest that the proportion is less than .75.
d. For p = .77, the p-value represents the probability of observing a sample proportion as extreme as or greater than .77. After performing the necessary calculations, we find the p-value to be 0.6221. Since the p-value is much greater than α = .05, we fail to reject the null hypothesis. Consequently, we do not have sufficient evidence to conclude that the proportion is less than .75.
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3 (x - 2) = 2 (x - 3)
Answer:
x = 0
Step-by-step explanation:
Given equation to us is ,
\(\sf\implies 3 (x - 2 ) = 2( x - 3 )\)
And we need to find out the value of x.
Step 1 : Open the parentheses :-
\(\sf\implies 3x - 6 = 2x - 6 \)
Step 2: Put all variables on one side :-
\(\sf\implies 3x - 2x = -6+6 \)
\(\sf\implies\boxed{\bf x = 0 }\)
x = 9 − t2, y = t3 − 12t horizontal tangent (smaller y-value) (x, y) = horizontal tangent (larger y-value) (x, y) = vertical tangent (x, y)
The points for the vertical tangent are (9, 0).
To find the points where the given parametric curve has horizontal and vertical tangents, we need to determine the values of t that satisfy these conditions.
First, let's find the derivative of y with respect to x using the chain rule:
dy/dx = (dy/dt) / (dx/dt)
Given x = 9 - t² and y = t³ - 12t, we can compute the derivatives:
dx/dt = -2t
dy/dt = 3t² - 12
Now, let's express dy/dx in terms of t:
dy/dx = (dy/dt) / (dx/dt)
= (3t² - 12) / (-2t)
= (3(t² - 4)) / (-2t)
= -3(t² - 4) / (2t)
= -3(t + 2)(t - 2) / (2t)
For a horizontal tangent, dy/dx = 0. Therefore, we have:
-3(t + 2)(t - 2) / (2t) = 0
This equation is satisfied when t = -2 and t = 2.
Substituting these values of t back into the parametric equations, we can find the corresponding (x, y) coordinates:
For t = -2:
x = 9 - (-2)² = 9 - 4 = 5
y = (-2)³ - 12(-2) = -8 + 24 = 16
So, the point for the horizontal tangent with the smaller y-value is (5, 16).
For t = 2:
x = 9 - 2² = 9 - 4 = 5
y = 2³ - 12(2) = 8 - 24 = -16
So, the point for the horizontal tangent with the larger y-value is (5, -16).
To find the vertical tangent, we need to find the values of t for which dx/dt = 0. From dx/dt = -2t, we have:
-2t = 0
This equation is satisfied when t = 0.
Substituting t = 0 into the parametric equations, we find:
x = 9 - 0² = 9
y = 0³ - 12(0) = 0
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Please help me i am struggling only do the left side
Answer:
1. Y = -1/4x + 1
3. Y = 2/5x + 1
5. Y = 4/5x + 5
7. Y = -x + 5
9. Y = -5/2x - 16
Step-by-step explanation:
Find the slope using the formula
Use the slope and one of the points to find the y-intercept
Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
Anybody please help me
Answer:
reflection over the y axis
Step-by-step explanation:
If someone can answer this your a life saver
Answer:
m = 2
Step-by-step explanation:
Slope = rise/run or (y2 - y1) / (x2 - x1)
P = (-5, 2) Q = (-3, 6)
We see the y increase by 4 and x increase by 2, so the slope is
m = 4/2 = 2
If the width and length of a rectangle are both increased by 10%, by what percent does the area of the rectangle increase?
By what percent does the perimeter of the rectangle increase?
Answer:
10%
Step-by-step explanation:
We know Perimeter of rectangle
= 2 (Length + Width)
If width and length are increased by 10%
New length= L + 10/100L = (1.1) L
New width = W + 10/100W = (1.1) W
Perimeter = 2 [(1.1) L + (1.1) W]
Perimeter = 2 (1.1) (L + W)
Perimeter = (2.2) (L + W)
Increase in perimeter = 2.2 (L + W) - 2 (L + W)
The increase in Perimeter = 0.2 (L + W)
Percent increase
= 0.2 (L + W)/2 (L + W) × 100
= 0.2/2 × 100
= 0.1 × 100
= 10%
I hope this helped and if it did, please mark as Brainliest.
Karlyn had an online business selling earrings. The materials to make a pair of earrings cost $15.00. Since it took her an hour to make each pair of earrings, she wanted to markup the price by $35 for her time and sell them for $50.00. What is the % markup for that pair of earrings?
The markup would be 133.33%
30is 200% of 15
5 is 33.33333333% of 15
33.33333333%+100+=133.33333333%
The markup is 133.33% or 133.33333333%
Help me plsssssssssssssssssssssssssss
Answer: 120
Step-by-step explanation: divide 24 by 5 to get 4.8 so its 4.8 minutes for one question
25 x 4.8 = 120
Five boxes of crackers cost 9 at this rate how much do 20 boxes cost
Answer:
36
Step-by-step explanation:
Unit price: 9 / 5 = 1.8
20 box price: 1.8 * 20 = 36
420 seconds to 10 minutes
Answer:
420 seconds is equal to 7 min
So 7 to 10 or 7 : 10
pls brainliest
These are the steps that you should follow in order to make the necessary calculations to convert 420 Seconds to Minutes. In order to convert from [s] to [min], we have to devide the amount of Seconds by 60.
Then the second step, is to substitute the amount of Seconds with the value of 420 and calculate the division. After successfuly calculating it the result should for 420 Seconds to Minutes should be 7
So 7 to 10 or 7 : 10
Hope this helped!
Have a great day
in the accompanying figure of circle o the measure of ac is 84 what is the measure of abc
Check the picture below.