Answer:
If you change the order of the numbers when adding or multiplying, the result is the same. Use the commutative properties to rewrite the following expressions: Use the commutative property of addition to change the order. Use the commutative property of multiplication to change the order. Use the commutative properties to rewrite the following:
Step-by-step explanation:
can someone help me with this question? thank you!
Answer:
152 in. squared
Step-by-step explanation:
Surface area = L×W + L×W+ 1/2 ×h ×b+ 1/2 × b×h + L×W
= 7×6 + 6×5+ 1/2×4×8 +1/2×4×8 +6×8
= 42+ 30 +16 +16 +48
=152 in. squared
5x^2 + 70x + 245 = 0
Answer:
x=-7
Step-by-step explanation:
5(x+7)^2
Answer:
x=-7
Step-by-step explanation:
Step 1: Factor left side of equation.
5(x+7)(x+7)=0
Step 2: Set factors equal to 0.
x+7=0 or x+7=0
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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please please pleasee help me with this
Answer:
i think it's D mybe
Step-by-step explanation:
Determine the number of sides for the 6th shape in this pattern?
A)
ON
B)
7
C)
8
D)
9
Each successive shape in the sequence has one more side than the preceding shape. Therefore, the 6th shape in the sequence, an octagon, has 8 sides,beginning with a triangle which has 3 sides
The 6th shape in this pattern is an octagon, which has 8 sides. This pattern follows a sequence of shapes, beginning with a triangle which has 3 sides, followed by a square which has 4 sides, then a pentagon which has 5 sides, and so on. Each successive shape in the sequence has one more side than the preceding shape. Therefore, the 6th shape in the sequence, an octagon, has 8 sides.
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WILL GIVE BRAINLIEST! 25 POINTS!
Male and female high school students reported how many hours they worked each week in summer jobs. The data is represented in the following box plots:
Identify any values of data that might affect the statistical measures of spread and center.
The females worked less than the males, and the female median is close to Q1.
There is a high data value that causes the data set to be asymmetrical for the males.
There are significant outliers at the high ends of both the males and the females.
Both graphs have the required quartiles.
Answer:
Difference
Step-by-step explanation:
The Difference of boys and girls in the school coyld change the ratios
HELP!!!! I WILL GIVE 100 POINTS!
Answer:
x = 17y = 18Step-by-step explanation:
8x - 17 + 3x + 10 = 180 => 11x - 7 = 180=> 11x = 187=> x = 187/11=> x = 17=> 8(17) - 17 = 6y + 11=> 136 - 17 - 11 = 6y=> 108 = 6y=> y = 18Conclusion:
Therefore:
x = 17y = 18Hoped this helped.
\(GeniusUser\)
Write your answer below. Your
answer must be an integer or a fraction in
simplified form.
What values of a are the solutions of
3a + 11a = 20?
Answer:
7/10 or 0.7
Step-by-step explanation:
hope it helps
Solve the equation by completing the square.
0 = x²14x + 46
a x = 7 ± √3
b x = -7 ± √3
c 14 ± √3
d -14 ± √3
Answer:
\(0 = {x}^{2} + 14x + 46\)
\( \boxed{ {x}^{2} - 14x - 46 = 0}\)
\(x1.2 = \frac{ - b ± \sqrt{ {b}^{2} - 4ac } }{2a} \)
\(x1.2 = \frac{ - 14 ± \sqrt{ { - 14}^{2} - 4(1 \times 46) } }{2 (1)} \)
\(x1.2 = \frac{ - 14 ± \sqrt{196 - 184} }{2} \)
\(x1.2 = \frac{ - 14 ± \sqrt{12} }{2} \)
\(x1.2 = \frac{ \cancel{ - 14} ± \sqrt{12} }{ \cancel{2} } \)
\(x1.2 = - 7 ± \sqrt{12} \)
\(x1.2 = - 7 ± \sqrt{4 \times 3} \)
\( \boxed{ \bold{ - 7 ± 2 \sqrt{3}}} \)
Answer:
its a I hope it's helps you
I need somebodys help quickly please!
(look at the attachment it shows the math equation).
Answer:
First box is seven; second box is 16; third box is 14
Step-by-step explanation:
Since a square has all equal sides, we know that s+s+s+s or 4s=Perimeter.
SInce we are finding the area of a square, the equation would be s^2. 7 squared is 49, 16 squared is 256, and 14 squared is 196.
write down all the even number less than 100 that are prime numbers.
Answer:
2 is the only even prime number.
All the even numbers less than 100 that are prime numbers will be 2.
What is a prime number?A prime number is a positive integer having exactly two factors which are 1 and the number itself. Any number that does not follow this is termed a composite number.
If the number is divisible by 2 then the number will be an even number. Similarly, if the number is not divisible by 2 then the number will be an odd number.
The prime number from 0 to 100 is given below.
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
All the even numbers less than 100 that are prime numbers will be 2.
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can someone help me answer this
Rewrite the equation 2y−4x=10 in function notation where f(x)=y.
Answer:
f(x)=5+2x
Step-by-step explanation:
pleaseeee helppp meee!!!!
Please help me what is the area of the shaded region?
Each year, 24 million more than twice as many packages of plain bagels are sold as cinnamon raisin. There were 136 million packages of plain bagels sold last year. Create an equation that can be used to find the number of millions of packages of cinnamon raisin bagels, c, sold last year.
Answer:
24/136=?
Step-by-step explanation:
Cindy and Tim went to the state fair. They paid a $4.50 entry and $1.25 per ride ticket
Find the slope, y-intercept and write the equation for this Linear Relationship.
Answer:
2.50
Step-by-step explanation:
hey gm can i get some help plz on this
Answer:
21 songs are rap songs
Step-by-step explanation:
1/4=7 so 7+7=14+7=21+7=28=(7x4=28-7=21)
Answer:
21 songs
Step-by-step explanation:
Let's figure out how many are R&B songs first.
We know that 1/4 of the 28 total songs are R&B. Remember that in mathematics, "of" usually means to multiply, so we multiply 1/4 by 28:
1/4 * 28 = 7 songs
So, 7 songs are R&B. This means that since the rest are rap, we can subtract 7 from the total 28:
28 - 7 = 21 songs
Add. Write the sum in simplest form. 3/14+1/6
Answer:
8/21 ≈0.381
Explanation:
if you need the explanation message/comment under this answer for it :)
Which exponential equation is equivalent to the logarithmic equation below?log 784 = aA.10a = 784B.78410 = aC.784a = 10D.a10 = 784
Given the Logarithmic Expression:
\(log784=a\)You need to remember that, by definition, a Logarithmic Expression that has this form:
\(log_bm=n\)can be rewritten in this Exponential Form:
\(b^n=m\)In this case, you can identify that the logarithm has base 10.
Then, you know that:
\(\begin{gathered} b=10 \\ m=784 \\ n=a \end{gathered}\)Therefore, you can rewrite the expression in this form:
\(10^a=784\)Hence, the answer is: Option A.
$39 pizza order with a 15% tipIs my answer correct?
The total cost is the sum of the pizza and the tip. The value of the tip is 15% of the cost of the pizza. Percentage is expressed in terms of 100. The value would be
15/100 * 39 = 5.85
The total cost would be
39 + 5.85 = 44.85
Rounding to the nearest cent, it becomes $44.90
Answer:
44.90 gotta round the the nearest cent
Graph/Sketch the following functions:
1. y= -2x²+1
2. f(x)= x²+6x+14
The graphs of the two quadratic functions are in the images at the end.
How to sketch the functions?Let's take the first function.
y = -2x² + 1
This is a quadratic function.
To sketch this, we need to find some points on the curve and then connect thm with a parabola.
Let's find the points.
if x = 0
y = -2*0² + 1 = 1
if x = 1
y = -2*1² + 1 = -1
if x = -1
y = -2*(-1)² + 1 = -1
Then we have the 3 points (0, 1), (1, -1), and (-1, -1), now graph these 3 points (or more points, the more points you get the better the graph) on a coordinate axis and then draw a parabola that connects them.
The graph is on the image at the end.
2) Similarly for the second quadratic, just find some points and then connect them with a parabola, the graph is also below.
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HELP HELP HELP HELP HEPL HELP
Answer:
The answer would be Y= 1/4X -3
Step-by-step explanation:
Hope it was helpful .
Good luck ^.^
Company XYZ closed at $100.76 per share with a P/E ratio of 1525 Answer the following questions. a. How much were earnings per share? b. Does the stock seem overpriced , underpriced, or about right given that the historical P/E ratio is 12-14? a. How much were earnings per share? $ Round to the nearest cent as needed. b. Based on the fact that the Company XYZ stock historically trades at an average P/E ratio of 12-14, does the stock price seem overpriced, underpriced, or about right?
The earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).
a. The earnings per share for Company XYZ can be calculated by dividing the closing price by the P/E ratio. In this case, the closing price is $100.76 and the P/E ratio is 1525. Therefore, the earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).
b. Based on the historical P/E ratio range of 12-14, the stock price of Company XYZ seems overpriced. The P/E ratio indicates the price investors are willing to pay for each dollar of earnings generated by the company. A higher P/E ratio suggests that investors have higher expectations for future earnings growth. In this case, the P/E ratio of 1525 is significantly higher than the historical range of 12-14, indicating that the stock is being valued at a much higher premium relative to its earnings. This suggests that the stock price may be inflated and not in line with the company's historical valuation metrics, indicating an overpriced condition.
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help me please its hard and im like really not smart.
Answer:
B
Step-by-step explanation:
Answer:
B= <B
Step-by-step explanation:
The lines indicate the congruence, <G and <C both have the two lines
Marvin earns 7.25 dollars per hour in his summer job. He wants to buy a game system that cost 181.25
Answer: I answered the question how many hours he has to work. 25 hours.
Step-by-step explanation:
You divide 181.25/7.25 to get 25.
FILL IN THE BLANK. The part of the z-score denoting hundredths is found _____ of the table
The part of the z-score denoting hundredths is found in the interior of the table.
In a standard normal distribution table, also known as a z-table, the z-scores are presented with two parts: the tenths and the hundredths. The tenths are found in the row headings (or sometimes column headings) on the edges of the table, while the hundredths are located in the columns within the interior of the table.
To find a specific z-score in a z-table, first identify the tenths value in the row headings, and then locate the corresponding hundredths value in the columns of the same row. The intersection of the row and column will provide you with the desired probability associated with that particular z-score. The z-table helps in calculating the area under the curve in a standard normal distribution, which is essential for various statistical analyses and probability calculations.
Remember, the z-score is a measure of how far a data point is from the mean in terms of standard deviations. A positive z-score indicates that the data point is above the mean, while a negative z-score indicates that it is below the mean.
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Directions: Express the ratio in fraction form. Write your answer in your notebook.
1. Write 40 minutes as a fraction of 2 hours.
2. Write 8 months as a fraction of 1 year.
3. Forty-five (45) members of Sport club to 30 members of Dance Club.
4. Write 3 decades as a fraction of 20 years.
5. There are 10 buses at a station. If each bus has 6 wheels, what is the ratio of buses to
wheels?
6. Every quarter each student submits 2 projects in EPP. Give the ratio of projects to
quarters.
7. There are 3-star apple trees and 4 mango trees in Mang Ambo's orchard. What is the
ratio of mango to star apple trees?
8. In a t-shirt factory, each box contains 7 t-shirts. Give the ratio of boxes to t-shirts.
9. Neneng ate 3 apples and 10 bananas during her breaktime. What is the ratio of
bananas to apples?
10. Mrs. Selosa's class has 10 boys and 20 girls. What is the ratio of girls to boys in
fraction form?
To express the ratio of the given questions in the fraction form are as follow:
1. (2 / 3) hours
2. (2/3) year
3. 3/2
4. (3/2) of 20years
5. 1/6
6. 2/4
7. 4/3
8. 1/7
9. 10/3
10. 2/1
As given in the question,
Ratio of the given expression in fraction form is given by:
1. 40 minutes = (120 minutes/3)
= (2 / 3) hours
2. 8 months = (12months) ×( 2/3)
= (2/3) year
3. 45 members of sports to the 30 members of dance club
= 45/ 30
= 3/2
4. 3decades = (3 × 10)years
= (3/2) of 20years
5. Number of buses to the number of wheels
= 10 / ( 10×6)
= 1/6
6. Projects to quarters
= 2/4
7. Ratio of mango to the apple tree
= 4/3
8. Ratio of number of boxes to the t-shirts
= 1/7
9. ratio of banana to the apples
= 10/3
10. Ratio of girls to the boys
= 20/10
= 2/1
Therefore, the ratio of the given questions in the fraction form are as follow:
1. (2 / 3) hours
2. (2/3) year
3. 3/2
4. (3/2) of 20years
5. 1/6
6. 2/4
7. 4/3
8. 1/7
9. 10/3
10. 2/1
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Math Comprehension
Convert 77º F into kelvins.
Answer:
298.15 K
Step-by-step explanation:
The volume of a box is 5x^3 + 20x^2 + 15x cm^3. If the height of the box is 5x cm, find the width and length of the box.
Answer:
The product of the Width and Length is x^2 + 4x + 3 cm^2.
Step-by-step explanation:
The volume of a box = 5x^3 + 20x^2 + 15x cm^3.
Volume of a Box = W*L*H [Width(W), Length(L), and Height(H)]
W*L*(5x) = 5x^3 + 20x^2 + 15x cm^3
W*L = (5x^3 + 20x^2 + 15x cm^3)/5x cm
W*L = x^2 + 4x + 3 cm^2
We know the area of the base of the box (W*L). It is x^2 + 4x + 3 cm^2.
To find the actual width and length, we need to know one of the variables, L or W. Without that, all we can say is that their product (W*L) is x^2 + 4x + 3 cm^2.
answer the questions below about the following function
what is the domain of f(x)
what is the range of f(x)
what is the x-intercept of f(x)? enter your answer as an ordered pair. if no x-intercept exists, enter none
what it the equation of the vertical asymptote
Domain of the function is, (0, ∞).
Range of the function is, (-∞, ∞).
x - intercept of the function is, (1, 0).
Vertical asymptote of the function is, None.
What is domain and range?
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).
A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
First to find the domain of the function,
Since, all input values shown on the x-axis make up a graph's domain.
We can see that values of x values are from 0 to ∞.
Hence, the domain is (0, ∞).
Now to find the range.
Since, the y-axis on a graph represents the possible output values, or range.
The y - axis having the values from -∞ to ∞.
Hence, the range of the function is, (-∞, ∞).
x - intercept is the point where function crosses the x - axis.
Here function crosses x - axis at (1, 0).
Hence, the x - intercept is (1, 0).
A graph's vertical asymptote is the vertical line at x = a where the graph trends toward positive or negative infinity as the inputs go closer to a.
So, the vertical asymptote is x = 0.
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