The context that represents linear growth is "A music service has a fixed monthly cost and charges $0.35 for each downloaded song".
What is linear Growth:A linear growth function has a constant slope, increases by a consistent amount over time, and is represented graphically as a line.
In other words, when a quantity rises in proportion to another factor or variable in a connection it is said to be a linear growth.
Let's check the given option to check whether it is linear growth or not.
1. A music service has a fixed monthly cost and charges $0.35 for each downloaded song.
Here there is a fixed cost and the cost will increase when the number of songs is increased
Let's say the constant charge is 'y' and the number of songs is 'x' then the equation that can represent the situation is
=> f(x) = y + x(0.35)
Here there is a constant increase in cost
∴ The given situation can represent Linear growth.
2. An elevator descends at a rate of 32 feet per second.
Here descends indicated the elevator decreases in speed of the elevator at a point the elevator speed will be zero
∴ It doesn't show the linear growth
3. OA town's population shrinks at a rate of 9.4% every year.
Here the town's population is shrinking means It doesn't show any growth
∴ It doesn't show the linear growth
4. The amount of certain medication in a person's bloodstream decreases by 1/4 every day.
Here, the person's bloodstream decreases by 1/4 every day.
∴ It doesn't show the linear growth
Therefore,
The context that represents linear growth is "A music service has a fixed monthly cost and charges $0.35 for each downloaded song".
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Please help!! Thank you!
Using angle relationships, the missing measures are:
m<3 = 138 degrees.
m<5 = 42 degrees.
m<8 = 138 degrees.
How to Find the Missing Angles?Using angle relationships, each of the measure of the angles can be calculated as follows:
Given that, m<1 = 138 degrees.
m<3 = m<1 [vertical angles are congruent]
Substitute:
m<3 = 138 degrees.
m<5 + m<3 = 180
Substitute:
m<5 + 138 = 180
m<5 = 180 - 138
m<5 = 42 degrees.
m<8 = m<3 [alternate interior angles are congruent]
m<8 = 138 degrees.
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You want to put a 6-inch thick layer of topsoil for a new 28 feet by 17 feet garden. The dirt store only sells topsoil by the cubic yard. How many cubic yards of topsoil will you need to order to fill this garden?
To fill a 6-inch thick layer of topsoil for a new 28 feet by 17 feet garden, you will need 79.33 cubic yards.
How is the volume determined?The volume is the product of the multiplication of the thickness, length, and width.
The thickness of the topsoil = 6 inches
12 Inches = 1 Feet
6 inches = 0.5 Feet (6/12)
The length of the garden = 28 feet
The width of the garden = 17 feet
The thickness of the soil = 0.5 feet
Volume of the topsoil = 28 x 17 x 0.5
= 238 ft³
3 Feet to 1 Yard
238 ft³ = 238/3 yards
= 79.33 cubic yards
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Plot and connect the points in the order listed below. When you are done, find the area of the resulting figure.
A(-5,4)A(−5,4), B(4,4)B(4,4), C(4,1)C(4,1), D(1,1)D(1,1), E(4,-3)E(4,−3), F(4,-6)F(4,−6), G(-5, -6)G(−5,−6)
The total area of the figure with points A(-5,4), B(4,4), C(4,1), D(1,1), E(4,-3) F(4,-6), G(-5, -6) is 51 square units.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Divide the figure is into two rectangles and a triangle.
The points B, C, E, and F form a rectangle with base BC and height 7 units.
The points A, D, and G form a rectangle with base AG and height 5 units. The points C, D, and E form a triangle with base CE and height 4 units.
The length of BC is 4 - 4 = 0, so the area of the rectangle with base BC is 0.
The area of the rectangle with base AG is (4 - (-5)) x 5 = 45 square units. The area of the triangle with base CE is (4 - 1) x 4 / 2 = 6 square units.
Therefore, the total area of the figure with points A(-5,4), B(4,4), C(4,1), D(1,1), E(4,-3) F(4,-6), G(-5, -6) is 45 + 6 = 51 square units.
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Find the value of x that will make L||m
Answer:
x=-13
Step-by-step explanation:
Since the two angles given are equivalent, you set up the equation as 7x+205=114.
7x+205=114
7x=114-205
7x=-91
7x/7=-91/7
x=-13
Hope this helps! Please give brainliest!
11. Mike plans to make contributions to his retirement account for 15 years. After the last contribution, he will start withdrawing $10,000 a quarter for 10 years. Assuming Mike's account earns 8% compounded quarterly, how large must his quarterly contributions be during the first 15 years, in order to accomplish his goal?
Answer:
To solve this problem, we need to use the formula for compound interest:
A = P * (1 + r/n)^(nt)
where:
A = future value of the account
P = present value (the contributions)
r = interest rate (as a decimal)
n = number of times the interest is compounded per year
t = number of years
First, we need to find the future value of the account (A) after 10 years of withdrawals at $10,000 per quarter. This means there will be 40 quarters in total ($10,000 * 40 = $400,000).
Next, we need to find the present value of the account (P) after 15 years of contributions.
Let's call the quarterly contributions "x".
We can set up the equation as follows:
$400,000 = x * (1 + 0.08/4)^(4 * 15) - $10,000 * (1 + 0.08/4)^(4 * 10)
We can now solve for x using a financial calculator or by using a programming language to perform the calculation. The result of this calculation is that Mike's quarterly contributions should be $2,597.29 in order to accomplish his goal.
G(x)=-4x^2+36/x+3
What key features does f(x), shown in the graph, share
with g(x), shown in the equation? Select three options.
at least one x-intercept
at least one y-intercept
Dan oblique asymptote
O a vertical asymptote
the domain of x
The function g ( x ) in the graph has one x-intercept , y intercept and an oblique asymptote , a vertical asymptote
What are Asymptotes?An asymptote is a line that a curve approaches but never touches. A line where the graph of a function converges is known as an asymptote. When graphing functions, asymptotes are typically not required
There are 3 types of asymptotes
Horizontal asymptote (HA) - It is a horizontal line and hence its equation is of the form y = k. Horizontal Asymptote is when the function f(x) is tending to zero
Vertical asymptote (VA) - It is a vertical line and hence its equation is of the form x = k. Vertical asymptotes are defined when the denominator of a rational function tends to zero
Slanting asymptote (Oblique asymptote) - It is a slanting line and hence its equation is of the form y = mx + b
Given data ,
Let the function be represented as g ( x )
Now , the value of g ( x ) is
g ( x ) = ( -4x² + 36 ) / ( x + 3 )
On simplifying , we get
g ( x ) = -4 ( x² - 9 ) / ( x + 3 )
On further simplification , we get
g ( x ) = -4 ( x + 3 ) ( x - 3 ) / ( x + 3 )
g ( x ) = -4 ( x - 3 )
g ( x ) = -4x + 12
Now , the function has a vertical asymptote at ( 0 , 12 )
The function has a horizontal asymptote at ( 3 , 0 )
Hence , the function is solved
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Answer:
at least one x-intercept
at least one y-intercept
domain of x
Step-by-step explanation:
took ed2023
Suppose you bought ares company 4 years ago at a price of $63.00 per share sold it at $71.50 per share. How much money die you make? $37750 $382.50 $387.50 $392.50
The amount you made per share is $8.50.
How to determine the amount you madeFrom the question, we have the following parameters that can be used in our computation:
Initial amount = $63.00
Final amount = $71.50
To calculate the profit made, we need to find the difference between the selling price and the buying price per share, and then multiply by the number of shares.
The difference in price per share is:
Difference = $71.50 - $63.00
Evaluate the difference
Difference = $8.50
Hence, the profit per share is $8.50.
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Solve the equation for the specified variable.
W = F(r + B), for r
The required equation in terms of r is r = (W - FB) / F
What is an equation?An equation is a mathematical statement given by connecting two expressions by equal sign.
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
For example: 3x=9y, 67x = 90+39y
Given that an equation W = F(r + B) we need to solve the equation for r,
Therefore, rearranging for r,
W = F(r + B)
Using the distributive law,
W = Fr+FB
Transposing FB to the LHS
Fr = W - FB
Diving the equation by F
r = (W - FB) / F
Hence, the equation in terms of r is r = (W - FB) / F
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Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 16. Complete parts (a) through (c) below.
a)The standard deviation is given by σ = sqrt(np(1-p)) = sqrt(24 × 0.75 × 0.25) = 2.12 . b)Significantly low: μ - 2σ = 18 - 2 × 2.12 ≈ 13.76 ,Significantly high: μ + 2σ = 18 + 2 × 2.12 ≈ 22.24 ,c)z = (x - μ) / σ = (3 - 18) / 2.12 ≈ -7.08.
How to calculate standard deviation?A group of 24 peas with green pods has a binomial distribution with n = 24 and p = 0.75. The mean is calculated as = np = 24 0.75 = 18, and the standard deviation is calculated as = sqrt(np(1-p)) = sqrt(24 0.75 0.25) = 2.12 (rounded to two decimal places).
b) The range rule of thumb states that results that deviate from the mean by more than two standard deviations are considered significantly low or significantly high. In this case, the values separating significantly low and significantly high results are:
Significantly reduced: - 2 = 18 - 2 2.12 13.76
Significantly greater: + 2 = 18 + 2 2.12 22.24
c) To see if a result of three peas with green pods is significantly low, we must calculate its z-score, which is given by:
z = (x - μ) / σ = (3 - 18) / 2.12 ≈ -7.08
Because the z-score is much lower than -2, the cutoff for significantly low results, we can conclude that a result of 3 peas with green pods is significantly low.
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Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.
y=x-2
y=x-1
The system of equations are parallel lines and they do not intersect. Thus, the system has no solution.
What are parallel lines?Parallel lines are any two or more lines that all lie in the same plane and never cross one another. They are equally spaced apart and have the same incline.
No matter how far we extend a parallel line, it will never meet another parallel line.
Given that,
y=x-2
y=x-1
For x = 1:
y = x - 2 = 1 -2 = -1
y = x - 1 = 1 - 1 = 0
For x = 2:
y = 2- 2 = 0
y = 2 -1 = 1
Plot the graph using the points.
The two lines have the same slope hence they are parallel lines.
Since, the two lines are parallel the system has no solutions.
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-3x⁴+5x³+0x²+2x-1÷2x²-x
The quotient is -3x²/2 + 7x/4 + 7/8 and the remainder is 23x/8 - 1. The solution has been obtained by using polynomial long division method.
What is polynomial long division?
A formula for multiplying one polynomial by another of the same degree or lower is known as a long division polynomial. Like with long division of numbers, the components of long division of polynomials include the divisor, quotient, dividend, and remainder.
We are given dividend as -3x⁴+5x³+0x²+2x-1 and divisor as 2x²-x.
Using Polynomial Long Division,
Dividing : -3x⁴+5x³+0x²+2x-1 ("Dividend")
By : 2x²-x ("Divisor")
Dividend -3x⁴ + 5x³ + 0x² + 2x - 1
- divisor * -3x²/2 -3x⁴ + 3x³/2
Remainder + 7x³/2 + 0x² + 2x - 1
- divisor * 7x/4 + 7x³/2 - 7x²/4
Remainder 7x²/4 + 2x - 1
- divisor * 7/8 7x²/4 - 7x/8
Remainder 23x/8 - 1
Quotient : -3x²/2 + 7x/4 + 7/8
Remainder: 23x/8 - 1
Hence, the solution has been obtained.
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Final question no more lives
who ever gives me correct answer will get brainliest
The time take to fill the pool will be 494 hours.
How to calculate the TimeInlet pipe fills in 38 hours = 1 pool
Inlet pipe fills in 1 hours = 1/38
Drain pipe empty in 39 hours = 1 pool
Drain pipe empty in 1 hour = 1/39
If both pipes are opened together then in pool fills in 1 hour = 1/38 - 1/39
= 1/1482
Therefore, 1/1482 fills in 1 hour.
. Therefore, 1/3 will be:
= 1/3 × 1482
= 494 hours.
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Angela fully charged her laptop, then unplugged it and tracked the battery level at certain times under constant use. The table below shows her findings. The equation for the line of best
fit is below. Use the equation to estimate the battery level after two hours of constant use unplugged. Round to the nearest percent. (2:00 is an x-value of 0)
The battery level after two hours of constant use unplugged is found replacing the instance of x on the line of best fit by 2.
How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.
The variables for this problem are given as follows:
Variable x: time in hours.Variable y: battery percentage.Hence after a time of two hours the battery level is found as the numeric value at x = 2.
Missing InformationThe problem is incomplete, hence the general procedure to solve the problem is presented.
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Someone help me with this Quadratic function graph function question
The graph of the quadratic function y = -6x² + 1 is given by the image presented at the end of the answer.
How to obtain the graph of the quadratic function?The parent quadratic function is given as follows:
y = x².
The transformed quadratic function is given as follows:
y = -6x² + 1.
The transformations are given as follows:
Multiplication by the negative number: reflected over the x-axis, changing the concavity of the quadratic function.Multiplication of x by the number with an absolute value of 6: horizontal compression by a factor of 6.Addition by 1: translation up one unit.More can be learned about quadratic functions at https://brainly.com/question/1214333
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As a fundraiser for her soccer team, Leslie must raise at least $120 by selling keychains and t-shirts. Each keychain costs $4 and each t-shirt costs $10. She must sell at least 18 items in total.
Choose the correct system of linear inequalities that represents Leslie’s situations.
X = keychains, y = t-shirts
Answer: The correct system of linear inequalities that represents Leslie's situation is:
4x + 10y ≥ 120 (to represent the requirement to raise at least $120)
x + y ≥ 18 (to represent the requirement to sell at least 18 items in total)
x ≥ 0, y ≥ 0 (to represent that Leslie must sell a non-negative number of keychains and t-shirts)
Where x represents the number of keychains sold and y represents the number of t-shirts sold. The first inequality represents the minimum amount of money Leslie needs to raise, and the second inequality represents the minimum number of items she needs to sell. The last two inequalities represent that Leslie can only sell a non-negative number of items.
Step-by-step explanation:
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 1 more than 4 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 111?
On solving the provided question, we can say that in the equation,Often, there is only one variable, which also serves as the symbol. An illustration would be , [tex]D = 4(82-D)+2[/tex]
What is equation?The equal sign (=), which denotes equality, is used to unite two statements in a mathematical equation. In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions.
For instance, the equal sign separates the variables 3x + 5 and 14 in the equation 3x + 5 = 14.The two sentences on either side of a letter are connected by a mathematical formula.
Each equation has a formula. Not every equation has a formula. Equations are created with the intention of being solved for a variable. If an equation meets the requirements for a function, it is a function. But not every equation is a function.
M+D = 82 marbles
[tex]M= 82- D[/tex]
[tex]D= 4M+2[/tex]
[tex]D= 4(82-D) +2[/tex]
[tex]D= 328 - 4D+2[/tex]
[tex]5D = 330[/tex]
[tex]D= 66[/tex]
Therefore, Don has 66 and Mark has 82-66 = 16
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Yoshi swam across a lake but did not know how far he swam. He found that it was 100sqrt(3) feet from point A to point C. Angle C was a right angle and angle A was 30°.
Find the distance he swam across the lake.
Hint: hypotenuse = 2shortleg )
The length of the lake is 100 ft
Finding the length of the lake:Form a right-angled triangle according to the given data in the problem. Chose which trigonometric ratio can be used to find the side that is considered as the side of the lake.
From the trigonometric ratio table,
Tan 30 = 1/√3Here we have
Yoshi swam across a lake but did not know how far he swam.
He found that it was 100√) feet from point A to point C.
Angle C was a right angle and angle A is 30°.
We represent the given scenario in the form of a right angle triangle as shown in the picture.
Let 'B' be the point where Yoshi swam started and BC be the length of the lake.
From the triangle,
Tan A = BC/AC
From the given data,
Tan 30° = BC/100√3
=> BC = Tan 30°(100√3)
=> BC = (1/√3)(100√3)
=> BC = 100 ft
Therefore,
The length of the lake is 100 ft
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Write a equation with the slope of 3 and goes through the point (2,5)
The equation of the line with slope 3 that goes through the point (2, 5) is y = 3x - 1.
What is the slope-point form of the line?
The point-slope form of the equation of a line is given by:
y - y1 = m(x - x1)
where m is the slope of the line, and (x1, y1) is a point on the line.
Using the given slope of 3 and the point (2, 5), we can substitute into the point-slope form to get:
y - 5 = 3(x - 2)
Expanding the right-hand side:
y - 5 = 3x - 6
Adding 5 to both sides:
y = 3x - 1
Hence, the equation of the line with slope 3 that goes through the point (2, 5) is y = 3x - 1.
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A boy contain 10 balls of which 6 are Red and the rest are White If a ball is pick at random find the probability of Either Red or White Not Red
Use the data in the table below, which shows the employment status of individuals in a particular town by age group.
Age
0-17
18-25
26-34
35-49
50 +
Full-time
21
267
492
535
520
Part-time
187
200
67
195
166
Unemployed
356
135
28
133
231
If a person is randomly chosen from the town's population, what is the probability that the person is under 18 or employed part-time?
X
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The probability that the person is under 18 or employed part-time is 179/864.
What is experimental probability?Experimental probability calculates the probability of some event from the results of experiments.
For an event E, we get the experimental probability of that event
[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]
where,[tex]P_e(E)[/tex] is denoting experimental probability of occurrence of E.
Given that;
The table of age, full time, part time, unemployed
Now,
Total number of people who are between the age group 35-49
= 581+179+104
= 864
Number of people who are employed part time= 179
Number of people employed part time in age group 35-49/ Total people in age group 35-49
= 179/864
Therefore, the probability will be 179/864.
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You are given the yearly interest earned from a total of $18,000 invested in two funds paying the given rates of simple interest. Write and solve a system of equations to find the amount invested at each rate. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.
Yearly Interest: $579
Rate 1: 2.75%
Rate 2: 4.75%
(dollars invested at 2.75%, dollars invested at 4.75%) =
The amount of investment at a rate of 2.75% and 4.75% will be $13,800 and $4,200m, respectively.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
The formula for interest is written as,
I = (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
Let 'x' be the amount of investment at a rate of 4.75%. Then the amount of investment at a rate of 2.75% is ($18,000 - x). Then the equation is given as,
(18,000 - x) × 0.0275 + 0.0475x = 579
495 - 0.0275x + 0.0475x = 579
0.02x = 84
x = $4,200
Then the value of ($18,000 - x) is given as,
$18,000 - x = $18,000 - $4,200
$18,000 - x = $13,800
The amount of investment at a rate of 2.75% and 4.75% will be $13,800 and $4,200m, respectively.
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Consider the graph of the function f(x)=log4(x-2)+2. What are the domain and the range of function f?
For the function f(x) = log4(x - 2) + 2, the domain is (2,∞) and range is (-∞,∞).
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
The logarithmic function f(x) = log4(x - 2) + 2 is defined only for x-2 > 0, or equivalently, x > 2.
So, the domain of the function is all real numbers greater than 2, or -
Domain: x > 2
Now let's consider the range of the function.
The logarithmic function takes positive values for positive inputs, and it approaches negative infinity as x approaches zero from the right.
Since f(x) = log4(x-2) + 2, the function takes values greater than 2 when x is greater than 4, and it approaches 2 as x approaches 2 from the right.
So, the range of the function is -
Range: -∞ > f(x) > ∞
Therefore, the function has range and domain as (-∞,∞) and (2,∞) respectively.
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The function f (x) = 125,000 (1.028)x models the change in population of Pool City, where x represents the number of years since 2010. Which statement is NOT true?
A.) The domain of the function includes all real values of x .
B.) The point (1, 128500) represents the population of Pool City in 2011.
C.) The population of Pool City in 2010 is 125,000.
D.) The function has an asymptote at y = 125,000 .
Statesvilles population in 2010 was about 24800 and was growing about 1.2% each year. If this continues, what will statesvilles population be in 2015?
yearly multiplication growth factor is (1+0.011) = 1.011. the year 2017, seven years after 2010, the population will be [tex]24800*2A1.011^7 = 26,774[/tex]
what is multiply ?
Along with addition, subtraction, and division, multiplication is one of the four arithmetic operations. Multiplication in math refers to regularly adding groups of the same size. The formula for multiplication is multiplicand multiplier Equals product. Specifically, multiplicand: First number (factor). divider: Second number (factor). After multiplying the multiplicand and the multiplier, the result is known as the product. Multiple additions are made while adding numerals. as in 5 times 4 Equals 5 + 5 + 5 + 5 = 20. I multiplied 5 by 4 times. Multiplication is frequently referred to as "doubling" because of this.
yearly multiplication growth factor is (1+0.011) = 1.011.
the year 2017, seven years after 2010, the population will be [tex]24800*2A1.011^7 = 26,774[/tex]
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solve the equations to find where they intersect
y = 6x - 8
y=-3x+10
Answer:
(2,4)
Step-by-step explanation:
Find the indicated outputs for f(x) = 4x - 5x. f(2)=
Answer:
[tex] \sf \: f(2) = - 2[/tex]
Step-by-step explanation:
Given function,
→ f(x) = 4x - 5x
Now we have to,
→ Find the required value of f(2).
Then the value of f(2) will be,
→ f(x) = 4x - 5x
→ f(2) = 4(2) - 5(2)
→ f(2) = 8 - 10
→ [ f(2) = -2 ]
Hence, the value of f(2) is -2.
Calculate the marked price on a bag of Cement selling 570 ksh after a discount of 5% is offered.
Answer:
541.5 ksh
Step-by-step explanation:
Consider a function f(x) = x ^2 . A second function h(x) is the result of reflecting f(x) across the x axis and translating it 3 units in the positive y-direction (upward). Write the equation of h(x).
Answer:
So the equation of the transformed function h(x) is h(x) = -x^2 + 3.
Step-by-step explanation:
Since h(x) is the result of reflecting f(x) across the x axis and translating it 3 units in the positive y-direction, we know that:
The x-coordinates of f(x) and h(x) are the same, so x is unchanged.
The y-coordinates of f(x) and h(x) are reflected across the x axis, so we need to negate the y-coordinate.
The y-coordinate of h(x) is shifted up by 3 units, so we need to add 3 to the y-coordinate.
Given the equation of f(x) = x^2, the equation of h(x) can be written as:
h(x) = -x^2 + 3
So the equation of the transformed function h(x) is h(x) = -x^2 + 3.
Your friend begins to divide the numerator and denominator
12
by 4 and then gets stuck. Explain why your friend gets stuck.
Answer:
maybe your friend gets stuck because youre not supposed to divide the denominator, only make a common one by multiplying one or both untill they are the same. Least common multiples
Dividends Per Share Sandpiper Company has 15,000 shares of cumulative preferred 2% stock, $50 par and 50,000 shares of $10 par common stock. The following amounts were distributed as dividends: 20Y1 20Y2 20Y3 Determine the dividends per share for preferred and common stock for each year. Round all answer to two decimal places. If an answer is zero, enter '0'. 20Y1 2012 $30,000 6,000 45,000 20Y3 Preferred Stock (dividends per share) Common Stock (dividends per share) LA
Answer: To calculate the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.
20Y1:
Preferred Stock: $30,000 / 15,000 shares = $2.00 per share
Common Stock: $6,000 / 50,000 shares = $0.12 per share
20Y2:
Preferred Stock: $30,000 / 15,000 shares = $2.00 per share (cumulative preferred stock means that if the company misses a dividend, they still have to pay it in the future, so the dividends per share remain the same)
Common Stock: $45,000 / 50,000 shares = $0.90 per share
20Y3:
Preferred Stock: $30,000 / 15,000 shares = $2.00 per share
Common Stock: $0 (there is no information about dividends for the common stock in 20Y3)
So, the dividends per share for each year would be:
20Y1:
Preferred Stock: $2.00 per share
Common Stock: $0.12 per share
20Y2:
Preferred Stock: $2.00 per share
Common Stock: $0.90 per share
20Y3:
Preferred Stock: $2.00 per share
Common Stock: $0.00 per share
Step-by-step explanation:
