Answer:Sure! Here are four daily life examples where 20 subtracted by 0 is equal to 20:
1. You have 20 pieces of fruit in a basket, and you take 0 pieces of fruit out of the basket. You are left with 20 pieces of fruit in the basket.
2. You have 20 minutes left on your parking meter, and you add 0 more minutes to the meter. You still have 20 minutes left on the meter.
3. You have 20 dollars in your wallet, and you spend 0 dollars. You still have 20 dollars in your wallet.
4. You have 20 pages left to read in a book, and you haven't read any additional pages. You still have 20 pages left to read.
A fitness center is interested in the average amount of time a client exercises in the center each week.
Match the vocabulary word with its corresponding example.
The average amount of exercise time for the 45 clients from the fitness center who
participated in the study
The average amount of time that all clients from the fitness center exercise
All 45 exercise times there were recorded from the participants in the study
All clients at the fitness center
The amount of time that any given client from the fitness center exercises
b The 45 clients from the fitness center who participated in the study
d
a
c
a. Data
b. Sample
c. Population
d. Variable
e. Statistic
f. Parameter
Textbook Pages
Study data: The 45 exercise sessions from study participants were all recorded.
What is meant by data of study?Study Data includes all information created, obtained, or acquired during the conduct of the Study, including Samples 1 through 3 including databases, documents, reports, and other material.
Any information that has been gathered, noticed, produced, or made specifically to support initial study conclusions is referred to as research data. Research data can also be found in non-digital media like diary and lab notebooks, despite being mostly digital.
A. Study data: The 45 exercise sessions from study participants were all recorded.
B. Study parameter: The average weekly exercise time for all participants.
C. Study variable: The length of time that each individual fitness facility patron exercises.
D. Study participants: all patrons of the fitness club.
E. The 45 gym patrons who took part in the survey made up the study's sample.
F. Statistics of the study: The average amount of time that a sample of clients exercises in one week
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what is the correct factorization of 33^3x39x4^11
The correct factorization of 33³ × 39 × 4¹¹ = 2²² × 3⁴ × 11³ × 13
What is factorization?Factorization is the collecting together of the common terms of an expression so as to have it in simpler form.
How to find the correct factorization of the expression 33³ × 39 × 4¹¹?To find the correct factorization of 33³ × 39 × 4¹¹, we write out each term in terms of its common factors.
so, we have that the factorization of the first term is 33³ = (3 × 11)³ = 3³ × 11³
Also, we have that the factorization of the second term is 39 = 3 × 13
Finally, we have that the factorization of the last term is 4¹¹ = (2²)¹¹ = 2²²
So, we have that 33³ × 39 × 4¹¹ = 3³ × 11³ × 3 × 13 × 2²²
= 3³ × 3 × 13 × 11³ × 2²²
= 2²² × 3⁴ × 11³ × 13
So, the correct factorization is 2²² × 3⁴ × 11³ × 13
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(5x3)+(nx4)=5(3+4) write each missing number.
Answer:
5
Step-by-step explanation:
5 x 3 = 15
n x 4 = 4n
3 + 4 = 7
(5 x 3) + (n x 4) = 5(3 + 4)
15 + 4n = 5*7
15 + 4n = 35
4n = 35 - 15
4n = 20
n = 20/4
n = 5
Hence, the value of missing number (n) is 5.
What is the slope of a horizontal line? Write the equation of an example of a horizontal line.
The slope of the horizontal line will be zero.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is the ratio of the rise to the run.
The horizontal line always has zero slopes because the y coordinate will always be the same for two points.
The slope is calculated by the formula below,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
y₂ = y₁
Slope = ( y₁ - y₁ ) / ( x₂ - x₁ )
Slope = 0
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Please helps with all steps to solve the problem.
The solution to the inequality is (-∞, 4.05) .An inequality is a relationship that shows a non-equal comparison between two numbers or mathematical expressions.
Find inequality ?Both equations and inequalities are mathematical phrases created by connecting two expressions.
The equal sign (=) in an equation denotes that the two expressions are regarded as equal.
In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >,,, or.
Given the inequality:
-3(4 – x) 6 < 9 – 2x
Solving the inequality:
(-12 + 3x)6 < 9 - 2x
-72 + 18x < 9 - 2x
20x < 81
x < 4.05
Therefore the solution to the inequality is (-∞, 4.05)
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for values of x f(x) = 2x-3 and g(x)= x^2+1 find gf(x)
Answer:
g(f(x)) = 4x² - 12x + 10
Step-by-step explanation:
to find g(f(x)) substitute x = f(x) ino g(x)
g(f(x))
= g(2x - 3)
= (2x - 3)² + 1 ← expand parenthesis using FOIL
= 4x² - 6x - 6x + 9 + 1
= 4x² - 12x + 10
If m∠ABJ = 28, ∠ABC ≅ ∠DBJ, find m∠JBC.
Answer:
Step-by-step explanation:
If m∠ABJ = 28 and ∠ABC ≅ ∠DBJ, then we can set up the following equation:
m∠ABC = m∠DBJ
Since angles ∠ABC and ∠DBJ are congruent, they have the same measure, so the equation above is true.
Since we are trying to find m∠JBC, we can use the fact that the measure of an angle is equal to the sum of the measures of the other two angles in the triangle to set up another equation:
m∠JBC = m∠ABC + m∠ABJ
Substituting the value for m∠ABC from the first equation into the second equation, we get:
m∠JBC = m∠DBJ + m∠ABJ
Substituting the given value of m∠ABJ into this equation, we get:
m∠JBC = m∠DBJ + 28
Since m∠ABJ = m∠DBJ, we can substitute m∠ABJ in for m∠DBJ:
m∠JBC = m∠ABJ + 28
Substituting the given value of m∠ABJ into this equation, we get:
m∠JBC = 28 + 28
Solving this equation, we find that m∠JBC = 56.
Therefore, the measure of angle ∠JBC is 56 degrees.
I need c15 and c16 doing please with working out thank you
Therefore , the solution to the given problem of circle comes out to be area = 25.1 sq cm and perimeter=12.5 cm.
What is the circle?Every position in a circle's plane is equally spaced from the centre and is considered to be a closed, double object. A line of reflected symmetry is created as a result of each line traversing the circle. Each angle also has an axis of symmetry that circles its center.
Here,
Given : Diameter = 8
Radius = 8/2 = 4cm
To find the semi circle area
=>semi circle area = πr²
=> 22/7 * 4² *1/2
=> 25.1 sq cm
To find the perimeter of semi circle :
=> 2πr /2
=> πr
=> 22/7*4
=>12.5 cm
Therefore , the solution to the given problem of circle comes out to be area = 25.1 sq cm and perimeter=12.5 cm.
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George peels and eats 2 whole satsumas.
He then splits another satsuma into 6 equal segments and eats 1 of these segments.
How many satsumas does he eat in total?
Give your answer as an improper fraction.
The total number of satsumas eated by George are 2[tex]\frac{1}{6}[/tex].
What is fraction?Fractions represent the parts of a whole or collection of objects. A fraction has two parts namely numerator (upper part) and denominator (lower part).
Given is that George peels and eats 2 whole satsumas. He then splits another satsuma into 6 equal segments and eats 1 of these segments.
The total number of satsumas eated by him can be written as -
2 + 1/6
2[tex]\frac{1}{6}[/tex]
Therefore, the total number of satsumas eated by George are 2[tex]\frac{1}{6}[/tex].
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What is the greatest common factor for 27 and 51
Answer:
27:-3×9
51:-3×17
In 27 and 51 the common one is 3 and hence it is the greatest common factor.✓✓
if you want smallest or lowest common factor then you have to take the common 3 as one and multiply like this:-3×9×17=459 is the Lowest common factor.
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least common number
( sorry i forgot what its called )
of 598 and 45
The least common multiple of 598 and 45 is 26, 910
How to find the least common multiple ?To find the least common multiple of 598 and 45, you can use the prime factorization method. This involves finding the prime factors of both 598 and 45 and then multiplying these prime factors when they are in their highest power.
This gives:
598 prime factorization :
2 x 13 x 23 = 598
45 prime factorization :
3 x 3 x 5 = 45
The least common multiple is;
= 2 x 13 x 23 x 3 x 3 x 5
= 26, 910
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What is the sum of 6x+7 and 8x^2+5x-1
Answer:
8x² + 11x + 6
Step-by-step explanation:
6x + 7 + 8x² + 5x - 1 ← collect like terms
= 8x² + (6x + 5x) + (7 - 1)
= 8x² + 11x + 6
Find the slope of the line through each pair of points.
(4, 18), (4, -11)
Answer:
undefined
Step-by-step explanation:
slope formula:
m =y2-y1 / x2-x1
m= -11-18 / 4-4= -29/0
you cannot divide by zero so the slope is undefined
Anyone know about this thanks :)
The height of the rock ledge is 20 meters and height of the tree is 59 meters.
What are heights and distances?Heights and Distances is a study about the applications of Trigonometry. It has many real-life applications, such as measuring the object’s height, depth of the object, the distance between two celestial objects etc. The formulas and the ratios of trigonometry are helpful in the study of heights and distances.
From a rock ledge, the angle of elevation to the top of a tree is 22°. The angle of depression to the base of the tree is 12°.
a) Let the height of the rock ledge be x.
Now, tan12°=x/96
0.2125=x/96
x=20.4 meters
x≈20 meters
b) Let the height of the tree be y
Here, part of the tree is y-20
Now, tan22°=(y-20)/96
0.404=(y-20)/96
y-20=38.784
y=58.784
y≈59 meters
Therefore, the height of the rock ledge is 20 meters and height of the tree is 59 meters.
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Select all the correct answers. The manufacturer of a popular brand of markers is planning to release a new color. To determine which color to add, it mailed out surveys to 5,000 of its customers regarding the general color family they prefer. The returned results are shown in this pie chart. A Pie Chart with four sections representing the color preferences Blues, Greens, Yellows, and Pinks Based on the results, one member of the management team says they should choose the new color from the blue family of colors since a majority of people prefer those colors. Another member doesn’t agree and thinks they should do more research. Which statements would support her request? The difference among the percentages is not statistically significant enough to make the claim of majority. A majority of the management team prefers the yellow family of colors. Not all color families were represented in the survey, which could cause a nonresponse bias. The mail-in survey may have resulted in an undercoverage bias. Since only existing customers were surveyed, the results were not random.
The statements that would support her request include:
The difference among the percentages is not statistically significant enough to make the claim of majority.Not all color families were represented in the survey, which could cause a nonresponse bias.The mail-in survey may have resulted in an undercoverage bias.Since only existing customers were surveyed, the results were not random.How to illustrate the information?A well-known marker brand's manufacturer intends to introduce a new shade. It mailed surveys to 5,000 of its customers asking them which general color family they preferred in order to decide which color to add.
The percentage difference is not statistically significant enough to support the majority claim. The survey did not include families of every color, which might have led to nonresponse bias.
It's possible that the mail-in survey had an undercoverage bias. Also, the results were not random because only current clients were polled.
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Answer: the other guy is correct except for the "since only existing customers...".
Step-by-step explanation:
Just took the test, the others he mentioned were right
When you sign up for dance class you have a startup fee of $75 and then a monthly fee of $54.
The dance company uses the expression 75 + 54m to find out how much it will cost to attend classes.
How much would it cost to take classes for 10 month?
Work Shown:
75+54m
75+54*10
75+540
615
Mr. Jensen purchased a condo several years ago at a selling price of $295,420. Recently it
was appraised at a value 36.4% lower than that. What is the value of the condo now?
Roun
Answer:
The value of the condo was appraised at 36.4% lower than the selling price, which means it is now worth 100% - 36.4% = 63.6% of the selling price.
The selling price of the condo was $295,420, so the value of the condo now is $295,420 * 63.6% = $<<295420*0.636=188382.72>>188,382.72.
Therefore, the value of the condo now is $188,382.72.
Step-by-step explanation:
The equations of three lines are given below.
Line 1: y= 3x +8
Line 2: y=3x-3
Line 3: 6x - 2y= -8
For each pair of lines, determine whether they are parallel, perpendicular, or neither.
they are all parallel
they all have the same slope of three
Two car dealerships pay their employees a monthly salary plus a commission on cars that they sell.
The person who is right on the dealership that pays a higher commission, is Tyson because Dealership A pays the higher commission.
How to find the commission paid ?The commission paid on Dealership A cars can be found by the formula :
= ( Monthly income for 4 cars - Monthly income for 1 car ) / Difference in number of cars
= ( 3, 850 - 1, 900 ) / ( 4 - 1 )
= $ 650
The commission paid on Dealership B cars would be:
= ( Monthly income for 4 cars - Monthly income for 1 car ) / Difference in number of cars
= ( 3, 500 - 2, 000 ) / ( 4 - 1 )
= 1, 500 / 3
= $ 500
Dealership A pays the higher commission.
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The length of the life an instrument produced by a machine has a normal distribution with mean life of 12 months and standard deviation of 2 months.
What is the probability if X assumes a value greater than 12 months?
Probability that the length of the life of an instrument is greater than 12 months is 0.5 or 50%
If the length of the life of an instrument produced by the machine has a normal distribution with a mean of 12 months and a standard deviation of 2 months, then the random variable X representing the length of the life of the instrument is also normally distributed.
To find the probability that X assumes a value greater than 12 months, we need to use the cumulative distribution function (CDF) of the normal distribution. The CDF is given by the formula:
F(x) = (1/2) * [1 + erf((x - μ) / (σ * sqrt(2)))]
where μ is the mean, σ is the standard deviation, and erf(z) is the error function.
Plugging in the given values, we get:
F(12) = (1/2) * [1 + erf((12 - 12) / (2 * sqrt(2)))] = (1/2) * [1 + erf(0)] = (1/2) * [1 + 0] = 1/2
Since the CDF gives us the probability that X assumes a value less or equal than x, we need to subtract F(12) from 1:
P(X > 12) = 1 - F(12) = 1 - 1/2 = 0.5
So the probability that the length of the life of an instrument is greater than 12 months is 0.5 or 50%.
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2. What number is a common multiple of
5 and 9?
i’ll mark whoever brain list for the best answer
As a result, the necessary linear equations for the rectangle's area and perimeter are y = 18[x - 1] and z = 6[x + 1], respectively.
what is area ?An object's surface area is a measurement of the total volume of space that it occupies. The entire region surrounding a three-dimensional shape is referred to as its surface area. Its surface area is the total area of a three-dimensional shape. By adding the surfaces of each of a cuboid's six rectangular sides, one may determine the cuboid's surface area. The box's dimensions could also be named using the following formula: Surface (SA) = 2lw + 2lh + 2hw. A three-dimensional shape's surface area is a measurement of the total area it occupies (a three-dimensional shape is a shape that has height, width, and depth).
given
here,
Length = 3x + 3
Width = 6
Area of the rectangle = y, = length × width
y = [3x - 3 ] × [6]
y = 18x - 18 = 18[x -1]
Perimeter of the rectangle = 2[length + width]
z = 2 [3x + 3]
z = 6[x + 1]
As a result, the necessary linear equations for the rectangle's area and perimeter are y = 18[x - 1] and z = 6[x + 1], respectively.
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The correct question is :- Write a linear equation that represents the area and a linear equation that represents the perimeter of the rectangle (3x-3) cm and 6 cm .
is 0.2/2.6 0.3/3.6 proportional or not proportional
Answer:
not proportional
Step-by-step explanation:
0.2/2.6 is 1:13
0.3/3.6 is 1:12
. Describe the transformation that changes AABC to AA'B'C'.
Analysing the given figures of the triangles ABC and A'B'C' , the required transformation for changing the traingle ABC to A'B'C' is the translation.
How can a translation transformation be represented in a 2D space?In a two-dimensional space, a translation transformation can be represented by a matrix of the form [1 0 Tx], [0 1 Ty], where Tx and Ty are the horizontal and vertical translation values, respectively. The matrix shows the movement of an object in the x and y directions, with Tx representing the horizontal shift and Ty representing the vertical shift.
What are the effects of a translation transformation on an object?A translation transformation moves an object from one position to another without changing its size or orientation. The shape and size of the object remain the same, but its position changes. The object is moved along a specific direction by a certain distance, and the position of the object within a coordinate system is changed. The effect of a translation can be visualized as sliding an object along a surface, while keeping its orientation and size unchanged.
As we can see from the given graph that the traingle ABC has moved straight downward without any changes in the orientation and the size of the traingle while being transformed to traingle A'B'C', Hence the transformation is translation transformation.
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Fill in the blank to make equivalent rational expressions.
Answer:
Step-by-step explanation:
a.we should Make their denominators the same.
16[tex]x^{8}[/tex]÷4x=4[tex]x^{7}[/tex]
b.molecule multiply 4[tex]x^{7}[/tex], 5·4[tex]x^{7}[/tex]=20[tex]x^{7}[/tex]
c.finally, we get it
the answer is 20[tex]x^{7}[/tex]
the total cost for 5 adult tickets and 18 student tickets at a local theater is $98. The total cost was 98. The total cost for 4 adult tickets and 22 student tickets at the theater is $105. What’s the cost for one adult ticket and one student ticket? PLEASEE BRO
The cost of one adult ticket is 3.6 and cost of one student ticket is 4.3
Tickets for a school talent show cost $2 for students and $3 for adults. If Chris spends at least $11 but no more than 14 on x student tickets and 1 adult ticket, what is one possible value of x?Either 4 or is the appropriate response.
Chris spends a total of 2 x + 3 dollars on x student tickets and a total of x adult tickets because each student ticket costs $ 2 and each adult ticket costs $ 3.
Because Chris spends at least $ 11 but no more than $ 14 on the tickets, the entire inequality 2 x + 3 1 can be written.
x = 4 and x = 5.5 are obtained by subtracting 3 from each side of both inequalities and then dividing each side of both inequalities by 2.
A number higher than or equal to 4 and less than or equal to 5.5 must both be integers in order for x to have a value.
Therefore, either x = 4 or x = 5.
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Which sets of three numbers could represent the lengths of the sides of a right triangle?
Choose the two correct answers.
Responses
12, 15, 21
40, 42, 58
9, 40, 41
31, 40, 41
Answer: why do we even need math
Step-by-step explanation:
Iliana rotated trapezoid WXYZ 180° about the origin.
What is the correct set of image points for trapezoid WX'Y'Z'?
The correct set of image points for trapezoid WX'Y'Z' is the image points are W'(4,-2), X'(3, -4), Y'(1, -4), Z'(0, -2).
What is trapezoid?A trapezoid is a quadrilateral in American and Canadian English that has at least one set of parallel sides. A trapezium is the term used in British and other varieties of English. In Euclidean geometry, a trapezoid is invariably a convex quadrilateral. The parallel sides are referred to as the trapezoid's bases.The bases of a trapezoid (the top and bottom) are parallel to one another. A trapezoid's opposite sides are equal in length (isosceles). Angles close together add up to 180° Both bases and the median run parallel.A parallelogram has two pairs of parallel sides, whereas a trapezoid has one pair of parallel sides. A parallelogram is a trapezoid, therefore.Given data :
From the given figure, it is clear that the vertices of the trapezoid are W(-4,2), X(-3,4), Y(-1,4), Z(0,2).
If a figure is rotated 180 degrees about the origin, then
( x, y ) → ( -x, -y )
Using this rule, we get
W (-4, 2 ) → W' ( 4, -2 )
X ( -3, 4 ) → X' ( 3, -4 )
Y ( -1, 1 ) → Y' ( 1, -4 )
Z ( 0,2 ) → Z' ( 0, -2 )
Therefore, the image points are W'(4,-2), X'(3, -4), Y'(1, -4), Z'(0, -2).
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please answer this with work
Answer:
Step-by-step explanation:
-38 + -12x < -200
Answer:
-38 - 12x > -200
x = 13.5 min
Step-by-step explanation:
let x = minutes of the dive
-38 ft - 12 ft/min(x) > -200 ft
-12 ft/min(x) < -162 ft
x > -162/-12 **flip the inequality when you divide by a (-) number
x > 13.5 min
Starting at -38 ft, he has to dive longer than 13.5 minutes to go deeper than -200 ft at a rate of -12 ft/min
Statement of stockholders' equity
The revenues and expenses of Paradise Travel Service for the year ended May 31, 206, follow:
Fees earned
$900,000
Office expense
300,000
Miscellaneous expense
15,000
Wages expense
450,000
Everett McCauley invested an additional $40,000 in the business in exchange for common stock, and $10,000 of dividends were paid during the year. Common June 1, 205.
Prepare a statement of stockholders' equity for the year ended May 31, 206.
Paradise Travel Service
Statement of Stockholders' Equity
For the Year Ended May 31, 206
Common Stock Retained Earnings
Balances, June 1, 20Y5
60.000
300,000 V
Issued common stock
40,000
1♥
Net income
I x
Total
$ 360.000
V
40.000
V
Dividends
0
10,000
10.000
When all liabilities have been paid for a business, what is left over are referred to as the stockholders' equity.
What is the formula for stockholders equity?After all liabilities have been paid, a company's residual assets are referred to as its stockholders' equity. This amount is computed by deducting total liabilities from total assets, or alternatively, by adding share capital and retained earnings and deducting treasury stock.
Total Assets - Total Liabilities = Shareholders' Equity
The aforementioned equation is known as the fundamental accounting equation and is fairly simple to apply. The value of all obligations is subtracted from the total amount of assets on the balance sheet.
SE is therefore the owners' remaining claim to the assets after all debts have been paid. Total assets less total liabilities gives a company's shareholder equity. Shareholder equity includes retained earnings as well as any invested capital.
The complete question is:
Statement of stockholders' equity
The revenues and expenses of Paradise Travel Service for the year ended May 31, 20Y6, follow:
Fees earned $900,000
Office expense 300,000
Miscellaneous expense 15,000
Wages expense 450,000
Everett McCauley invested an additional $40,000 in the business in exchange for common stock, and $10,000 of dividends were paid during the year. Common stock had a balance of $60,000 and retained earnings had a balance of $300,000 as of June 1, 20Y5.
Prepare a statement of stockholders' equity for the year ended May 31, 20Y6.
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When all liabilities have been paid for a business, what is left over are referred to as the stockholders' equity.
What is the formula for stockholders equity?After all liabilities have been paid, a company's residual assets are referred to as its stockholders' equity. This amount is computed by deducting total liabilities from total assets, or alternatively, by adding share capital and retained earnings and deducting treasury stock.
Total Assets - Total Liabilities = Shareholders' Equity
The aforementioned equation is known as the fundamental accounting equation and is fairly simple to apply. The value of all obligations is subtracted from the total amount of assets on the balance sheet.
SE is therefore the owners' remaining claim to the assets after all debts have been paid. Total assets less total liabilities gives a company's shareholder equity. Shareholder equity includes retained earnings as well as any invested capital.
The complete question is:
Statement of stockholders' equity
The revenues and expenses of Paradise Travel Service for the year ended May 31, 20Y6, follow:
Fees earned $900,000
Office expense 300,000
Miscellaneous expense 15,000
Wages expense 450,000
Everett McCauley invested an additional $40,000 in the business in exchange for common stock, and $10,000 of dividends were paid during the year. Common stock had a balance of $60,000 and retained earnings had a balance of $300,000 as of June 1, 20Y5.
Prepare a statement of stockholders' equity for the year ended May 31, 20Y6.
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