Answer:
B, C, E
Step-by-step explanation:
Let y = length.
Then, y - 5 = width.
area = length × width
area = y(y - 5)
area = 750
y(y - 5) = 750
y² - 5y = 750
A: y(y + 5) = 750
Since y = length, width must be y - 5, not y + 5, so A does not work.
B: y² - 5y = 750
This is what we got above, so this equation works.
C: 750 - y(y - 5) = 0
750 = y(y - 5)
750 = y² - 5y
This is the same as B and works.
D: y(y - 5) + 750 = 0
y(y - 5) = -750
The area cannot be -750, so this equation does not work.
E: (y + 25)(y - 30) = 0
y = -25 or y = 30
This also works.
Answer: B, C, E
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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Natalie is driving on the freeway. She just passed mile marker 290. The markers have
been increasing as she drives by them. The fastest Cameron will drive is 80 miles per
hour. However, there is a bit of traffic that might slow her down, but she doesn't know
exactly how much it will slow her down.
a. Write an inequality to represent Natalie's position relative to the mile markers
three hours from now.
b. Rewrite this inequality to reveal Natalie's speed.
Need help with this ASAP
On solving the provided question we can say that - the inequality equation which will be formed is 290x [tex]\geq[/tex] -23 + y
What is inequality?A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.
here,
we have 290x
so the inequality equation which will be formed is
-y + 290x [tex]\geq[/tex] -23
290x [tex]\geq[/tex] -23 + y
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A crate is shaped like a rectangular prism. The
crate is 3 ft wide, 5 ft long, and 7 ft tall. What is the
volume of the prism in cubic feet?
Answer:
I think 105.
Step-by-step explanation:
3 × 5 = 15
15 × 7 = 105.
Answer: The answer is 105 cubic feet.
Step-by-step explanation: V= l x w x h, so V= 3 x 5 x 7 is the equation.
if a=o.3 and b=0.5 what is the value of a+b?
Find all the zeros of the function: f(x) = x^2 - 2x - 3
Answer:
x= 3 and -1
Step-by-step explanation:
[tex]f(x) = {x}^{2} - 2x - 3[/tex]
add three to both sides
[tex]3 = {x}^{2} - 2x[/tex]
figure out what half of -2 is
half of -2 is (-1) than square that (-1)^2=1
the 1 is what you add to both sides
[tex]3 + 1 = {x}^{2} - 2x + 1 \\ 4 = {(x - 1)}^{2} [/tex]
than take the square root of both sides
[tex] \sqrt{4} = \sqrt{ {(x - 1)}^{2} } [/tex]
this than equals
+2=x-1
than to find the x values
2=x-1
+1 +1
3=x
-2=x-1
+1 +1
-1=x
write an equation to describe the following situation in terms of Y and X
Answer:
[tex]y = 19000x \\ 19000 = 1 \times 19000 \\ 114000 = 6 \times 114000 \\ 133000 = 7 \times 19000[/tex]
one of the angels of a pairs of complementary angel is 50degree. find the ratio of the Paris of complementary angel.
Answer:
The other complementary angle measures 40 degrees.
Step-by-step explanation:
Given that one of the angles of a pairs of complementary angles is 50 degrees, to find the ratio of the pair of complementary angles, the following calculation must be performed, knowing that the sum of two complementary angles is equal to 90 degrees:
X + 50 = 90
X = 90 - 50
X = 40
Therefore, the other complementary angle measures 40 degrees.
55° find the angle.
Answer:
125°
Step-by-step explanation:
The total must be 180°.
180° - 55°
125°
Answer:
125°Step-by-step explanation:
Angle on a straight line = 180°
Given angle = 55°
Unknown angle = x°
[tex]x+55=180\\\\x=180-55\\\\x=125\°[/tex]
is 10/12 and 40/64 a proportion
Answer:
No, it is not a proportion
Step-by-step explanation:
10/12 and 40/64 is not a proportion since although the numerator is constant because when multiplied by 4, it gives us 40, however, when you multiply 4 by 12, you get 48, therefore, it is not a proportion since the changes in the value of a proportion must be constant in both the numerator and denominator.
Hope this helped! :D
Find the 8th term of the geometric sequence whose common ratio is 3/2 and whose first term is 6.
Answer:
A geometric sequence is a sequence of numbers such that the ratio of any two consecutive terms is always the same. This ratio is called the common ratio of the sequence.
In this case, the common ratio is 3/2 and the first term is 6. The nth term of a geometric sequence can be found using the formula:
a_n = a_1 * r^(n-1)
where a_n is the nth term, a_1 is the first term, and r is the common ratio.
Substituting the given values, we have:
a_8 = 6 * (3/2)^(8-1) = 6 * (3/2)^7
Calculating, we find that the 8th term is:
a_8 = 6 * (3/2)^7 = 6 * (9/2) = 27
Therefore, the 8th term is 27.
Step-by-step explanation:
Which equation could be used to find the circumference, in inches, of a garbage can if the radius of its circular basis is 10 inches?
Answer: A
The circumference formula for a circle is 2 x pi x r. So if the radius is 10 then 2 x 10 = 20. Then 20 x pi.
Hope it helps.
The circumference of the garbage can will be 20 x π inches
What is the circumference of a circle?The circumference of a circle or oval in geometry is its perimeter. That is, if somehow the circle were expanded out and squared out to a line segment, the perimeter would be the lengths of the arc. The curve distance around any closed image is more often referred to as the circumference.
Let 'r' be the radius of the circle that is 10 inched.
The circumference of the circle will be
C = 2πr units
The radius of the garbage can is 10 inches. Then the circumference of the garbage can is calculated as,
C = 2πr
C = 2 x πx 10
C = 20 x π inches
The circumference will be 20 x π inches.
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Find the median: 86, 24, 65, 65, 24, 24 *
Answer:
24 or uhm 44.6? i.d.k.
Step-by-step explanation:
The median of the given set {86, 24, 65, 65, 24, 24} is 44.5.
To find the median of the given set of numbers: 86, 24, 65, 65, 24, 24, we need to first arrange the numbers in ascending order:
24, 24, 24, 65, 65, 86
Now, there are six numbers in the set. Since there is an even number of data points, the median is the average of the two middlemost values.
The two middlemost values are 24 and 65.
Median = (24 + 65) / 2 = 89 / 2 = 44.5
So, the median of the given set is 44.5.
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Please help I was sick and missed out on class thank you.
On solving the value of provided question we can say that - the value of the slope intercept y = -3.
what is slope intercept?The point on the y-axis where the slope of the line passes is known as the intersection point in mathematics. the location on a line or curve where the y-axis crosses that point. This is demonstrated by putting y = mx+c as the equation for the straight line, where m denotes the slope and c the y-intercept. In the intercept form of the equation, the slope (m) and y-intercept (b) of the line are highlighted. The slope is m, and the y-intercept is b for equations in the intercept form (y=mx+b). Additionally, certain equations may be recast to seem like slope intercepts. For instance, if y=x is rewritten as y=1x+0, the slope becomes 1 and the y-intercept becomes 0.
as we can see from graph that,
line passes through origin, so x= 0
the, y = -5x - 3
y = -3
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In a school, 60% of the girls and 70% of the boys own a bicycle. if a boy and a girl are selected at random from the school, find the probability that only one of them own a bicycle
Answer:
23/50 or 0.46
Step-by-step explanation:
probability of girls owning a bicycle 60/100=3/5
probability of girls no owning one is 1-3/5=2/5
same method for boys 70/100=7/10
probability for not is 3/10
to find the probability that only one does you would do..
(3/5*3/10)+(2/5*7/10)
which equals 23/50 or 0.46
4. Of the three elevations, -2 feet, -12 feet, and
30 feet, which represents the least number?
Which represents the farthest distance from
sea level?
On solving the provided question, we can say that - y proportional to as the cube of s, y = ks3, then 8 = k * 23 => k = 1 then y = 1 * 53 = 125
what is directly proportional?If two numbers are directly proportional, then as one quantity grows by a specific percentage, so does the other quantity by the same percentage. As an illustration, as gas costs rise, the price of food may also increase. If the ratio of two values x to y never changes, then x and y are said to be directly proportional to one another. example: Let's say you spend Rs. 50 on two pens. 4 pens cost 100 rupees each. If the ratio of two numbers, x and y, is greater than 1, then the two values The value of y1 is constant.
Since y proportional to as the cube of s, y = ks3.
8 = k * 23 => k = 1
then y = 1 * 53 = 125
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Sixty is 20 percent more than what number?
Answer:
48
Step-by-step explanation:
20 percent off of 60 is 48
Sixty is 20 percent more than 50.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Let's call the unknown number x.
We know that 60 is 20% more than x, which can be written as:
60 = x + 0.2x
Simplifying:
60 = 1.2x
Dividing both sides by 1.2:
x = 50
Therefore, 60 is 20% more than 50.
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calculate 4 raise to power 2 multiply by 5 raise to poer 2 minus 18 raise to power 2
Answer:
76
Step-by-step explanation:
4^2 x 5^2 - 18^2
PEMDAS is our acronym for order of operations: Parentheses, exponents, multiplication, division, addition, subtraction.
Since we have no parentheses, we'll calculate the numbers and exponents (PEMDAS) first. "to the power of 2" is also called "squared" and means multiplying that number by itself.
(4x4) x (5x5) - (18x 18)
=16 x 25 - 324
Now we multiply: (PEMDAS)
= 400 - 324
then subtract: (PEMDAS)
=76
Answer:
76
Step-by-step explanation:
See 4^2 = 4x4 = 16
5^2 = 5x5 = 25
18^2 = 18x18 = 324
So it is
16 x 25 - 324
= 76
Hope it helps :D
Write the expression as a decimal number 2 x 0.1 + 5 x 0.001 =
The measure of decimal number is 2 tenths + 5 thousandths is 0.205.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator)
Given expression
2 x 0.1 + 5 x 0.001
the expanded form is 2 tenths + 5 thousandths
= 2/10 + 5/1000
multiply and divide by 100 in 2/10
we get 200/1000
now 200/1000 + 5/1000 = 205/1000 = 0.205
Hence value of expression is 0.205.
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Can someone solve this
Answer:
[tex] m = \boxed{10}, \: \: c = \boxed{0}[/tex]
Step-by-step explanation:
[tex]y = 10x \\ \\ y = 10x + 0 \\ \\ equating \: it \: with \\ y = mx + c \\ \\ m = \boxed{10} \: \: c = \boxed{0}[/tex]
The price of a pair of pants decreased from $49.99 to $19.95. What was the percent decrease in the price?
Answer:
60.092%
Step-by-step explanation:
For this problem, we will simply create a ratio to find the difference created between the prices, and subtract this from 1 (100%) to find the percent decrease.
$19.95 / $49.99 = 0.39908
1 - 0.39908 = 0.60092
Given that we take away the difference from the price from the percent of the whole, we find that the price decrease is 60.092%.
Thus, we have found the percent decrease.
Cheers.
How many Proper Fractions are there?
Danielle is trying to solve the equation 7^x = 22 . Explain in detail how Danielle should solve this problem. Then solve it step by step showing all your work and tell Danielle what the answer should be.
Answer:
Step-by-step explanation:
7^x=22
take log of both sides
[tex]log(7)^x=log 22\\x log 7=log22\\x=\frac{log 22}{log7} \approx ~1.59[/tex]
A system of equations is graphed on the coordinate plane.
y=−x+5
y=2x−1
What is the solution to the system of equations? Enter the coordinates of the solution
The solution to the system of equation shown in the graph is (2, 3)
What is an equation?An equation shows how two or more numbers and variables are related to each other.
The standard linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept
Given the equation:
y=−x+5 (1)
y=2x−1 (2)
Solving by elimination method. Subtract equation 2 from 1:
0 = -3x + 6
x = 2
Put x = 2 in eqn 1:
y = -(2) + 5 = 3
The solution is (2, 3)
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hello pls tell me the answer quick pls
Answer: 1. Trapezoid. 2 scalene 3: 24 4: Q and R
Step-by-step explanation:
1 is trapzoid because there's only one parallel side. 2 is scalene since scalene triangles have no same sides. 3 is 24 because 4*2*3. 3 is Q and R because those sides are the same.
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
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please help this is very important
Answer:
its A
Step-by-step explanation:
The fraction
produces a repeating decimal.
0.750
O A. True
B. False
Answer:
False
Step-by-step explanation:
6/8=3/4=0.75 not 0.750750750750...
Answer:
False
Step-by-step explanation:
The fraction in decimal form will be 0.75 and not a repeating decimal.
Find the measure of the missing angles.
Answer:
c = 62 degrees
b = 118 degrees
Step-by-step explanation:
vertical angles are congruent. the 62-degree angle is vertical to angle c
linear pair angles are supplementary. the 62-degree angle is supplementary to angle b. 180 = 62 + b. 118 = b
Put these in order from least to greatest!: 88/25, 3.551, 3.88, 3 11/20
Rewrite all 4 numbers as decimals to compare them:
88/25 = 3.52
3 11/20 = 3.55
Now arrange them in the correct order:
88/25, 3 11/20, 3.551, 3.88
Answer:
Step-by-step explanation:
all numbers are 3 and some more
start by arranging the decimals from least to greatest
3.551, 3.88
88/25 ( 25, three times is 75) = 3 and (88-75)/25 = 3 and 13/25 =3.52
3 11/12 is almost 4 because 11/12 is almost 12/12
the order is :
88/25, 3.551, 3.88, 3 11/20
An iPhone costs £850 in London, €800 in Paris and $1,000 in New York.
Using £1 = €1.18 and £1 = $1.43, state the lowest price of the iPhone in £.
Lowest price of an iPhone in Paris is €800 because they stated that one euro is equal to one dollar; when multiplied, the result is 944; this indicates that the iPhone is priced lower in Paris.
What is lowest value of iphone ?It is possible to compare the conversion rates of sterling into the euro and the dollar using the same amount of pounds.
Sterling to Euro : [tex]$750 \times 1.14=6855$[/tex]
Pounds to dollars : [tex]$750 \times 1.39=\$ 1042.5$[/tex]
One phone may be purchased with one pound. The dollar is insufficient to purchase a cell phone, but the euro has enough money to do so. Paris has the lowest pricing for the iPhone from this perspective.
The iPhone SE (2020), which costs Rs 40,000, costs more over a lakh rupees according to the most recent Apple price list for India. Everywhere in the globe, the USA market offers the cheapest prices for iPhones.
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Please help me on this
The constant of proportionality is 3