Work Shown:
a = old price = 5000
b = new price = 2800
c = change in price
c = b-a
c = 2800-5000
c = -2200
The value of c is negative to indicate a price decrease.
d = percent change
d = (c/a)*100%
d = (-2200/5000)*100%
d = -44%
There is a 44% decrease or discount.
Solve the system of linear equations by graphing. Y=-3 and 6x +y=3
What is the equation of the line that passes through the point (7, -4) and has an
undefined slope?
8-2z+3(x+y), when x=4, y=9, Z=3
[tex]8-2z+3(x+y)[/tex] when x is 4, y is 9, and z is 3
Substitute:
[tex]8-2(3)+3(4+9)[/tex]
[tex]8-6+39[/tex]
Solve:
[tex]8-6+39\\=\fbox{23}[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{8 - 2z + 3(x + y)}[/tex]
[tex]\mathsf{= 8 - 2(3) + 3(4 + 9)}[/tex]
[tex]\mathsf{= 8 - 6 + 3(4) + 3(9)}[/tex]
[tex]\mathsf{= 8 - 6 + 12 + 27}[/tex]
[tex]\mathsf{= 2 + 12 + 27}[/tex]
[tex]\mathsf{= 14 + 27}[/tex]
[tex]\mathsf{= 41}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{41}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Use the long division method to find the result when 4x^3+13x^2+17x+8 is divided by x+1
Step-by-step explanation:
please refer to the sketch
Just before a referendum on a school budget, a local newspaper polls 417 voters to predict whether the budget will pass. Suppose the budget has the support of 54% of the voters. What is the probability that the newspaper's sample will lead it to predict defeat?
Answer:
The probability here is 62%
The probability that the newspaper's sample will lead it to predict defeat is approximately 0.0495, or about 5%.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Let X be the number of voters in the sample who do not support the budget (i.e., who will vote against it). Then X follows a binomial distribution with parameters n = 417 (the sample size) and p = 1 - 0.54 = 0.46 (the probability that a voter does not support the budget).
The probability that the sample will lead the newspaper to predict defeat is the probability that X is greater than half the sample size (since the budget will be defeated if more than half of the voters in the population vote against it). In other words, we need to calculate:
P(X > 0.5n) = P(X > 0.5 × 417) = P(X > 208.5)
We can use a normal approximation to the binomial distribution to estimate this probability. The mean of the binomial distribution is np = 417 × 0.46 = 191.82, and the standard deviation is √(np(1-p)) = √(417 × 0.46 × 0.54) = 10.04.
To apply the normal approximation, we standardize the random variable X as follows:
Z = (X - np) / √(np(1-p))
Then we can use a standard normal distribution table or calculator to find the probability:
P(X > 208.5) = P(Z > (208.5 - 191.82) / 10.04) = P(Z > 1.65) ≈ 0.0495
Therefore, the probability that the newspaper's sample will lead it to predict defeat is approximately 0.0495, or about 5%.
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-15 POINTS- Find the length of the indicated side of the similar figure X=[?]
please help !!!!!!!!
8.96848786347
i think this should be right i did it with my 5th grade math skills and dont wory i have an a+
T:
Change each denominator to the given denominator. Check if the domain changed.
If yes, state the changes.
12
y = x
x-y
to a denominator of x - y
The domain of the expression
The new expression is -12/(x - y) and the domain is x ≠ y
How to change the denominator?From the question, we have the following parameters that can be used in our computation:
12/(y - x)
Multiply the fraction by 1
So, we have the following representation
12/(y - x) * 1
Express 1 as -1/-1
This gives
12/(y - x) * -1/-1
So, we have
-12/(x - y)
It should be noted that the domain remains the same
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-15 POINTS-
What’s the length of GH
7.89 divided by 2 step by step
Answer:
3.945
Step-by-step explanation:
7X -6Y=-3 what is the slope of the parallel and perpendicular line
Answer:
parallel: 7/6perpendicular: -6/7Step-by-step explanation:
You want the slopes of the lines parallel and perpendicular to 7x -6y = -3.
SlopeThe slope is the x-coefficient when the equation is in slope-intercept form:
y = mx +b
Solving for y gives ...
-6y = -7x -3
y = 7/6x +1/2 . . . . . divide by -6
The slope of the given line is 7/6.
ParallelA parallel line will have the same slope: 7/6.
PerpendicularA perpendicular line will have opposite reciprocal slope: -6/7.
Suppose f is a function. If f(6) = -9, give an ordered pair of numbers that is a solution of the function.
The ordered pair solution to the function f(x) is (6, -9) because f(6) = -9,
What is an equation?An equation is an expression relating numbers and variables.
A function is a rule that defines the relationship between the dependent and independent variable. Dependent variables are variables that depends on others variable while independent variables are variables that does not depends on others variable
A solution to a function is the values of the variable that makes the equation true.
Given the function f(x) have solution of f(6) = -9. The ordered pair is (6, -9)
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Helpp!! Solve the system by graphing.
Write the word sentence as an equation.
11 3/4 is the quotient of a number y and 6 1/4
An equation that represents this sentence is ?
The equation that represents the sentence is y ÷ 6₄¹ = 11₄³
What is quotient?
The word quotient is the outcome when dividend is divided by a divisor.
The result that comes from a division process is termed as quotient. While writing an equation quotient is placed on the right-hand side of the equal sign.
The number that is divided by other number is called dividend and this other number is called divisor.
Write the word sentence as an equation given in question?11³₄ is the quotient of a number y and 6¹₄.
47/4 is the quotient of a number y and 25/4
hence, y is the dividend and 25/4 is the divisor
y ÷ 25/4 = 47/4
y × 4/25 = 47/4
y = 1175/16
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Can someone solve this please
Answer:
u=37
Step-by-step explanation:
u+41= u+4 + u (sum of 2 interior angles is equal to exterior angle)
u+41= 2u+4
2u-u= 41-4
u=37
There is a pair of parallel sides in the following shape.
Answer:
A = 38.5 units²
Step-by-step explanation:
the figure has one pair of parallel sides and is therefore a trapezium.
the area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
b₁ and b₂ are the parallel bases and h the perpendicular height between them.
here h = 7 , b₁ = 5 , b₂ = 6 , then
A = [tex]\frac{1}{2}[/tex] × 7 × (5 + 6) = 3.5 × 11 = 38.5 units²
Find one value of x so that x + 3 is equal to 2x.
Answer:
-4
Sorry if this is wrong.
please please help so desperate
Answer:
The objective of the PACER is to run as long as possible while keeping a specified pace. Students run back and forth across a 20-meter space at a pace that gets faster each minute. A point is scored for each 20-meter distance covered. The test is easier in the beginning but progressively gets more difficult.
Step-by-step explanation:
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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The physician orders 3 mg/kg of medication twice a day. The patient’s weight is 315 lb. How much medication does the patient receive each day?
Answer: To find out how much medication the patient receives each day, you need to determine the patient's weight in kilograms and then calculate the total dosage per day.
You can convert the patient's weight from pounds (lb) to kilograms (kg) by dividing the weight by 2.2.
So,
315/2.2 = 142.72 kg
Next, we can use this weight to determine the dosage per day:
3 mg/kg * 142.72 kg = 428.16 mg
Now, since the physician ordered twice a day, we will multiply the dosage per day with 2:
428.16 mg * 2 = 856.32 mg
So the patient receives 856.32 mg of medication each day.
Step-by-step explanation:
Yoga Common Core Performance Assessment_ Regina takes yoga classes 2 days a week at the community center. The cost for the classes is $72, and Regina pays an additional one-time fee of $12 to rent the yoga equipment used in class. The classes run for 6 weeks. The local gym offers the same yoga program, including equipment, for $8 a class. Is Regina paying more or less than what the local gym charges for yoga classes?
On solving the provided question, we can say that - by the help of unitary method the value of 9 units will be
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
here,
cost for the 12 classes = $72
cost of 1 unit = $6
cost of 9 units = $54
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What is the value of m in the figure below? If necessary , round your answer to the nearest tenth of a unit
Using the concept of similar triangles, the value of m to the nearest tenth of a unit in the given figure is 6.71.
What are similar triangles?Triangles with the same geometry but different sizes are said to be similar triangles. Examples of related objects are all equilateral triangles and squares with any side length. In other words, two triangles that are similar have corresponding sides that are proportionate equal and corresponding angles that are similar.
From the concept of the similar triangle,
3/BD = BD/12
BD² = 12 × 3
BD² = 36
As triangle BDC is a right-angled triangle, use Pythagoras' theorem
m² = BD² + 3²
m² = 36 + 9
m² = 45
m = √45
m = 6.708
m ≈ 6.71
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I don’t understand this ssshh
After evaluating the given expressions the results could be 245 / 89 , 43/6, 33/4 .
What is expression ?
expression can be defined as with the minimum of two variables or numbers and at least one math operation.
Given that ,
7/ 8 * 14 / (3/8 * 6 ) + 2 1/5
= (7/8 * 14 )/ ((18 / 8) + 11/5)
= (98/ 8 ) / (90 + 88) / 40
= (98/ 8 ) / (178/ 40)
= (98 * 40) / (8* 78)
= 245/89
Hence the final value could be 245/53.
7/ 8 + (6*7/8 - 4 * 3/16 ) / (3/4 )
(7/8 + (21/4 - 3/4 ) ) / (3/4)
(7/8 + 18/4) / (3/4)
(43/8) / (3/4)
43/6
Hence the final value could be 43/6.
3 1/7 * (3 1/3 * (2/3 + 1/6 ) - 5/18 ) / 2 (3/7)
11/7 * (10/6 - 5/18) / (17/7)
(11/7 )* (27/ 18) /( 17/7)
(11* 27/18 )/ (17)
33/34.
Hence the final value could be 33/34.
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If 1 US Dollar is worth 0.80 Euros, how many US Dollars is 1 Euro worth?
search in to find answer
An octagon has a perimeter of 27 feet. If the sides of the octagon shrink by a scale factor of 8/9, what will the perimeter of the new octagon be
The perimeter of the new octagon be 24 feet.
What is the perimeter of octagon?A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.
There are numerous uses in real life for perimeter calculations. The measurement of the fence needed to completely enclose yard or garden is called the perimeter. How far a wheel or circle will roll in one revolution is determined by its circumference, or perimeter.
The length of each side of an octagon is the same. In order to calculate the perimeter of an octagon, multiply 8 by the length of its sides.
Given that the perimeter of an octagon is 27 feet
so the length of its side is 27/8 feet
if the side of the octagon shrink by a scale factor of 8/9
The side of new octagon is (27/8) * (8/9)
The side of new octagon is 3 feet.
So the perimeter of new octagon is 8 * side
⇒ the perimeter of new octagon = 8 * 3 feet
⇒ the perimeter of new octagon = 24 feet
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Change this radical to an algebraic expression with fractional exponents.
3√a
The fractional form of the expression [tex]\sqrt[3]a[/tex] is [tex]a^{\frac{1}{3}[/tex]
What are surds and indices?We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,
The other type of radicals are indices where a number is raised to such power that is greater than one.
Given, A radical expression [tex]\sqrt[3]a[/tex].
We know this describes the cube root of a or one-third root of a.
This can be written as a fractional exponent as [tex]a^{\frac{1}{3}[/tex].
Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
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what is the cosine of π/3
A construction company is building a fence that is 1 1/3 miles long. They can building the fence 1/6 Mile every hr. How long to build the fence?
The time to build the fence will be 10 hours.
How to calculate the time?The fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
Since construction company is building a fence that is 1 1/3 miles long and they can building the fence 1/6 Mile every hr.
The time to build the fence will be:
= 1 1/3 ÷ 1/6
= 5/3 × 6/1
= 30 / 3
= 10 hours.
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Help Please!!!!!!!!!
Answer:
what's the question?
Step-by-step explanation:
PLEASE HELP WITH EASY FRACTIONS APPRECIATED MUCH!!!
Answer: 3/4 is right
Step-by-step explanation: