Suppose rebecca needs a dog sitter so that she can travel to her sister's wedding. rebecca values dog sitting for the weekend at $200. susan is willing to dog sit for rebecca so long as she receives at least $150. rebecca and susan agree on a price of $175. suppose the government imposes a tax of $10 on dog sitting. the tax has made rebecca and susan worse off by a total of

Answers

Answer 1
Answer: They are worse off by 5.7%.

I assumed that you are looking for the percentage that the girls have to pay. To find the percent, we need to divide 10 by 175 and multiply it by 100. That will give us 5.7%. One of the girls will have to pay this, or they could split it evenly and each pay $5 or 2.9%,
Answer 2

The tax has only made Susan worse off by $10 or 5.7% because Rebecca is the one who is going to pay for the dog sitting and not Susan (who is going to have an income of $165 after-tax).

Further Explanation:

Income Tax: It is the additional payment that an individual needs to pay on the amount of income he/she generates. Here $10 is the tax on the income which Susan is going to generate by dog sitting the dog of Rebecca.

Here, it can be seen that Susan is the one who is earning from the transaction and not Rebecca. So, Rebecca is should not bear any tax payable to the government since both of them agree to a price of $175 so that is the only amount which Rebecca is going to pay for dog sitting. Also, if Susan herself pays the whole amount of tax, it still would not bother her because her expectation from dog sitting was $150 which is still lesser than what she expected in the first place.

Learn more:

1. Learn more about the tax on the profit from selling the fixed assets

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2. Learn more about the personal tax

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3. Learn more about the role of money

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Answer details:

Grade: Senior School

Subject: Taxation

Chapter: Tax imposed on various services.

Keywords: Income tax, payment of tax, dog sitting during the wedding, dog sitter, worse off condition of Rebecca and Susan.


Related Questions

40 POINTS! + BRAINLIEST

What is the measure in radians for the central angle of a circle whose radius is 6 cm and intercept arc length is 5.4 cm?

Make sure to show all calculations.

Answers

6.5555555555555555555

Answer:

6.5

Step-by-step explanation:

1. calculate using the equation

The sum of three consecutive odd integers is − 105 . find the numbers.

Answers

the equation would be
x+(x+2)+(x+2+2)=105
3x+2+2+2=105
3x+6=105
3x=99
x=33
so the answers would be 33, 35 and 37


Dyann takes a bus to work every day. On Monday the trip took 34 minutes. On Tuesday the trip took 36 minutes. On Wednesday the trip took 35 minutes. On Thursday the trip took 34 minutes. Dyann determines that the trip to work on Friday will take about 35 minutes.

Does her conclusion use inductive, or deductive reasoning?

Answers

Answer:

inductive reasoning

In this question, the conclusion is that the trip to work on Friday will take about 3535 minutes. This conclusion is based on observation of specific examples instead of scientific research.

Therefore, the type of reasoning used is inductive reasoning.

What is the least common Multiple of 9 and 10? Use prime factorization to solve.

Answers

the least common multiple is 1
The LCM is 90
......................

The length of a rectangle is represented by the function L(x) = 6x. The width of that same rectangle is represented by the function W(x) = 4x2 − 3x + 8. Which of the following shows the area of the rectangle in terms of x?

Answers

Length of the rectangle, L(x) = 6x
Width of the rectangle, W(x) = 4x² - 3x + 8

Area of a rectangle = Length * Width
Therefore, Area od the rectangle = 6x (4x² - 3x + 8)

= (4x² · 6x) - (3x · 6x) + (8 · 6x)

= 24x³ - 18x² + 48x
We know that the area of a rectangle can be computed by multiplying the length times the width. 

P = L X W

Now taking into account the given, we can say that:
[tex](L.W)(x) = (6x)(4 x^{2} - 3x + 8)[/tex]

Now let's simplify the expression by doing the operation and you will have this as your result:
[tex](L.W)(x) = 24x^{3} - 18x^{2} + 48x[/tex]

A(-5,-4) ——> A’ is a glide reflection where the translation is (x,y)—->(x+6,y), and the line of reflection is y=3. What are the coordinates of A’?
A. (1,-4)
B. (-5,2)
C. (1,10)
D. (11,2)

Answers

Solution:

The Point in the coordinate plane is A(-5,-4).

Perpendicular or shortest Distance from line y=3 that is (-5,3) to point (-5,-4) is

[tex]=\sqrt{(-5+5)^2+(3+4)^2}\\\\=7[/tex]

When it is reflected through the line, y=3, the coordinate of point A (-5,-4) changes to (-5,3+7)= B(-5,10).

Now, the Point B is translated by the rule , (x,y)—->(x+6,y),

So,the point B is translated to, (-5+6,10)=(1,10)

Option C: (1,10) is the glide reflection of point A(-5,-4).

The coordinates of A' after the glide reflection (translation and reflection over y = 3) from A(-5, -4) are (1, -4), so the answer is A.

In a glide reflection, first apply a translation and then a reflection. Let's follow the given transformations step by step:

Translation: (x, y) → (x + 6, y)

This means you move the point A(-5, -4) six units to the right and keep the same y-coordinate. Applying the translation:

A' = (-5 + 6, -4)

    = (1, -4)

Reflection over the line y = 3:

In this reflection, points above the line will move below it and vice versa, while points on the line will remain unchanged.

Since the original point A(-5, -4) is below the line y = 3, its reflection A' will be above the line.

Therefore, the coordinates of A' are (1, -4) ,the correct option is A. (1, -4).

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A simple question I can't answer thnks yall

Answers

the factors would be (x-1)(9x+7)

so the answer would be A

What is the quotient of 78.3 ÷ 3.48?

Answers

The answer is 22.5. I hope this helps you.

Good luck with your work! 

The top of a rectangular table has an area of 100 square feet and width of 5 feet. What is the length in feet of the surface

Answers

The answer to this is 20. You can find the length by using the formula l=a/w

The length of the surface of the rectangular table that has an area of 100 sq. ft is: 20 ft.

What is the Area of a Rectangle?

Area of rectangle = (length)(width).

The table given has a rectangular surface.

Area of the rectangular table = 100 square feetWidth of the rectangular table = 5 feet

(length)(5) = 100

Length = 100/5

Length of the rectangular table = 20 feet.

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Personal Finance is a dead group.

How does the availability of credit in a community affect the housing market there?

The availability of credit has no affect on the housing market.

The less credit available, the higher the cost of housing.

The availability of credit determines whether or not people put their homes up for sale.

The more credit available, the higher the cost of housing.,

Answers

The answer is the more credit available, the higher the cost of housing. As more people are able to afford housing, it will increase the demand for housing. Since the supply of housing is largely stable in the short-term, this will cause higher housing costs.

BRAINLIESTTTTT ASAP!!!

Write x^2 − 2x − 3 = 0 in the form (x − a)^2 = b, where a and b are integers.

(x − 4)^2 = 3
(x − 3)^2 = 2
(x − 2)^2 = 1
(x − 1)^2 = 4

Answers

When the quadratic expression is x^2 +ax + ..., the binomial square will be
.. (x +(a/2)^2

You have a=-2, so the binomial square will be of the form (x -1)^2. You don't even need to work out the rest of it to know that ...
.. the 4th selection is appropriate.

PLEASE HELP ME ON THIS

BRAINLIEST AVAILABLE IF YOU ANSWER CORRECTLY

Answers

To know if the change is exponential, we only need to calculate the ratio between rent of each year with the preceding year.
The ratios are, for Beverly:
1.0171.0321.0541.058
for Lowell
1.051.051.051.05
So obviously Beverly is not exponential and Lowell is.


Match each problem (term) with its sum or difference (definition).

Term Definition

4.23 + 16.21 A) 26.09

42.3 + 1.621 B) 2.609

4.23 − 1.621 C) 20.44

42.3 − 16.21 D) 43.921

GET THIS RIGHT ILL GIVE U BRAINLIEST!!!!!!!

Answers

Each mathematical term has been calculated and the correct sum or difference matched with its definition: 4.23 + 16.21 matches with C) 20.44, 42.3 + 1.621 with D) 43.921, 4.23 - 1.621 with B) 2.609, and 42.3 - 16.21 with A) 26.09.

To match each mathematical term with its correct sum or difference, we simply perform the addition or subtraction:

4.23 − 1.621 = 2.609, so this term matches with definition B)

Each problem has been matched with its corresponding definition based on the results of the arithmetic operations.

Pls help.
Solve (6x^3-1x^2+1)/(2 x+1)
a. -3x^2+2x-1
b. 3x^2-2x+1
c. -3x^2+2x-1
d. 3x^2+2x-1,

Answers

Start by looking at the leading terms. The divisor's 2x goes into the dividend 6x^3 a 3x^2 number of times. Multiply this by the divisor and you get 6x^3+3x^2. Subtract from the dividend and get -4x^2. 2x goes into this -2x times. Multiply by the divisor and get -4x^2 - 2x. Subtract and get 2x. Bring down the 1 term yielding 2x+1. 2x+1 goes into 2x+1 only 1 time. Thus the quotient is 3x^2-2x+1 which is option b.

Which property justifies the following statement? If x=2,and y=3x-11, then y=3•2-11

Answers

Property of substation justifies that statement, as you replaced x with 2
substitution :))))))))))))))))))))

Compare the numbers in the following sequence and try to determine what the next number should be.
6, 9, 18, 21, 42, 45, ?

Now When i did the math I thought it might be 54 but I'm not sure can someone help me or tell me if I'm right!

Answers

If you examine the numbers in the question above very well, you will discover that thy have a distinctive pattern. The pattern is this, you add 3 to the first number and then you multiply the next by 2. Lets go over the numbers now:
6 + 3 = 9
9 * 2 = 18
18 + 3 = 21
21 * 2 = 42
42 + 3 = 45
45 * 2 = 90
90 + 3 = 93
93 * 2 = 186, etc.
Thus, the next number after 45 is 90. 

prove this trigonometric equation;

- tan^2x + sec^2x = 1,

Answers

Hey there :)

- tan²x + sec²x = 1    or    1 + tan²x = sec²x

sin²x + cos²x = 1 
Divide the whole by cos²x

[tex] \frac{sin^2x}{cos^2x} + \frac{cos^2x}{cos^2x} = \frac{1}{cos^2x} [/tex]

[tex] \frac{sinx}{cosx} = tanx[/tex] so [tex] \frac{sin^2x}{cos^2x} = tan^2x[/tex]
and
[tex] \frac{1}{cosx} = secx [/tex] so [tex] \frac{1}{cos^2x} = sec^2x[/tex]

Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}

1 = - tan²x = sec²x or sec²x - tanx = 1

This circle graph shows the results of a survey that asked people to identify their favorite type of music.

What percent of people chose rock or country as their favorite type of music?


9%

35%

45%

55%
A circle graph with 5 sections. The first section is labeled Rock 27 percent. The second section is labeled Hip Hop 28 percent. The third section is labeled Jazz 19 percent. The fourth section is labeled Country 18 percent. The fifth section is labeled Other 14 percent.

Answers

The answer is 45%.

Country or rock would be found by adding the two percentages:
18+27 = 45.

(Side note:  the percentages on this circle graph add up to 106%....)

Answer: C) 45


Hope Thsi Helps ^_^


make w the subject of the formula y-aw=2w-1

Answers

Answer: w = [ y + 1] / [a + 2]

Solution step by step:

1) given formula: y-aw=2w-1

2) transpose aw and - 1

2w + aw = y + 1

3) common factor w:

w (a + 2) = y + 1

4) divide both sides by (a + 2):

w = [ y + 1] / [a + 2]

Final answer:

To make w the subject of the formula y-aw=2w-1, rearrange the equation as follows: add aw to both sides, factor out w on the right side, add 1 to both sides, and then divide by (a+2). The final equation is w=(y+1)/(a+2).

Explanation:

The question is asking to rearrange the given formula y-aw=2w-1 to solve for the variable w. We can follow these steps:

Add aw to both sides of the equation to eliminate it on the left side. This gives us y=aw+2w-1. Factor out w from the right side. This gives us y=w(a+2)-1. Add 1 to both sides of the equation to eliminate it on the right side. This gives us y+1=w(a+2). Divide both sides of the equation by (a+2) to isolate w. This gives us w=(y+1)/(a+2).

Therefore, in the formula y-aw=2w-1, w=(y+1)/(a+2) when solved for w.

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Create an equation to model an investment of 5000 dollars which increases 15% each year. Set up an equation to solve for how long it would take for the investment to double. ( you do not need to solve this problem)

Answers

Initial amount = 5000
Interest rate = 1.15
The amount increases exponentially.
Then we get the following equation
[tex]5000 \times 1.15 {}^{t} [/tex]
In this formula t represents time.

The equation of doubling time
[tex]5000 \times 1.15 {}^{t} = 10000[/tex]
[tex]1.15 {}^{t} = 2[/tex]

URGENT!!!! You must create a 6-character password using the letters A-Z and the numbers 0-9. Characters may be repeated. How many possible passwords are there?

Answers

2,176,782,336 
hope this helps

In triangle abc, ac=10, bc=8, angle b =90 degrees and angle bda = 90. how long is line bd

Answers

the complete question in the attached figure

we know that
applying the Pythagorean theorem in triangle ABC
AC²=AB²+BC²----------> AB²=AC²-BC²---------> 10²-8²-------> AB²=36-----> AB=6

in the triangle ABC
tan a=BC/AB--------> 8/6--------> tan a=4/3
tan c=AB/BC--------> 6/8--------> tan c=3/4

in the triangle ABD
tan a=BD/AD---------> tan a=BD/x-------> BD=x*tan a
BD=x*(4/3)-----------> equation 1

in the triangle BDC
tan c=BD/DC------------------> BD=(10-x)*tan c------> BD=(10-x)*(3/4)
BD=(10-x)*(3/4)-------------> equation 2

equal 1 and 2
x*(4/3)=(10-x)*(3/4)------> 16x=9*(10-x)--------> 16x=90-9x----> 25x=90
x=90/25-----------> x=3.6
BD=x*(4/3)--------> BD=3.6*(4/3)---------->  BD=4.8 units

the answer is BD=4.8 units


Which of the following expression expressions is equivalent to cos3x/sinxcosx?

A.) cscxcos2x-secxsin2x
B.) secxcos2x-cscxsin2x
C.) secxcosx-cscxsinx
D.) cscxcosx-secxsinx

Answers

Answer:

A.) cscxcos2x-secxsin2x

Step-by-step explanation:

I'm sorry I really do not know how to solve this but I just did the quiz and b was not correct.

Final answer:

To find an expression equivalent to cos3x/sinxcosx, we use trigonometric identities and simplification to arrive at cscx - secx. Option D, cscx cosx - secx sinx, when expanded and simplified, is equivalent to cscx - secx, thus it is the correct answer.

Explanation:

The question asks us to find an expression equivalent to cos3x/sinxcosx. To start, let's simplify the given expression using trigonometric identities.

We can write cos3x as cos(2x+x), which by using the angle addition formula for cosine gives us cos(2x+x) = cos2x cosx - sin2x sinx. Now our expression looks like this: (cos2x cosx - sin2x sinx) / (sinx cosx).

The next step is to split the numerator to have two separate fractions: cos2x/sinx - sin2x/cosx. We can then recognize that cos2x/sinx is equivalent to 1/sinx or cscx, and -sin2x/cosx is equivalent to -1/cosx or -secx. Therefore, the equivalent expression is cscx - secx.

Comparing this result to the options given, option D, cscx cosx - secx sinx, expands to 1/sinx × 1 - 1/cosx × sinx, which can be simplified to cscx - secx. Thus, option D is the correct answer.

Bianca has 3:5 The ratio of the number of books Bianca has to the number books Chrissy has 10:11 If amy has 36 books how many books does Bianca have

Answers

Did you get your answer yet ? 

PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER

Answers

A(n) = 50 x (0.52)n-1; 13.52 cm

Explain why increasing the sample size tends to result in a smaller sampling error when a sample mean is used to estimate a population mean.

A. The above statement is incorrect, the sample size has no effect on the sampling error.
B. The larger the sample size, the more closely the possible values of \bar{x} cluster around the mean of \bar{x}
C. If the sample size is larger, the possible values of \bar{x} are farther from the mean of \bar{x},

Answers

B is the correct answer. The more values or samples you are able to add, the closer you come to approximating real life (although that is impossible) because you are more likely to have a cluster of values around the mean.

Sampling error is inversely proportional to the sample size which means if the sample size increases the sampling error decreases. Then option B is correct.

What is sampling error?

The amount of inaccuracy in the estimating value appears due to the smaller sample size.

The sample size tends to result in a smaller sampling error when a sample mean is used to estimate a population mean.

We know that the formula of the sampling error

[tex]\rm Sampling \ error = z \times \dfrac{\sigma}{\sqrt{n}}[/tex]

Sampling error is inversely proportional to the sample size which means if the sample size increases the sampling error decreases.

More about the sampling error link is given below.

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Please help simple math problem

Answers

The answer is supplementary angles, hopefully that helps.
The answer to your question is (C) VERTICAL ANGLES

When 2 lines intersect, they make vertical angles.
Vertical angles are congruent (equal).
Vertical angles are opposite one another.Supplementary angles add up to 180º = 40 degrees + 140 degrees = 180 degrees. Adjacent and Supplementary Angles = 120 + 60 = 180 degreesAdjacent angles are “side by side” and share a common ray. 130 degrees and 50 degrees.Complementary angles add up to 90º. = 60 degrees + 30 degrees = 90 degrees.




Combine and simplify these radicals. square root of 8 times square root of 20

Answers

sqrt(8) = sqrt(2 * 2 * 2) = 2 sqrt(2)
sqrt(20) = sqrt(2 * 2 * 5) = 2 sqrt(5)
Now multiply
2*sqrt(2) * 2 sqrt(5) 
= 2 * 2 * sqrt(2) * sqrt(5)
= 4 sqrt(10)

Answer:

√8 * √20 = 4√10

Step-by-step explanation:

√8 * √20= √(4*2) * √(4*5)

√8 * √20 = (√4)(√2)*(√4)(√5)

√8 * √20 = (2)(√2)*(2)(√5)

√8 *√20 = (2*2)(√2*√5)

√8 * √20 = (4)(√(2*5)

√8 * √20 = 4√10

Please help asap!!! 19 pts

Answers

the correct answer is b

How do I solve this problem?

Answers

In every case, the Pythagorean theorem applies.

The square of the hypotenuse is equal to the sum of the squares of the other two sides. You may need to do some addition or subtraction and root-taking to find the value of interest.

4. 6^2 = 4^2 +x^2
.. x = √(36 -16) = 2√5
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