2. Danielle needs 550 copies of her resume printed. Dakota Printing charges $24.50 for the first 250 copies and $12.50 for every 100 additional copies. a. How much will 550 copies cost, including a sales tax of 9 1⁄2 %? Round to the nearest cent. b. If the number of sets of 100 resumes is represented by r, express the cost of the resumes, c(s), algebraically as a piecewise function.

Answers

Answer 1

Answer:

[tex](a)\ Total = \$67.89[/tex]

[tex](b)[/tex]

[tex]c(r) = 24.50(1.095)[/tex] ----- [tex]r \le 2[/tex]

[tex]c(r) = [24.50 + (r - 2)*12.50] * [1.095][/tex] ---- [tex]r > 2[/tex]

Explanation:

Given

[tex]Copies = 550[/tex]

[tex]First\ 250 = \$24.50[/tex]

[tex]Every\ extra\ 100 = \$12.50[/tex]

Solving (a): Cost of 550 copies

We have:

[tex]First\ 250 = \$24.50[/tex]

This means that, there are 300 copies left (i.e. 550 - 250)

[tex]Every\ extra\ 100 = \$12.50[/tex]

There are 3 hundreds in 300

So, the cost of the 300 copies is:

[tex]300\ copies = 3 * \$12.50 =\$37.50[/tex]

[tex]Total_{(Before\ Tax)} = First\ 250 + 300\ copies[/tex]

[tex]Total_{(Before\ Tax)}= \$24.50 + \$37.50[/tex]

[tex]Total_{(Before\ Tax)} = \$62.00[/tex]

Apply sales tax of 9.5%

[tex]Total = Total_{(Before\ Tax)} *(1 + Sales\ Tax)[/tex]

[tex]Total = \$62.00 *(1 + 9.5\%)[/tex]

Express percentage as decimal

[tex]Total = \$62.00 *(1 + 0.095)[/tex]

[tex]Total = \$62.00 *(1.095)[/tex]

[tex]Total = \$67.89[/tex]

Solving (b): The piece wise function

From the question, we understand that the first 250 cost $24.50

First, we calculate the number of 100s in 250

[tex]r = \frac{250}{100}[/tex]

[tex]r =2.5[/tex]

r must be an integer; So, we round down

[tex]r =2[/tex]

This means that there are 2 whole hundreds in 150.

So, the first function (before tax) is:

[tex]c(r) =24.50[/tex] ---- [tex]r \le 2[/tex]

For every other 100 after the first 250

The charge is:

Charge = First 250 + Number of 100s * 12.50

r has a maximum value of 2 for the first 250, this means that the next copies of 100s will have a factor of r - 2

So, the next function (before tax) is:

[tex]c(r) = 24.50 + (r - 2) * 12.50[/tex] ----- [tex]r > 2[/tex]

At this point, we have:

[tex]c(r) =24.50[/tex] ---- [tex]r \le 2[/tex]

[tex]c(r) = 24.50 + (r - 2) * 12.50[/tex] ----- [tex]r > 2[/tex]

Apply sales tax of 9.5%

[tex]c(r) = 24.50(1.095)[/tex] ----- [tex]r \le 2[/tex]

[tex]c(r) = [24.50 + (r - 2)*12.50] * [1.095][/tex] ---- [tex]r > 2[/tex]


Related Questions

Imagine that you have been tasked with presenting an overview of treatments for someone who
has mild depression. Describe how each of the following approaches would attempt to treat a
person with depression. Then, conclude the best course of treatment.
Rational emotive behavior therapy
Cognitive-behavioral therapy
Behavioral therapy
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There are many types of therapy available. Three of the more common methods used in depression treatment include cognitive behavioral therapy, interpersonal therapy, and psychodynamic therapy. Often, a blended approach is used

The ratio of carbon 14 to nitrogen-14 in an artifact is 13. Given that the half-
life of carbon-14 is 5730 years, how old is the artifact?
A. 17,190 years
B. 22,920 years
C. 11,460 years
D. 5730 years

Answers

Answer:5730 D

Explanation:

Radiocarbon dating (usually referred to simply as carbon-14 dating) is a ... Dating: Using Radioactivity to Measure the Age of Fossils and Other Artifacts ... Carbon-14 has a relatively short half-life of 5,730 years, meaning that the ... over the course of 5,730 years due to radioactive decay to nitrogen-14.

At a large university, 20% of a random sample of male students have an overall grade point average (GPA) of 3.5 or higher. A random sample of female student records found that 25% had a GPA of 3.5 or higher. The president of the university wants to determine whether there is evidence of a difference in grades between males and females. What would she write as the null and alternative hypotheses for this situation?
Answer choices
H0:p1 − p2 = 0 and Ha:p1 − p2 ≠ 0
H0:p1 − p2 = 0 and Ha:p1 − p2 > 0
H0:p1 − p2 = 0 and Ha:p1 − p2 < 0
H0:p1 − p2 > 0 and Ha:p1 − p2 = 0
H0:p1 − p2 > 0 and Ha:p1 − p2 ≠ 0

Answers

Answer:

H0:p1 − p2 = 0 and Ha:p1 − p2 ≠ 0

Explanation:

Null hypothesis would be there not being a difference, so the difference would be 0.

Alternative hypothesis would be that there is a difference. However, the president of the university does not want to determine whether more males than females, or more females than males, get a GPA of 3.5 or higher, so the alternative hypothesis is =/= 0.

Peroxidase is an enzyme found in many organisms, from plant to humans. The function of peroxidase is to break down hydrogen peroxide, which is a toxin produced as a byproduct when oxygen is produced during respiration. Lactoperoxidase is found in human tissues, glands, and secretions, such as milk, tears, and saliva. It plays an important role in defense against pathogenic microorganisms in the intestinal tract of newborn infants and a protective role in sterility of secretions for the respiratory tract. For lactoperoxidase to function properly, thiocyanate is needed.


A- Identify two examples of environmental factors that may impact salivary peroxidase activity. Describe how each of the environmental factors would affect the reaction rate of the enzyme.

B- Predict the effects of defects in the thiocyanate transport channels. Provide reasoning to justify your prediction.

Answers

Answer:

A) two examples of environmental factors that may impact salivary peroxidase activity are pH and temperature. All enzymes have an ideal pH range. When the environment has a pH in that specific range, the enzymatic reaction rate will be the fastest. However, when the environment deviates from the pH range, the enzyme's reaction rate will be slower. Furthermore, when the pH is too far off that ideal pH range, then the salivary peroxidase may denature and unravel, due to it being a protein. Another factor is temperature. When temperature is higher, the reaction rate increases. However, when the temperature is lower, the reaction rate decreases. However, when the temperature gets too high, then the enzyme may denature.

B) The effects of defects in the thiocyanate transport channels would be for lactoperoxidase to not be able to function properly, causing defects in the defense against pathogenic microorganisms in the intestinal tract of newborn infants and defects in sterility of the secretions for the respiratory tract.  

In order for lactoperoxidase to function properly, thiocyanate is necessary. Because of this, Therefore, thiocyanate is likely a cofactor, allowing for lactoperoxidase to function.

Because of this, if the thiocyanate transport channels are defective, thiocyanate can likely not reach the lactoperoxidase, and can therefore not bind to it. This defect in the transport channels would mean that thiocyanate cannot carry out its necessary function of activating lactoperoxidase.

A special interest group wants the federal government to increase pollution controls on manufacturing plants.

(A) Describe how the free-rider effect will affect the group's success.

(B) In the context of the scenario, explain how the interest group will attempt to influence the legislative process.

(C) In the context of the scenario, explain why the interest group might try to seek its policy goals through the bureaucracy rather than through Congress.

Answers

Answer:

Here's what I put. I don't have a grade yet but I've been getting almost all 100%'s.

Explanation:

A) The free-rider effect is defined as a "type of market failure that occurs when those who benefit from resources, public goods (such as public roads or hospitals), or services of a communal nature do not pay for them[1] or under-pay. Free riders are a problem because while not paying for the good (either directly through fees or tolls or indirectly through taxes), they may continue to access or use it. Thus, the good may be under-produced, overused or degraded." This effect will negatively affect the group's success because the government is happy to look the other way and collect the tax benefits (among other things) that the factories give the government. The government benefits from the factories, so they wouldn't really have an incentive to take the group seriously.

B) The interest group might try to influence the legislative process by convincing multiple different representatives in Congress to support their idea and/or introduce the idea as a bill. If they get enough of them to support their idea, they will have a few guaranteed votes, and there will be a larger chance that more representatives will support this idea.

C) The interest group might try to seek its policy goals through the bureaucracy rather than through Congress because their idea doesn't necessarily need to be a law. The higher-up government officials in multiple different areas are the ones who are able to make the most difference because there isn't the issue of a divided House and Senate. They can also usually make changes much more quickly than Congress can

A convex lens has a focal length of 0.33 m. The object distance is 0.7 m. What is the image distance?

Answers

Answer: 0.45

Explanation:

1. Carol owns Virgil’s Electrical Corporation. She needs an electrician and is placing a nine line classified ad. The cost of an ad that is x lines long is given by the following piecewise function. Find the cost of a nine-line ad. 28 when 3 ( ) 28 4( 3) when 3 x c

Answers

Answer:

The cost of 9 line ad is #52

Explanation:

Given

[tex]f(x) = 28[/tex] --- [tex]x \le 3[/tex]

[tex]f(x) = 28 + 4(x - 3)[/tex] --- [tex]x > 3[/tex]

Required

The cost of a 9 line ad

This means that:

[tex]x = 9[/tex]

To calculate the cost, we make use of:

[tex]f(x) = 28 + 4(x - 3)[/tex] --- [tex]x > 3[/tex]

Because [tex]9 > 3[/tex]

So, we have:

[tex]f(x) = 28 + 4(x - 3)[/tex]

[tex]f(9) = 28 + 4 * (9 - 3)[/tex]

[tex]f(9) = 28 + 4 * 6[/tex]

[tex]f(9) = 28 + 24[/tex]

[tex]f(9) = 52[/tex]

which of these expressions or phrases can be used to represent the model choose all the correct answers. NO FILES PLZ

Answers

Answer:

Explanation:

What does the diagram show about tax revenue?
The most revenue comes from individual and payroll
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The least revenue comes from individual and
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The most revenue comes from payroll and corporate
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The least revenue comes from payroll and other
taxes.

Answers

Answer:

a on edge

Explanation:

The diagram shows that the most revenue comes from individual and payroll taxes. Thus, the correct option for this question is A.

What is Tax revenue?

Tax revenue may be defined as the revenues which are correspondingly collected from the individuals of any country on their income and profits, social security contributions, taxes levied on goods and services, payroll taxes, taxes on the ownership and transfer of property, and other taxes.

It is generally collected by the government of the country through taxation which is the fundamental source of revenue for the government. It is a type of compulsory payment that is made to the government by households, firms, or any other institutional units. There are two kinds of tax revenues that exist. It includes direct and indirect tax

Therefore, the diagram shows that the most revenue comes from individual and payroll taxes. Thus, the correct option for this question is A.

To learn more about Tax revenues, refer to the link:

https://brainly.com/question/28015553

#SPJ7

follow my i-g (im lonely)

kris_certified

Answers

me too lol. and okay

. In the "Bella" section, why does the author include the detail, "Bella didn't know what a fire drill was"?

A: to show that Bella was not as educated as Jane

B: to explain why Signor Carlotti looked down on Bella

C: to explain what had caused the fire to spread

D: to show that there had been no fire drills at the factory​

Answers

Answer: D. : to show that there had been no fire drills at the factory.

Explanation:

In the "Bella" section, the author included the detail that "Bella didn't know what a fire drill was" because there had been no fire drills at the factory.

Since a fire drill hasn't ever taken place, Bella had no idea about what it was. The author including the details wasn't to show that Bella wasn't as educated as Jane nor was it to explain the reason for the spread of the fire.

Therefore, the correct option is D

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How does the word snuffed add to the meaning of the line?


It creates the image of a calm death.


It illustrates the author's use of alliteration.


It shows how quickly and violently death occurs in nature.


It allows the reader to imagine what death is like.

Answers

Answer:

i think  C

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What is the difference between open bar and set up and limited bar set up?

Answers

Answer:

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Answers

Answer:

D

Explanation:

Answer:A

Explanation:took the quiz

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Answers

Answer:

George Washington

Explanation:

On April 30, 1789, George Washington, standing on the balcony of Federal Hall on Wall Street in New York, took his oath of office as the first President of the United States

George Washington it is easy

Insert any 3 pictures of fauna and 3 pictures of flora found in any three continents of your choice​

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If i fail an advanced class in Orlando Florida, do I have to do summer school?

Answers

Answer:

Maybe but I hope not

Explanation:

Answer:

I did some research and yes if you do fail an advanced class, you will need to go to summer school and retake the subject depending on which one you failed. Good luck though! :)

Explanation:

Evaluate the extent to which industrialization fundamentally altered people's way of life?

Answers

Answer:

Industrialization fundamentally altered the production of goods around the world. It not only changed how goods were produced and consumed, as well as what was considered a "good", but it also had far-reaching effects on the global economy, social relations, and culture.

Difference between hinterland and market area in AP Human Geography

Answers

Answer:

Explanation:

Market area (or Hinterland) The area surrounding a central place, from which people are attracted to use the place's goods and services. Nonbasic industries. Industries that sell their products primarily to consumers in the community. While, Hinterland, also called Umland, tributary region, either rural or urban or both, that is closely linked economically with a nearby town or city.

Ocean tides are predictable because

the orbit of the moon and Earth, as well as the rotation of the Earth are well known.

The same side of the moon always faces the Earth.


The Earth revolves around the moon in a predicable pattern.

The sun revolves around the Earth in a predictable pattern.

Answers

Answer: the orbit of the moon and Earth, as well as the rotation of the Earth are well known.

Explanation:

Tides are as a result of the gravitational impact of both the Sun and the Moon on the Earth. Indeed, not only the ocean experiences this effect as land does too but because the water is more fluid, it reacts more thereby causing tidal waves in the oceans and seas.

Because we know the rotation of the Earth and the orbit of the moon however (and therefore when a certain part of the Earth will be imparted by the Sun or the Moon), we are able to predict these tidal waves with high accuracy.

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