You make a purchase at a local hardware store, but what you've bought is too big to take home in your car. For a small fee, you arrange to have the hardware store deliver your purchase for you. You pay for your purchase, plus the sales taxes, plus the fee. The taxes are 7.5% and the fee is $20. (i) Write a function t(x) for the total, after taxes, on the purchase amount x. Write another function f(x) for the total, including the delivery fee, on the purchase amount x. (ii) Calculate and interpret (f o t)(x) and (t o f )(x). Which results in a lower cost to you

Answers

Answer 1

Answer:

[tex]f(x) = 1.075x[/tex]

[tex]t(x) = x + 20[/tex]

[tex](f\ o\ t)(x) = 1.075x + 21.5[/tex]

[tex](t\ o\ f)(x) = 1.075x + 20[/tex]

Explanation:

Given

[tex]Tax = 7.5\%[/tex]

[tex]Fee = \$20[/tex] -- delivery

Solving (a): The function for total cost, after tax.

This is calculated as:

[tex]f(x) = Tax *(1 + x)[/tex]

Where:

[tex]x \to[/tex] total purchase

So, we have:

[tex]f(x) = x * (1 + 7.5\%)[/tex]

[tex]f(x) = x * (1 + 0.075)[/tex]

[tex]f(x) = x * 1.075[/tex]

[tex]f(x) = 1.075x[/tex]

Solving (b): Include the delivery fee

[tex]t(x) = x + Fee[/tex]

[tex]t(x) = x + 20[/tex]

Solving (c): (f o t)(x) and (t o f)(x)

[tex](f\ o\ t)(x) = f(t(x))[/tex]

We have:

[tex]f(x) = 1.075x[/tex]

So:

[tex]f(t(x)) = 1.075t(x)[/tex]

This gives:

[tex]f(t(x)) = 1.075*(x + 20)[/tex]

Expand

[tex]f(t(x)) = 1.075x + 21.5[/tex]

So:

[tex](f\ o\ t)(x) = 1.075x + 21.5[/tex]

[tex](t\ o\ f)(x) = t(f(x))[/tex]

We have:

[tex]t(x) = x + 20[/tex]

So:

[tex]t(f(x)) = f(x) + 20[/tex]

This gives:

[tex]t(f(x)) = 1.075x + 20[/tex]

We have:

[tex](f\ o\ t)(x) = 1.075x + 21.5[/tex] ---- This represents the function to pay tax on the item and on the delivery

[tex](t\ o\ f)(x) = 1.075x + 20[/tex] --- This represents the function to pay tax on the item only

The x coefficients in both equations are equal.

So, we compare the constants

[tex]20 < 21.5[/tex] means that (t o f)(x) has a lower cost


Related Questions

Which computer can be used where there is no regular electricity?​

Answers

Answer:

A mechanical computer

Explanation:

Created from gears and levers

Mary uploaded some images on her website. She chose an image and downloaded it. She found that the image she saw on screen did not seem to have the same DPI as when she had scanned it (she had uploaded a scanned image with 300 DPI). What could be reason with this visual decrease in DPI on the computer screen? (Correct Answer only)

A. Some image resolution was lost while uploading it
B. She downloaded a compressed version of the image.
C. The computer reset the resolution of the image.
D. Her file was probably corrupted while downloading.
E. Computer screens typically display images of only 72 DPI.

Answers

It could be A or B, with a guess that it’s A. Many websites require images to be compressed on uploading so that it takes less of the site’s database storage, but the wording leads me to believe it may be B. Any thoughts?

The reason for this visual decrease in DPI on the computer screen is some image resolution was lost while uploading it. The correct option is A.

What is resolution?

Resolution is the quality of the image that we see in the screen. It is the number of pixels per inch of space. The meaning of PPI is pixel per inch. When a high-resolution picture is seen, it means there are more pixels per inch.

When a picture is downloaded from a site. It does not download in the original pixels because during downloading some pixels are lost due to slow net or the settings of the computer. And a compressed version does not download on its own, and corrupted files do not affect the resolution.

Thus, the correct option is A. Some image resolution was lost while uploading it.

To learn more about resolution, refer to the link:

https://brainly.com/question/15189307

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You are in charge of installing a remote access solution for your network. You decide you need a total of four
remote access servers to service all remote clients. Because remote clients might connect to any of the four
servers, you decide that each remote access server must enforce the exact same policies. You anticipate that
the policies will change frequently.
What should you do? (Select two. Each choice is a required part of the solution.)
A. Configure network policies on the RADIUS server.
B. Make each remote access server a member of the RemoteServers group.
C. Configure the exact same network policies on each server.
D. Configure one of the remote access servers as a RADIUS server, and all other servers as RADIUS clients.
E. Use Group Policy to configure network policies in the default Domain Controllers GPO.
F. Configure each remote access server as a domain controller.

Answers

Answer: configure one of the remote access servers as a RADIUS server and all other servers as RADIUS clients

configure network access policies on the RADIUS server

Explanation:

Which of these is NOT an input device?
O keyboard
O mouse
O blinking light
O microphone

Answers

Blinking light is not one of the awansers

Help me why did my desktop erase every app I need that please

Answers

Answer:

Your computer is affected by a polymorphic or trojan horse virus, so install avast antivirus. Set your computer into safe mode, then open the antivirus

Answer:

your pc has virus

Explanation:

full form of ip ........?​

Answers

internet protocol - hope this helps!

Plz help help help


What was the first electromechanical digital computer?

For your kind information I would like to tell you that don't search on internet because it will show ENIAC and that is not the answer the answeris may be ABC or MARK I. I am just confused, Please help me

Answers

Explanation:

For your kind information the answer of the question is MARK I.

Answer:

What was the first electromechanical digital computer?

=⟩ Mark I was the first electromechanical digital computer.

Hope it helpful to you

if ur computer is runing slowly what is most likey to slove the problem

Answers

One way to solve this problem is if you clear up some storage space. On my computer things were running very slowly and I checked my storage and it was beyond full. Another way would be to clean up your hard drive, run some virus and malware scans as your computer may have some viruses that would be slowing it down. Some others ideas are to download more memory on your computer, install a faster hard drive, and reinstall or upgrade your operating system. I hope this helps!!
Reboot the device or clear your cache. Maybe it may need to go to a shop as well and get a few parts switched out

An online retailer is looking to implement an enterprise platform. Which component of the enterprise platform will help the company capture curate and consumer customer information?

Answers

Answer:

Data and Insights

Explanation:

In an enterprise platform, the data and insights are considered as one of the important aspect of any enterprise. It helps in better understanding of the customer so that the enterprise successfully offers best services to the customers.

Data are basically the information that enterprise can gather from the customers and insights are defined by gaining knowledge by analyzing these data so that the company can provide best customer service and it also helps them to capture curate as well as consumer information.

Thus the answer is 'data and insights'.

tiền tệ ra đời là kết quả

Answers

bruuh, wht is this man saying

Money was born as a result?

The program prompts the user for five to ten numbers all on one line, separated by spaces, calculates the average of those numbers, and displays the numbers and their average to the user.

The program uses methods to:

1) get the numbers entered by the user all on one line separated by spaces;

2) calculate the average of the numbers entered by the user; and

3) print the results.

The first method should take no arguments and return a String of numbers separated by spaces.

The second method should take a String as its only argument and return a double (the average).

The third method should take a String and a double as arguments but have no return value.

IF user input is: 20 40 60 80 100

Answers

Answer:  

import java.util.Scanner;  

public class AverageDemo

{  

public static String getNumbers()

{

 

 String numbers;  

 Scanner scn = new Scanner(System.in);  

 System.out.println("Enter five to ten numbers all on one line, separated by spaces: ");

 numbers = scn.nextLine();

 return numbers;

}  

public static double calcAverage(String numbers)

{

 String[] values = numbers.split(" ");

 double total = 0;  

 for (int i = 0; i < values.length; i++)

 {

  total += Integer.parseInt(values[i]);

 }  

 if (values.length == 0)

  return 0.0;

 else

  return (total / values.length);

}  

// Method definition of printResults: print the results

public static void printResults(String numbers, double average)

{

 System.out.printf("\nThe average of the numbers %s is %.2f\n", numbers, average);

}  

// main method

public static void main(String[] args)

{

 // Call the methods

 String numbers = getNumbers();

 double average = calcAverage(numbers);

 printResults(numbers, average);

}

}

Output:

PLS HELP ME WITH MY PYTHON HW

Answers

Answer:

name=input('What is your name?')

age=input('What is your age?')

school=input('What is your school?')

print('Hi '+ name +', you are '+ age +', and you go to '+school+'.')

age=int(input('What is your age?'))

if age > 10:

 print('You are a teenager')

for x in range(10):

 print(name)

country='United States or America'

print(country[17:24])

a_list = [0, 2, 4, 8]

maximum = max(a_list)

print(maximum)

minimum = min(a_list)

print(minimum)

numbers = [1, 3, 4, 2]

numbers.sort()  

print(numbers)

Tristen is teaching her history course. She printed off her presentation so the students could take notes. Wyatt is
teaching a science course. He wants to make sure students who do not have PowerPoint can still view the
presentation. Reed is teaching a math course online. He finds the students are very visual and wants to control the
timing per slide
Which best describes how each teacher handled their presentations?
O Tristen created handouts, Wyatt saved as a PDF, and Reed saved as a video
O Tristen created a video, Wyatt saved as a PDF, and Reed broadcasted.
O Tristen created handouts, Wyatt saved as a video, and Reed saved as a PDF.
O Tristen created a video, Wyatt broadcasted, and Reed saved as a video

Answers

Since Tristen want her students to take notes on her presentations, she should have some sort of handout.

Because Wyatt, wants to ensure that students who do not have PowerPoint can still view his presentations, converting it into a pdf is best.

Since Reed's students are very visual, converting his slides into a video will make it better for students who want to spend some time assessing some of the graphs or equations.

Thus, A is the best choice.

20 points!!!!! Plz answer quickly

Answers

Answer:

other words are not clear

A logistics company's vulnerability scan identifies the following vulnerabilities on Internet-facing devices in
the DMZ: SQL injection on an infrequently used web server that provides files to vendors SSL/TLS not used for a website that contains promotional information
The scan also shows the following vulnerabilities on internal resources: Microsoft Office Remote Code Execution on test server for a human resources system
TLS downgrade vulnerability on a server in a development network In order of risk, which of the following should be patched FIRST?
A. Microsoft Office Remote Code Execution
B. SQL injection
C. SSL/TLS not used
D. TLS downgrade

Answers

Answer:

A. Microsoft Office Remote Code Execution

Explanation:

From the given options, we have;

The web server having a SQL injection is infrequently use

The information on the website having SSL/TLS not used is promotional

The location of the server having  a TLS downgrade is on a development network

The location of the Microsoft Office Remote Code Execution is on a human resource system test server

Therefore, given that the test server, is the deployment source of the main server, and that with a Remote Code Execution, RCE,  cyber attack, the attacker is able to make commands work on other computers, the RCE attack on the test server is a potential access of an attack on the main servers, and should be patched first.

monitor is hard copy output device??
false
true​

Answers

Answer:

false

Explanation:

monitor is an output device but not hard copy. Hard copy is paper

write a c program to display the series: 1,8,27,64,125​

Answers

num_list = [1, 8, 27, 64, 125]

for x in range ( len( num_list) ) :

print (num_list[x])

You have been asked to help a small office with a limited budget set up and configure a Windows network. There are only five computers in this office. In addition to the ability to share network resources, security is a top priority.
Which of the following is the BEST course of action in this situation?
A. Install a HomeGroup to provide a single login and simplify security and sharing.
B. Install a WorkGroup to provide a single login and simplify security and sharing.
C. Install a WorkGroup to allow each device to control what is shared and with whom.
D. Install a HomeGroup to allow each computer to control which items are shared and who can access them.

Answers

Answer:

I will choose a option tin best

Answer: Install a WorkGroup to allow each device to control what is shared and with whom.

Explanation:

describe in detail what each step would look like if you ran into a software error.

Answers

Answer:

First you have to identify the problem.

Second Gather information.

Third iterate through potential solutions.

Fourth Test your solution.

Explanation:

There are many different ways to handle errors in software but this is the way I do it.

Hope this helps :)

After running into a software error, a user needs to first determine the reason for the error, work towards a solution and then execute the solution discovered.

Software Error

A software error occurs when an error or unusual behaviour is observed in a piece of software and which can be reproduced after certain actions are performed that are in line with the stated rules of the software developer. In other words, a software error does not occur if the software was not used as directed by the software developer.

You can learn more about software errors here https://brainly.com/question/18497347

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What does RoHS stand for and why is RoHS compliance important?

Answers

Answer:

It stands for Restriction of Certain Hazardous Substances.

Web search says it is important because,

RoHS compliance dovetails into WEEE by reducing the amount of hazardous chemicals used in electronic manufacture. Put another way, RoHS regulates the hazardous substances used in electrical and electronic equipment, while WEEE regulates the disposal of this same equipment.

Explanation:

Marcus White has just been promoted to a manager. To give him access to the files that he needs, you make his user account a member of the Managers group, which has access to a special shared folder. Later that afternoon, Marcus tells you that he is still unable to access the files reserved for the Managers group. What should you do

Answers

Answer:

log off of his account and log back in

Explanation:

The first thing that Marcus should do would be to log off of his account and log back in. This is so that the new changes to his permissions can take effect. This should solve his problem and grant him access to all the permissions available in the Managers Group. If this does not work, then it is most likely that he is still in the previous group which has the Manager level permissions blocked. In this case he would need to leave the previous group that he is in because the blocking permissions overrides the access allowed from the Managers group.

1. Answer the following questions: a. What are the different types of number system? Name them.​

Answers

Answer:

binary,decimal, hexadecimal and octal number system

Predict the output... LET A= -20.50 LET B = ABS(A) PRINT B END​

Answers

Answer:

full and then I would like this

4. Calculate the standard deviation for the following data set: Foundations of Technology Engineering byDesi OITEEA . . Data Set = 4, 14, 6, 2, 7, 12 217 ,​

Answers

Answer:

[tex]\sigma_x = 5.68[/tex]

Explanation:

Given

[tex]x = 4, 14, 6, 2, 7, 12 2,17[/tex]

Required

The standard deviation

First, calculate the mean

[tex]\bar x =\frac{\sum x}{n}[/tex]

So, we have:

[tex]\bar x = \frac{4+ 14+ 6+ 2+ 7+ 12 +2+17}{8}[/tex]

[tex]\bar x = \frac{64}{8}[/tex]

[tex]\bar x = 8[/tex]

The standard deviation is:

[tex]\sigma_x = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}[/tex]

So, we have:

[tex]\sigma_x = \sqrt{\frac{(4 - 8)^2+ (14 - 8)^2+ (6 - 8)^2+ (2 - 8)^2+ (7 - 8)^2+ (12 - 8)^2+ (2 - 8)^2+ (17 - 8)^2}{8-1}}[/tex]

[tex]\sigma_x = \sqrt{\frac{226}{7}}[/tex]

[tex]\sigma_x = \sqrt{32.2857}[/tex]

[tex]\sigma_x = 5.68[/tex]

16. Which of the following is true about function return statements? A) A function can hold multiple return statements, but only one return statement executes in one function call. B) A function can hold only one return statement. C) A function can hold multiple return statements, and multiple return statements can execute in one function call. D) A function can have maximum of two return statements.

Answers

Answer:

A) A function can hold multiple return statements, but only one return statement executes in one function call

Explanation:

This is because each function can only return one value, whether it be an integer, String, or other object.

However, you can have a series of if-else statements, or case statements, to return a different value depending on information (within parameters, or variables.

Excellent. So, you can have multiple return statements, but the function will only end up executing one of these return statements and return a single value.

Hope this helps!

The statement "When there are multiple return statements but one return statement should execute the 1 function call" is true.

The following information should be considered:

This can be done as every function has only a return i.e. one value. It can be an integer, string, or any other thing. The function can't hold only 1 return statement.The function can't hold many return statements that execute one function call. The function can't have the utmost 2 return statements.

Therefore, we can conclude that option A is correct.

Learn more about the function here: brainly.com/question/12431044

Abdullah wants to send sessitive data. Abdullah wants to make sure that only ahmed can see and read this. How can abdullah protect this data, so that ahmed can only access it. By using this information make an algorithm.

Answers

Answer:

Use an encryption algorithm

Explanation:

An encryption algorithm can be used to hide the message from parties in-between or any third parties that might want to intercept the message being sent by Abudullah to Ahmed.

Encryption algorithms use cryptographic methods to encrypt or code data such that only the sender and receiver of that data have the keys to properly decode/decrypt these messages/data.

why the internet is not policed​

Answers

Answer:

The Internet allows people to circumvent law by committing criminal acts from areas where their activities are not illegal. Those areas will always exist, and thus new regulations will be just as ineffective as the old ones are ["Net Needs Law Enforcement, Author Says,"]. But Internet traffic is marked with IP addresses, and those addresses can be tied to specific networks with specific locations. Shouldn't it be possible to separate traffic based on the originating network and treat data coming from relatively insecure locations differently than data coming from relatively secure locations? It would be much harder for someone in a rogue nation to hack a network if he had to hack an intermediary network first. And unlike government regulation, which has zero impact in areas where these threats are likely to originate, separating traffic by location might actually work

How can computer be beneficial in agriculture and tourism​

Answers

The production capacity in farming and animal husbandry has increase due to use of computer in agriculture field . There are less losses due to work are monitored by computer. By using computer in traditional field like agricultural field we can increase the productivity and minimize the error happen.

What is malware? a type of virus that spreads through a network connection a type of virus that targets programs and files any program designed to do harm a type of software designed to track activity online

Answers

Answer:

any program designed to do harm.

Explanation:

Malware is a program that was created by someone with malicious intent. Malware can target your windows system files and damage windows(or what ever os you use). Malware can corrupt files and even lock you out of your computer.

Helpppppppppppppphuhuh

Answers

Answer:

B

Explanation:

You listed this as Computers and Technology where we post coding questions, or hardware related things, but ok.

If there is 7/8 jugs as the starting amount, and they have a 1/2 jug, dividing 0.875 by 0.5 gives the answer of 1.75 or 1 3/4.

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