This assignment consists of two (2) sections: a written paper and a PowerPoint presentation. You must submit both sections as separate files for the completion of this assignment. Label each file name according to the section of the assignment it is written for. In the day-to-day operations of information security, security professionals often focus the majority of their time dealing with employee access issues, implementing security methods and measures, and other day-to-day tasks. They often neglect legal issues that affect information security. As a result, organizations often violate security-related regulations and often have to pay heavy fines for their non-compliance. Thus, as a Chief Information Officer in a government agency, you realize the need to educate for senior leadership on some of the primary regulatory requirements, and you realize the need to ensure that the employees in the agency are aware of these regulatory requirements as well. Section 1: Written Paper 1. Write a six to eight (6-8) page paper in which you: a. Provide an overview that will be delivered to senior management of regulatory requirements the agency needs to be aware of, including: i. FISMA ii. Sarbanes-Oxley Act iii. Gramm-Leach-Bliley Act iv. PCI DSS v. HIPAA vi. Intellectual Property Law b. Describe the security methods and controls that need to be implemented in order to ensure compliance with these standards and regulatory requirements. c. Describe the guidance provided by the Department of Health and Human Services, the National Institute of Standards and Technology (NIST), and other agencies for ensuring compliance with these standards and regulatory requirements. d. Use at least five (5) quality resources in this assignment. Note: Wikipedia and similar Websites do not qualify as quality resources. Your written paper must follow these formatting requirements: Be typed, double spaced, using Times New Roman font (size 12), with one-inch margins on all sides; references must follow APA or school-specific format. Check with your professor for any additional instructions. Include a cover page containing the title of the assignment, the student’s name, the professor’s name, the course title, and the date. The cover page and the reference page are not included in the required page length. Section 2: PowerPoint Presentation 2. Create an eight to ten (8-10) slide security awareness PowerPoint presentation that will be presented to the agency’s employees, in which you: a. Include an overview of regulatory requirements and employee responsibilities, covering: i. FISMA ii. Sarbanes-Oxley Act iii. Gramm-Leach-Bliley Act iv. PCI DSS v. HIPAA vi. Intellectual Property Law Your PowerPoint presentation must follow these formatting requirements: Include a title slide, six to eight (6-8) main body slides, and a conclusion slide.
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Array Operations
1 initialize(parameters) Takes an array of integers and initialize each element with a random number between 1 and 10. Use: Create an array of 10 integers in the main method, and pass the array to this method for initialization. 2 printArray (parameters) Takes an array of integers and prints the contents of the array one element in each line. Use: Pass the array created in item#1 to this f method. 3 reverseArray (parameters) Reverse contents of a given array of integers. Use: Pass the array created in item#1 to this method to reverse its contents, and then pass it to method printArray( …) to print its contents. 4 sumArray (parameters) Takes two arrays of integer with the same size, and sum elements of 0 to j of the first array, and put the result into j element of the second array. For example, if first array is {4, 6, 3, 5}; the contents of the second array will be {4, 10, 13, 18} Use: create a new array of integers with the same size of the array created in item#1. Pass both arrays to this method, and print the content of the second array 5 itilialize (parameters) Create another method initialize() (overload method created in item1) to take an array of integers and two values downLimit and upLimit to initialize each elements of the array to a random number between downLimit and upLimit. (Think about generalization) Use: Create a new array of integers with the 50 elements and initialize its contents to a random value between 10 to 20. 6 countArray (parameters) Takes the array created in item#5, and counts how many times each number occurred in the array, and then print the result. For example: if the given array is {12, 11, 15, 12, 11, 12} then the output should be 11 occurs = 2 12 occurs = 3 12 occurs = 1 7 readArray (parameters) Create an array of 256 characters , and read a message character by character from keyboard and store them in the array up to 256 symbols.(Use sample code for lab#6 to read a message from keyboard character by character). The method should return number of the characters stored in the array. Note: We will talk about partially filled array next week. 8 printOneInLine(parameters) Pass the array created in item 7 to print each word of the message in a line. Note 2: The main method of the program should look something like the following code. public static void main(String[] args) { int[] arrItem1 = new int[10]; int arrItem4 = new int[10]; int arrItem5 = new int [50]; char arrItem7 = new char[256]; int size; initialize(arrItem1); // Item 1 printArray(arrItem1); // Item 2 reverseArray(arrItem1); // Item 3 printArray(arrItem1); sumArray(arrItem1); // Item 4 printArray(arrItem4); initialize(arrItem5, 10, 20); // Item 5 countArray(arrItem5); // Item 6 readArray(arrItem7); // item 7 printOneInLine(arrItem7); // item 8 } Note 3: We will continue discussion on arrays this week. Note 4: Remember that this lab will be marked from 80. Note 5: Write your algorithm in pseudo code only for items 3, 4, 6, and 8.
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A+ Work
Imagine you are an executive for BP, and you are preparing a presentation for the board of directors about the organization’s direction.
Create a 10- to 15-slide Microsoft® PowerPoint® presentation, with speaker notes, in which you address the following:
•Evaluate the planning function of management as it relates to the organization’s goals and strategies. Use steps in the planning process outlined in the text.
•Analyze the influence that legal issues, ethics, and corporate social responsibility have had on management planning at BP. Provide at least one example for each.
•Analyze at least three factors that influence the company's strategic, tactical, operational, and contingency planning.
Format your paper consistent with APA guidelines.
Create a 10- to 15-slide Microsoft® PowerPoint® presentation, with speaker notes, in which you address the following:
•Evaluate the planning function of management as it relates to the organization’s goals and strategies. Use steps in the planning process outlined in the text.
•Analyze the influence that legal issues, ethics, and corporate social responsibility have had on management planning at BP. Provide at least one example for each.
•Analyze at least three factors that influence the company's strategic, tactical, operational, and contingency planning.
Format your paper consistent with APA guidelines.
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Write a program that administers and grades quizzes
Write a program that administers and grades quizzes. A quiz consists of questions. There are four types of questions: text questions, number questions, choice questions with a single answer, and choice questions with multiple answers. When grading a text question, ignore leading or trailing spaces and letter case. When grading a numeric question, accept a response that is approximately the same as the answer.
A quiz is specified in a text file. Each question starts with a letter indicating the question type (T, N, S, M), followed by a line containing the question text. The next line of a non-choice question contains the answer. Choice questions have a list of choices that is terminated by a blank line. Each choice starts with + (correct) or - (incorrect).
Here is a sample file:
T Which Java keyword is used to define a subclass?
extends
S What is the original name of the Java language?
- *7
- C--
+ Oak
- Gosling
M Which of the following types are supertypes of Rectangle?
- PrintStream
+ Shape
+ RectangularShape
+ Object
- String
N What is the square root of 2?
1.41421356
Your program should read in a quiz file, prompt the user for responses to all questions, and grade the responses. Follow the design process that was described in this chapter.
Here is a sample program run:
T Which Java keyword is used to define a subclass?
input: sub
S What is the original name of the Java language?
A) *7
B) C--
C) Oak
D) Gosling
input: C
M Which of the following types are supertypes of Rectangle?
A) PrintStream
B) Shape
C) RectangularShape
D) Object
E) String
Select all that apply:
input: BCD
N What is the square root of 2?
input: 4
Which Java keyword is used to define a subclass?
Correct answer: extends
Your answer: sub
Your answer was not correct.
What is the original name of the Java language?
A) *7
B) C--
C) Oak
D) Gosling
Correct answer: C
Your answer: C
Your answer was correct.
Which of the following types are supertypes of Rectangle?
A) PrintStream
B) Shape
C) RectangularShape
D) Object
E) String
Correct answer: BCD
Your answer: BCD
Your answer was correct.
What is the square root of 2?
Correct answer: 1.41421356
Your answer: 4
Your answer was not correct.
Use the following class as your main class:
import java.io.FileReader;
import java.io.IOException;
import java.util.ArrayList;
import java.util.Scanner;
public class QuizRunner { public static void main(String[] args)
throws IOException { Quiz q = new Quiz();
Scanner in = new Scanner(new FileReader("quiz.txt"));
q.read(in);
in.close();
in = new Scanner(System.in);
ArrayList questions = q.getQuestions();
ArrayList answers = new ArrayList();
for (Question qu : questions)
{ System.out.println(qu.getText());
String answer = in.nextLine(); answers.add(answer); }
boolean[] results = q.checkAnswers(answers);
for (int i = 0; i < results.length; i++) { System.out.println() ; System.out. println(questions.get(i).getText());
System.out.println("Correct answer: " + questions.get(i).getAnswer()); System.out.println("Your answer: " + answers.get(i));
System.out.print("Your answer was ");
if (!results) { System.out.print("not "); }
System.out.println("correct.");
} } }
You need to take an OO approach to the code.
text to be read from file
T
Which Java keyword is used to define a subclass?
extends
S
What is the original name of the Java language?
- *7
- C--
+ Oak
- Gosling
M
Which of the following types are supertypes of Rectangle?
- PrintStream
+ Shape
+ RectangularShape
+ Object
- String
N
What is the square root of 2?
1.41421356
Here is a sample file:
T Which Java keyword is used to define a subclass?
extends
S What is the original name of the Java language?
- *7
- C--
+ Oak
- Gosling
M Which of the following types are supertypes of Rectangle?
- PrintStream
+ Shape
+ RectangularShape
+ Object
- String
N What is the square root of 2?
1.41421356
Your program should read in a quiz file, prompt the user for responses to all questions, and grade the responses. Follow the design process that was described in this chapter.
Here is a sample program run:
T Which Java keyword is used to define a subclass?
input: sub
S What is the original name of the Java language?
A) *7
B) C--
C) Oak
D) Gosling
input: C
M Which of the following types are supertypes of Rectangle?
A) PrintStream
B) Shape
C) RectangularShape
D) Object
E) String
Select all that apply:
input: BCD
N What is the square root of 2?
input: 4
Which Java keyword is used to define a subclass?
Correct answer: extends
Your answer: sub
Your answer was not correct.
What is the original name of the Java language?
A) *7
B) C--
C) Oak
D) Gosling
Correct answer: C
Your answer: C
Your answer was correct.
Which of the following types are supertypes of Rectangle?
A) PrintStream
B) Shape
C) RectangularShape
D) Object
E) String
Correct answer: BCD
Your answer: BCD
Your answer was correct.
What is the square root of 2?
Correct answer: 1.41421356
Your answer: 4
Your answer was not correct.
Use the following class as your main class:
import java.io.FileReader;
import java.io.IOException;
import java.util.ArrayList;
import java.util.Scanner;
public class QuizRunner { public static void main(String[] args)
throws IOException { Quiz q = new Quiz();
Scanner in = new Scanner(new FileReader("quiz.txt"));
q.read(in);
in.close();
in = new Scanner(System.in);
ArrayList questions = q.getQuestions();
ArrayList answers = new ArrayList();
for (Question qu : questions)
{ System.out.println(qu.getText());
String answer = in.nextLine(); answers.add(answer); }
boolean[] results = q.checkAnswers(answers);
for (int i = 0; i < results.length; i++) { System.out.println() ; System.out. println(questions.get(i).getText());
System.out.println("Correct answer: " + questions.get(i).getAnswer()); System.out.println("Your answer: " + answers.get(i));
System.out.print("Your answer was ");
if (!results) { System.out.print("not "); }
System.out.println("correct.");
} } }
You need to take an OO approach to the code.
text to be read from file
T
Which Java keyword is used to define a subclass?
extends
S
What is the original name of the Java language?
- *7
- C--
+ Oak
- Gosling
M
Which of the following types are supertypes of Rectangle?
- PrintStream
+ Shape
+ RectangularShape
+ Object
- String
N
What is the square root of 2?
1.41421356
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A+ Work
(1) The function is one-to-one on the interval . Find a formula for the inverse function on that domain. Sketch the graphs of and for on the same set of x,y-axes.
(2) Show is one-to-one on the interval . (Just saying that it passes the horizontal line test is not sufficient. Explain how you can tell it will pass the horizontal line test. Hint: One way to show a function is one-to-one is to show it is strictly increasing or strictly decreasing.)
For the next three problems, use the formula , where g is the inverse function for f, to compute the requested derivative. You can assume in each case that f is one-to-one on the domain given. Do not attempt to find formulas for the inverse functions!
(3) Let on the interval . Calculate .
(4) Let on the interval . Determine an equation for the line tangent to the graph of at .
(5) (Bonus question): Let on the interval . Calculate .
(1) Calculate the derivative of
(2) Let .
(a) Find the critical numbers for f.
(b) Determine the intervals where f is increasing or decreasing.
(c) Find the intervals where f is concave up or concave down.
(d) Find the points of inflection for f. (It might be a good idea to review the definition of inflection point; it might not be what you think it is!)
(e) Using (a) – (d), and plotting a few points, draw the graph of .
(3) Evaluate the indefinite integral . Don’t forget the +C that is part of the indefinite integral. You will probably want to use a substitution.
(4) Evaluate the definite integral .
(5) (Bonus question): Evaluate the definite integral . If you use a substitution, be sure to change the limits of integration to the correct values for the new variable.
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A+ Work
In this project, you’ll create a loan amortization schedule for an example mortgage loan. Imagine the mortgage is for a
nonresidential real property your company has purchased.
The property includes land and a building. Once you’ve created the amortization schedule, you can use it to prepare other financial documents. Your project is divided into several steps for you to follow. Each step includes figures that illustrate the concepts.
Step 1: Create a Loan Amortization Schedule
In this first step of your project, you’ll need to create a loan
amortization schedule. The following table illustrates the payments
and interest amounts for a fixed-rate, 30-year mortgage loan. The total amount of the mortgage is $300,000, and the interest rate is 6 percent. This mortgage requires monthly payments of $1,798.65, with a final payment of $1,800.23. The table was created in Excel.
The following is an explanation of the columns in the table:
■ The first column in the table, with the heading “Payment Number,” shows the 360 payments required to pay off the mortgage loan (30 years, with 12 monthly payments
Payment Number
Payment Amount
6% Interest Expense
Principal Balance
Current
Non-Current
Annual Interest Expense
0 $300,000.00 $3,684.02 $296,315.98 $0
1 $1,798.65 $1,500.00 $298.65 $299,701.35 $3,702.44 $295,998.91
2 $1,798.65 $1,498.51 $300.14 $299,401.21 $3,720.95 $295,680.26
————————————-Break in Sequence————————————-
359 $1,798.65 $17.86 $1,780.79 $1,791.28 $1,791.27 $0
360 $1,800.23 $8.96 $1,791.27 $0 $0 $0 $685.50
Totals $347,515.58 $300,000.00
The second column, with the heading “Payment Amount,” shows the monthly payment amount.
■ The third and fourth columns show the portion of the monthly payment paid for interest, and the portion paid towards the principal.
■ The fifth column, headed “Balance,” shows the starting balance of $300,000, and the remaining balance each month after the principal is subtracted.
■ The sixth column, headed “Current,” reflects the current portion of the principal (12 months).
■ The amounts in the “Non-Current” column are calculated by subtracting the current portion of the principal from the total balance.
■ The “Annual Interest Expense” column provides a running total of the interest expense on the mortgage for the entire 12-month period.
■ The “Totals” under the “6% Interest Expense” and “Principal”
columns show the final totals for the 30-year life of the
Once you’ve determined how each of the amounts in the table are obtained, you can calculate them and fill them in for all 360 payments. Note that the table shows only the figures for the first two payments and the last two payments; you’ll need to calculate the amounts for the remaining payments and fill them in. Once this loan amortization schedule is completely filled in, it
can be printed out and used to prepare other financial statements.
For example, when the first payment of $1,798.65 is
made, the following accounting journal entry would be made
Debit Credit
Mortgage Payable $298.65
Interest Expense $1,500.00
Cash $1,798.65
The balance of this mortgage, after the first payment, is $299,701.35. If a classified balance sheet were prepared on this date, the current portion of the mortgage would be $3,702.44, and the noncurrent portion of the mortgage would be $295,998.91.
Once the monthly schedule is completed, generate an annualized version, using the following preferred format:
Step 2: Create a Depreciation Schedule
The next step in your project is to create a depreciation schedule for the (fictional) property purchased with this loan. When the property was purchased, an appraisal was performed. The property included separate components of land and improvements (the building), and also included some fixtures (appliances, such as a refrigerator). You paid a slightly higher appraisal fee than usual, and instructed the appraiser to provide you with the following breakdown of values:
Graded Project 133
Year Payment
Number Balance Current Non-Current
Annual
Interest
Expense
0 $300,000.00 $3,684.02 $296,315.98 $0
1 12 $296,315.98 $3,911.24 $292,404.75 $17,899.78
2 24 $292,404.75 $4,152.47 $288,252.27 $17,672.56
————————————-Break in Sequence————————————-
28 336 $40,584.10 $19,684.22 $20,899.88 $3,043.13
29 348 $20,899.88 $20,899.88 $0 $1,899.58
30 360 $0 $0 $0 $685.50
Total $347,515.58
The next step in your project is to create a depreciation
schedule for the (fictional) property purchased with this loan. When the property was purchased, an appraisal was performed. The property included separate components of land and improvements (the building), and also included some fixtures (appliances, such as a refrigerator). You paid a slightly higher appraisal fee than usual, and instructed the appraiser to provide you with the following breakdown of values:
Year Payment
Number Balance Current Non-Current
Ann
Appraised
Values Percentage
Land $45,000 14.29%
Improvements $260,000 82.54%
Fixtures $10,000 3.17%
Total $315,000 100.00%
Your mortgage loan cost of $300,000 must be allocated between these different asset classes, so you can use the appropriate depreciable life to prepare a depreciation schedule, as shown in the following illustration:
Now, you’ll need to use the MACRS tables to determine the amount of depreciation expense. Assume that the “improvements” represent 39-year, nonresidential rental property and the “fixtures” represent 7-year property. Create a depreciation schedule using the MACRS tables on pages 308–309 of your textbook. Create annual measures and a source document for annual financial statement preparation. Your textbook didn’t provide a depreciation schedule for the 39-year, nonresidential real property, so we’ve provided one below. The
measures in the table represent the percentage by which the improvements to the real property may be depreciated, per year, based on the month placed in service, which in this case was January:
The amounts in this table are carried out to the third decimal place, so some rounding errors will prevent the improvements from being fully depreciated through year 39. You should prepare the depreciation schedule only through year 30, to match the loan amortization schedule you prepared in Step 1 of the project. To check your work, you can use the following figure, which shows part of the completed depreciation schedule:
Appraised
Values Percentage Cost
Allocation
Land $45,000 14.29% $42,857
Improvements $260,000 82.54% $247,619
Fixtures $10,000 3.17% $9,524
Total $315,000 100.00% $300,000
Year Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
1 2.461 2.247 2.033 1.819 1.695 1.391 1.177 0.963 0.749 0.535 0.321 0.107
2
thru
39
2.564 2.564 2.564 2.564 2.564 2.564 2.564 2.564 2.564 2.564 2.564 2.564
The amounts in this table are carried out to the third decimal place, so some rounding errors will prevent the improvements from being fully depreciated through year 39. You should prepare the depreciation schedule only through year 30, to match the loan amortization schedule you prepared in Step 1 of the project. To check your work, you can use the following figure, which shows part of the completed depreciation schedule
Year Land Improvements Fixtures Total
1 $0 $6,094 $1,361 $7,455
2 $0 $6,349 $2,332 $8,681
————————————-Break in Sequence————————————-
29 $0 $6,349 $0 $6,349
30 $0 $6,349 $0 $6,349
Total $0 $190,213 $9,524 $199,737
Step 3: Create a Schedule Combining
Interest Expenses and Depreciation
Expenses
In this step, you’ll need to create a schedule that combines interest expenses and depreciation expenses, but only for the first 10 years of the life of the asset. Here is how the completed schedule should appear:
Step 4: Convert the Interest Expense
and Depreciation Expense
In this step of your project, you’ll need to convert the interest expense and depreciation expense from pretax to aftertax dollars. Assume the firm is subject to a 34 percent marginal tax rate, and
Remember from your lessons that operating and interest expense results in a cash outflow, and depreciation expense results in a cash inflow, from the depreciation tax shield. Therefore, in this step, you’re computing a net cash outflow. The following illustration shows how the completed schedule should appear, with the combined annual interest expense and depreciation expense, both converted to aftertax terms.
Step 5: Calculate the Aftertax Cash
Outflows
In this step of your project, you’ll need to calculate the present values and net present values of the aftertax cash flows orexpenses for the project. In this case, this is the present value, aftertax cash outflow.
You’ve calculated the aftertax cash flows for the interest expense and the depreciation expense associated with the purchase of this piece of non-residential real property. Now, the final step requires you to calculate the present value of these ATCFs for each year, and the NPV for these expenses, in aggregate.
Using a discount rate of 10 percent, extend the table completed in Step 4 by adding a column for the present value of ATCFs. You’ll find a “present value of $1” table on pages A-4 and A-5 of your textbook (near the back of the book). The following illustration shows how the completed table should appear.
Year
Pretax
Annual
Interest
Expense
Pretax
Annual
Depreciation
Expense
(a)
AT CF
or
Posttax
(1 – T)
Interest
Expense
(b)
AT CF
or
Posttax
(T)
Depreciation
Expense
(a) – (b)
AT CF
or
Posttax
Combined
Interest &
Depreciation
Expense
1 $17,900 $7,455 $11,814 $2,535 $9,279
————————————-Break in Sequence————————————-
10 $15,271 $6,349 $10,079 $2,159 $7,920
Questions 3 and 4
Your mortgage loan cost of $300,000 must be allocated between
these different asset classes, so you can use the appropriate depreciable life to prepare a depreciation schedule, as shown
in the following illustration:
Appraised
Values Percentage Cost
Allocation
Land $45,000 14.29% $42,857
Improvements $260,000 82.54% $247,619
Fixtures $10,000 3.17% $9,524
Total $315,000 100.00% $300,000
Now, you’ll need to use the MACRS tables to determine the amount of depreciation expense. Assume that the “improvements” represent 39-year, nonresidential rental property and the “fixtures” represent 7-year property. Create a depreciation
schedule using the MACRS tables on pages 308–309 of your
textbook. Create annual measures and a source document for annual financial statement preparation. Your tex
Your textbook
didn’t provide a depreciation schedule for the 39-year, nonresidential
real property, so we’ve provided one below. The
measures in the table represent the percentage by which the improvements to the real property may be depreciated, per year, based on the month placed in service, which in this case was january.
The amounts in this table are carried out to the third decimal
place, so some rounding errors will prevent the improvements from being fully depreciated through year 39. You should prepare the depreciation schedule only through year 30, to
match the loan amortization schedule you prepared in Step 1
of the project. To check your work, you can use the following
figure, which shows part of the completed depreciation schedule:
In this step, you’ll need to create a schedule that combines interest expenses and depreciation expenses, but only for the first 10 years of the life of the asset. Here is how the completed
schedule should appear:
Year Annual
Interest Expense
Annual
Depreciation
Expense
1
$17,899.78 $7,455
—————Break in Sequence—————
10
$15,270.50 $6,349
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A+ Work (Individual Project Assignment: Version 2A)
MATH133 Unit 4: Functions and Their Graphs
Individual Project Assignment: Version 2A
IMPORTANT: Please see Question 3 under Problem 2 for special instructions for this
week’s IP assignment. This is mandatory.
Show all of your work details, explanations, and answers on the Unit 4 IP Answer Form
provided.
1: Children’s Growth
A study of the data representing the approximate average heights of children from birth to 12 years (144 months) has shown the following two equations. The function
is the radical function representing the girls’ heights in inches after x months, and the function is the radical function representing the boys’ heights in inches after x months ( months).
1. Choose five different values of x between 0 and 144 months, and calculate the values of each of these functions for the chosen x values. Show all of your work and display these calculated values of
( ) and
( ) in “t-tables” in the Answer Form supplied.
2. Use these five different values of x and the corresponding calculated values of both functions, together with Excel or another graphing utility, to draw the graphs of these two functions. These graphs should be drawn on the same coordinate system so that the two functions can be easily compared. Insert those graphs into the Answer Form.
3. Set the two functions equal to each other, and solve the resulting radical equation for x. This value of x will be the age in months when boys and girls are the same height. (Show all of the
steps for solving this radical equation on the Answer Form provided.)
4. What is the height in inches when boys and girls (according to these radical functions) are the same height? (Show all of your work on the Answer Form provided.)
5. Based on each of the two radical functions above, what is the average change in height per month for girls and the average change in height per month for boys between the two values of
x (x = 30 months and x = 60 months)? (Show all of your work on the Answer Form provided.)
6. Describe the transformations of the radical function that will result in each of these
functions.
7. Which intellipath Learning Nodes helped you with this problem?
2: Average Cost
Your company is making a product item. The fixed costs for making this product are b, and the variable costs are mx, where x is the number of items produced. The cost function is the following linear function:
The average cost is the total costs divided by the number of items produced, which is a rational function,
as follows:
1. Based on the first letter of your last name, choose values for m and b from the following tables
(Neither m nor b has to be a whole number):
First letter of your last name Possible values for m
A–F $10–$19
G–L $20–$29
M–R $30–$39
S–Z $40–$49
First letter of your last name Possible values for b
A–F $100–$149
G–L $150–$199
M–R $200–$299
S–Z $300–$399
2. Make up the type of company and a product that you think fits the values of m and b that you
have chosen in Question 1, and briefly describe the company and product. (There is no wrong
answer except to not answer the question. Be creative in developing your scenario, but do not
overdo it.)
3. Important: By Wednesday night at midnight, submit in a Word document only your name and your chosen values for m and b. Submit this in the Unit 4 submissions area. This submitted Word document will be used to determine the Last Day of Attendance for
government reporting purposes.
4. Choose five values of x < 50, and calculate the corresponding values of
( ). Display these x and
( ) values in a t-table. (Show all of your work details for these calculations. Please review this Web site to see how to type mathematics using the keyboard symbols.)
5. Using Excel or another graphing utility, draw the graph of your average cost function, as follows:
6. What happens to your average cost rational function when x gets very large? Explain your
answer.
7. How many items must be produced before the average cost is 1.5 times your chosen value of m?
(Show all of your work.)
8. Describe the transformations of the rational function
cost function. (Hint: What transformation types are used to get from
that will result in your average
9. Does your average cost function have a horizontal asymptote? If so, what is that horizontal asymptote equation? (Explain your answer.)
10. Which intellipath Learning Nodes helped you with this problem?
Reference
Formatting math as text. (n.d.). Retrieved from the Purple Math Web site:
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