The helicopter is elevated an additional 15 metres away from the ground. The diameter of the circular area of light on the ground is now closest to: A. 8 m; B. 13 m; C. 15 m; D. 20 m; E. 25 m

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Assorted Geometry

Further Mathematics Unit 4 Page 1 Week 2 SEND Work
SEND: Work for Submission for Week 2
Show the essential working in the spaces provided for ALL questions.
A search and rescue helicopter shines a light down from a vertical height of 50 metres as shown below. The circular area of light it creates on the ground has a diameter of 10 metres.

Question 1
The helicopter is elevated an additional 15 metres away from the ground. The diameter of the circular area of light on the ground is now closest to
A. 8 m
B. 13 m
C. 15 m
D. 20 m
E. 25 m

Question 2
The helicopter moves to a height so that the diameter of the circular area increases from 10 metres to 40 metres.
The area of the circular light is now
A. four times what it was before.
B. eight times what it was before.
C. sixteen times what is was before.
D. thirty-two times what is was before.
E. sixty-four times what it was before.

Further Mathematics Unit 4 Page 2 Week 2 SEND Work

Question 3
The value of x in the following figure is 3.
A. 20
B. 25
C. 33
D. 45
E. 55

[Hint: Separate out the similar triangles and match up the corresponding sides and angles]

Question 4
Ben is making a 1:100 model of a car with an engine capacity of 2.3 litres (2300cm3 ). If Ben wants to include a scale model of the engine, then the capacity of the model engine should be
A. 0.0023 cm3
B. 0.023 cm3
C. 0.23 cm3
D. 2.3 cm3
E. 23 cm3

Question 5
Triangle ABC is similar to triangle AXY.
AX = 3
2 AB
If the area of ∆ABC = 108 cm2 , the area of ∆AXY is
A. 32 cm2
B. 48 cm2
C. 54 cm2
D. 72 cm2
E. 81 cm2
B
X
A C
Y
2522
10
x

Further Mathematics Unit 4 Page 3 Week 2 SEND Work

Question 6
A cylindrical block of wood has a diameter of 12 cm and a height of 8 cm.
A hemisphere is removed from the top of the cylinder, 1 cm from the edge, as shown below.
The volume of the block of wood, in cubic centimetres, after the hemisphere has been removed is closest to
A. 452
B. 606
C. 643
D. 1167
E. 1357

Question 7
A triangular prism with a cross-section of an equilateral triangle is shown on the right.
The side lengths of the triangle are 4cm and the length of the prism is 10cm.
The total surface area in square cm is
A. 46.93
B. 80
C. 93.86
D. 126.93
E. 133.86
4 cm
10 cm

Bring in a copy of the ad Rewrite the ads improper conditional statement form in proper conditional form Write a detailed report on how the ad is misleading and how it may be written to be less misleading Discuss why it is difficult to make an ad that is not misleading.

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Conditional statements in advertising

The field of advertising is notorious for logical errors. While the conclusion reached in an advertisement may be true, the logic used to reach that conclusion may be based on an invalid argument. Find 3 misleading advertisements in a news paper or magazine that use implied conditional statements. (i.e. “if you stop here- your pain will too”)

Bring in a copy of the ad Rewrite the ads improper conditional statement form in proper conditional form Write a detailed report on how the ad is misleading and how it may be written to be less misleading Discuss why it is difficult to make an ad that is not misleading.

1 Construct a truth table for the compound statement:
[0 3 A – r) —>- u v t) A –

Tip: Try setting up a table in Word or Excel, it might keep your eyes from crossing.

An aspiring business owner is planning their college course of study and would like to know whether they should pursue a doctoral degree before they open their own business. Explain what you would recommend to them using two specific examples from the bar graph to support your response.

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The Value of Organization in Math

Organization is a foundation for productivity as well as for solving math problems. In MAT110, applying organizational skills is two-fold. First, it is essential to being productive, for example, when you organize your workspace and manage your time, which allows you to be a successful student. Second, organizational skills are also essential when solving math problems since you must plan how to solve a problem, organize steps in a logical order, and work efficiently through those steps.

Each time you solve a math problem, you are strengthening your organizational skills, which are valued by employers and will help you lead a more productive life.

 

Each of the following problems will assess your ability to explain how you would apply organizational skills to math problems in real world situations.

Note: This assignment does not require research, but if you choose to use information from a source, be sure to cite it. To help make sure you are properly citing your sources, please review the Strayer Writing Standards. When you have answered all three questions, save the template with your completed responses as a Word document titled: Your Name_ MAT110_Week_4_Assignment and submit it in Blackboard in Week 4.

Question 1

Instructions

The two real-life scenarios below represent the importance of organization in mathematics. Specifically, the importance of being able to find a percentage of an amount without a calculator. In each scenario box below, add your explanations in the spaces provided.
Scenario 1

You are in a store and want to ensure you have enough cash for an unplanned purchase. You need to be able to calculate the sales tax for your purchase without a calculator.
Part A: Identify a situation that would fit into this scenario and explain how you would organize this calculation to solve it without a calculator. Assume a 5% sales tax rate.  For full credit you will need the cost of the item, an explanation of how you would calculate the sales tax, and the total cost.

Example: I am shopping for school supplies at Target, and I have $130 extra. I see air pods on sale for $120. I want to determine if I have enough money to cover the total purchase price, including tax, before I get to the register. Here’s how I would organize the problem in my head (or on paper) to get an accurate calculation…
Type your response here:
Scenario 2

You are at a restaurant with three friends (party of 4) and need to estimate the amount of tip for your portion of the bill without using a calculator. Assume a 20% tip rate.  For full credit, you will need the cost of your meal, an explanation of how you would calculate your 20% tip, and the total amount.
Part B: Explain how you would solve this problem by organizing a sample calculation.
Type your response here:

 
Part C: Refer back to your responses above for Parts A and B: Explain why organization was important in your thought process and calculation for an accurate solution.  You should also reflect on how correct organization of a problem can help you in everyday life.   Include real-world examples to support your response. Your answer should be a minimum of three sentences.
Type your response here:

Question 2:

Instructions:

The bar graph below represents the education levels of business owners in 2019. Review the details in the bar graph and interpret the data to answer parts A and B below.

U.S. Census Bureau Annual Business Survey. 2020. Data year 2019. Graph.
Question 2 cont.
Part A: An aspiring business owner is planning their college course of study and would like to know whether they should pursue a doctoral degree before they open their own business. Explain what you would recommend to them using two specific examples from the bar graph to support your response. (Hint: You will need to review the number of business owners for each education level in the graph.) 
Type your response here:
Part B: Explain why a bar graph is useful for organizing categorical data. Support your explanation with two different observations from the graph.
Type your response here:

Question 3:

Instructions:

Explain how you would organize your step-by-step calculations in evaluating the order of operations problem below. (Remember PEMDAS!) There should be five steps in this calculation. For full credit you must fill in the blanks below with your step-by-step explanation as well as computation for the correct answer. Add space as needed.

Note: If there is no math expression above, please contact your instructor.  
Type your response here:

Steps to organize the calculation: 

1.       First, I would ___________________________________________________

2.       Next, I would ___________________________________________________

3.       Then, I would ___________________________________________________

4.       Then, I would ___________________________________________________

5.       Finally, I would __________________________________________________

 

 

When you have answered all three questions, save the template with your completed responses as a Word file titled: YourName_MAT110_Week_4_Assignment. Make note of the folder where your file is being saved to submit it in Blackboard in Week 4.

 

What is the average rating for all CBC movies? How about ABN movies and BBS movies? Provide a bar chart that compares these averages. Create a line graph of the monthly average ratings for CBC for the year.

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Statistics

For this part of the project, you will be analyzing a case and communicating your results with a PowerPoint presentation. The data you need for Part 2 is provided in the following Excel file. Be sure to use this file and do not type anything manually from the case or use other sources for the data.

Assignment Details

You will be analyzing the “Colonial Broadcasting” case included with the course pack that you bought at the beginning of the course (see attached). Begin by reading the description in the case. Then, answer the questions listed below, NOT the questions listed in the case. Ignore everything in the case document after the end of page 4.

The executives at CBC have four main areas in which they are interested: They want to see how they are doing in ratings against the other networks and how the ratings will continue to change in the upcoming months. They also want to know if hiring stars makes a difference and the impact of fact-based programming compared to hiring stars.

Remember that your audience is the management of CBC. Therefore, make sure your presentation is professional. Once you present your results, you need to justify and explain your findings with properly stated conclusions.

1) Answer the following questions:

a) What is the average rating for all CBC movies? How about ABN movies and BBS movies? Provide a bar chart that compares these averages.
b) Include a table that shows the descriptive statistics using the data analysis tool pack in Excel for the ratings of the three networks (one column for each network).
c) Comment on how the networks are performing, by comparing and interpreting the metrics in the descriptive statistics table. Your analysis must extend beyond simply comparing the average ratings for each network.

2) Create a line graph of the monthly average ratings for CBC for the year.

Note that there are multiple ratings data for the months; you will need to calculate an average for each month first, and then plot the averages.

After you create the graph, fit a linear trend line and a 2nd order polynomial trend line, displaying the formula and the r-squared. Explain to the executives if you can use this time series data to forecast the ratings of upcoming months. Which forecasting method is better? How accurate can you expect this forecast to be?

3) The executives wish to know if they should hire stars for their programs. To answer this question, run a hypothesis test to see if the ratings of shows with stars are higher compared to those without stars. Use the data for CBC movies only. Use 95% confidence.

4)Your answer should include the following:
a) The null and alternative hypotheses (state in full sentences).
b)The test results: Run the test using Excel and include the output table. Use a t-test assuming equal variances.
c)What is your recommendation to the executives? Justify your answer referring to the relevant figures.

5) Run a multiple regression where the dependent variable is ratings and the independent variables are star and fact. Use data from CBC only. CBC Management has several questions:
a)Executives wish to know how much being fact-based or having one star contributes to a movies rating. What can you tell them about this?
b)Are either, both, or neither of the independent variables significantly related to the ratings at 95% confidence? Justify your answers referring to the relevant figures.
c)How well does this regression analysis explain the ratings? Should the executives count on the results from this analysis? Justify your answers referring to the relevant figures.

Explain the difference between descriptive and inferential statistical methods and give an example of how each could help you draw a conclusion in the real world. Determine whether eating before bed influences sleep patterns. List each step you would take to conduct a statistical study on this topic and explain what you would do to complete each step. Identify two examples of real-world problems that you have observed in your personal, academic, or professional life that could benefit from data driven solutions. Explain how you would use data/statistics and the steps you would take to analyze each problem.

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Data-Driven Decision Making

Week 3 Assignment 1: The Foundation of Data-Driven Decisions
Skill(s) Being Assessed: Problem Solving – Data Analysis (Mathematical Reasoning)
What to Submit / Deliverables: Word Document uploaded to the Blackboard Assignment

What is the value of doing this assignment? You’ll practice your problem solving skill by identifying foundational statistical concepts and explaining how data-driven decision making can help inform real world problems. This will provide you with a solid foundation that will help you to not only be successful in this course, but to learn to make smarter, data-driven decisions in your personal and professional life.

Your goal for this assignment is to: Practice your problem solving skill by answering questions about statistical concepts and the benefits and uses of data-driven decision making.

Steps to Complete:
STEP 1: Answer the questions below in a Word document.
STEP 2: Save and submit your Word document in the Assignment link in the Week 3 Submit page in BlackBoard.
1. Explain the difference between descriptive and inferential statistical methods and give an example of how each could help you draw a conclusion in the real world.

2. You would like to determine whether eating before bed influences sleep patterns. List each step you would take to conduct a statistical study on this topic and explain what you would do to complete each step. Then, answer the questions below.

  • What is your hypothesis on this issue?
  • What type of data will you be looking for?
  • What methods would you use to gather information?
  • How would the results of the data influence decisions you might make about eating and sleeping?

3. A company that sells tea and coffee claims that drinking two cups of green tea daily has been shown to increase mood and well-being. This claim is based on surveys asking customers to rate their mood on a scale of 1–10 after days they drink/do not drink different types of tea. Based on this information, answer the following questions:

  • How would we know if this data is valid and reliable?
  • What questions would you ask to find out more about the quality of the data?
  • Why is it important to gather and report valid and reliable data?

4. Identify two examples of real-world problems that you have observed in your personal, academic, or professional life that could benefit from data driven solutions. Explain how you would use data/statistics and the steps you would take to analyze each problem. You may also choose topics below (or examples from the weekly content) to help support your response:

  • Productivity at work.
  • Financial decisions and budgeting.
  • Health and nutrition.
  • Political campaigns.
  • Quality testing in products.
  • Human resource policies.
  • Algorithms for programming/coding.
  • Accounting & financial policies.
  • Crime reduction and trends.
  • Environmental protection / Emergency preparedness.

5. How does analyzing data on these real-world problems aid in problem-solving and drawing conclusions? Be sure to note the value and benefits of data-driven decision-making.

Create a well-defined problem statement. Describe multiple strategies you will use to solve the problem. Ex, where would you look for appliances, any special time of year, bundles, sales, etc? Also, how do you finance, store credit, credit card, bank loan, etc?

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Math 154 Research Project 3 (Group)

How can we most affordably and effectively pay for the remodel of our kitchen which is pictured below?

(Picture either provided by instructor or chosen by students)
(The implication is if we pay for it, we will need to define the work that was done.)

You are going to get two different grades for this project.  The first grade is what will go in the grade book and is based on the information below.  The second “grade” is actually a score that gets reported to the college based on how well you follow the Problem Solving Rubric (attached).  This score does not affect your grade, but you should try to follow both my scoring guidelines as well as the Problem Solving Rubric when you are working through this project.

This is how your grade will be determine for this course:

  1. Define the problem – 10 Points
  • Create a well-defined problem statement.
  1. Identify Strategies – 20 Points
  • Describe multiple strategies you will use to solve the problem. Ex, where would you look for appliances, any special time of year, bundles, sales, etc? Also, how do you finance, store credit, credit card, bank loan, etc?
  1. Propose Solutions – 20 Points
  • Cite sources, show ads, details!, credit card interest rates, loan information, etc
  1. Evaluate Potential Solutions – 20 Points
  • Do the math – take your solutions and show how you could finance them… store credit, bank loan, credit card with interest rates, etc How much would each solution cost in the long run if you include financing and interest?
  1. Evaluate Impact of Potential Solutions – 20 Points
  • Of the solutions, what works best for you? Would this be the best for everyone? Why would someone choose one solution while you choose another?
  1. Reflect on Problem Solving Process – 10 points
  • Summarize this project

Remember to use both rubrics as you work through this project.  I have opened up a discussion board to ask project based questions.  Please read through all previous posts before adding a new one, because your question may already be answered.  This project must be submitted via word document (.doc)

 

How long will it be before All-Store starts operating at a loss? How long will it be before All-Store goes bankrupt? When will All-Store’s monthly profit equal zero? Calculate the difference between each month’s net profits. Determine how much profits will drop in the following months.

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All-Store Calculations and Report

Note: Complete this worksheet by replacing the bracketed phrases in the response boxes with the relevant information.

You need to analyze three areas of the All-Store business: declining sales, reducing staffing, and purchasing the building. Before you start, read all the All-Store company documents in the “Supporting Materials” section. These will have useful information that will help you complete your project.

Note: You can use a calculator to complete the calculations. Make sure to show and check all of your work.

Part 1: Your Calculations

Declining Sales

The general manager wants to know what the impact will be on the business if sales continue to decline at the current rate and no action is taken. This can be broken down into two questions:

 

  • How long will it be before All-Store starts operating at a loss?
  • How long will it be before All-Store goes bankrupt?

 

How Long Before All-Store Starts Operating at a Loss?

When a company makes less money than it spends, this is referred to as operating at a loss. Another way to express this is “the net profit equals zero.”

 

When will All-Store’s monthly profit equal zero? Although there’s no precise answer to this question, since the future is unpredictable, you can estimate based on some available data. In the following steps, you will estimate the monthly drop in profits. Then, you’ll formulate a projection to determine when All-Store would be operating at a loss.

 

1.       Monthly Net Profit

List each month’s net profit in the following response box.

[Insert response here.]

 

2.       Difference between Monthly Net Profits

Calculate the difference between each month’s net profits. For example, subtract January’s profit from February’s profit. Then subtract February’s profit from March’s profit. Continue this process for each month.

[Insert response here.]

 

3.       Profit Drop

Determine how much profits will drop in the following months. You’ll need to estimate based on all of the previous numbers. One way to do this is by choosing a number that represents something close to the middle of the values, or a measure of central tendency. Mean, median, and mode are three different measures of central tendency. Calculate each measure in the following response box.

4.       To calculate the mean (average):
  • Add all of the numbers in the series together.
  • Divide them by the quantity of numbers added.
  • Note: You may need to round up or down to the nearest cent.
5.       To calculate the median (middle):
  • List all of the numbers in the series in order (low to high, or high to low).
  • Choose the one in the middle of the list.
6.       To calculate the mode (most frequent):
  • List all of the numbers in order (from lowest to highest or highest to lowest).
  • Choose the number that appears the most often. If no numbers repeat in a series, then there is no mode.
[Insert response here. Show your work.]

 

7.       Mode of Central Tendency Used to Predict the Upcoming Months
  • Which value(s) will you use to make your projections? Why?
  • Is there value in showing more than one projection in your report? Why or why not?
[Insert response here.]

 

8.       Projection

Now that you’ve chosen a way (or ways) to estimate, it’s time to project the month. To do this:

  • Divide the last number in the series (the net profit from June) by the measures of central tendency you calculated in question 3.
  • If there is a decimal in your result, round down to the nearest month.
[Insert response here. Show your work.]

 

How Long Before All-Store Goes Bankrupt?

Bankruptcy is when a person or company runs out of money and cannot afford to pay the bills. It can also refer to the legal processes involved in dealing with this situation. For All-Store, bankruptcy could include missing payments on anything from rent to payroll. In this section, you will use your estimate for the monthly drop in profits, which you already calculated, to project when this will occur.

 

9.       All-Store Savings

Find the current amount of funds that All-Store has in savings. Read the company documents in the “Supporting Materials” section to learn this information.

[Insert response here.]

 

10.   How Long All-Store Can Operate at a Loss

Although the company will be operating at a loss, All-Store has some money in savings that will allow it to pay for expenses for a time. In the response box, determine this time in months. To do this:

  • Add the amount in savings to the net profit from June.
  • Divide by the number(s) you determined above (mean, median, mode).
  • If there is a decimal in your result, round down.
[Insert response here. Calculate the loss three times. Use the mean the first time, median the second time, and mode the third time.]

 

11.   Summary

Reflect on the meaning of your calculations. Consider the following questions:

  • What do you think the results of your calculations will mean for the company?
  • What specific actions would you recommend based on all of the available information? For example, what is a specific way for the company to cut costs?
[Insert your summary here. You will need to include this summary in your report using specific calculations to support your recommendations.]

 

Skeleton Crew

The general manager wants to know what All-Store’s options are for reducing staffing if the business needs to cut back on payroll. You will break this question down into three smaller questions:

  • How many peak and nonpeak hours are there during the week? Peak refers to busy times and nonpeak refers to less busy times.
  • What is the minimum labor cost per week?
  • What is the minimum number of people needed during store hours?

 

How Many Peak and Nonpeak Hours Are There during the Week?

 

12.   Store Hours

How many total hours is the store open each day? This is a small piece of the larger problem, but the results can inform the rest of your calculations.

[Insert response here. Show your work.]

 

13.   Peak Hours

What are the total peak hours for a week? To do this, add the peak hours for each day together.

[Insert response here. Show your work.]

 

14.   Nonpeak Hours

What are the total nonpeak hours for the week? To do this, subtract the peak hours from the total hours.

[Insert response here. Show your work.]

 

What Is the Minimum Labor Cost Per Week?

The general manager provided you with the hourly wages for sales associates and managers, as well as how many of each type of staff are needed during peak and nonpeak hours. To determine the minimum labor costs per week, you will need to use the total hours that you calculated in the previous section.

 

15.   Minimum Sales Associate Hours

What is the minimum number of sales associate hours needed each week? To calculate this:

  • Multiply the number of sales associates needed during peak times by the number of peak hours.
  • Multiply the number of sales associates needed during nonpeak times by the number of nonpeak hours.
  • Add those two numbers together.
[Insert response here. Show your work.]

 

16.   Minimum Manager Hours

What is the minimum number of manager hours needed each week? To calculate this:

  • Multiply the number of managers needed during peak times by the number of peak hours.
  • Multiply the number of managers needed during nonpeak times by the number of nonpeak hours.
  • Add those two numbers together.
[Insert response here. Show your work.]

 

17.   Total Labor Costs Per Week

What is the minimum total labor cost per week? To calculate this:

  • Multiply the number of sales associate hours by the sales associate hourly labor cost.
  • Multiply the number of manager hours by the manager hourly labor cost.
  • Add those two numbers together.
[Insert response here. Show your work.]

 

How Many Staff Are Required to Ensure Continuous Coverage?

 

18.   Minimum Number of Sales Associates

Calculate the minimum number of sales associates by dividing the number of total hours needed by the number of hours per week that a sales associate may work.

[Insert response here. Show your work.]

 

19.   Reflect on Your Answer to Question 18

If your result was a decimal, will you round up or down in your report? Why?

[Insert response here.]

 

20.   Calculate the Minimum Number of Managers

To do this, divide the number of total hours needed by the number of hours per week that a manager may work.

[Insert response here. Show your work.]

 

21.   Reflect on Your Answer to Question 20

If your result was a decimal, will you round up or down in your report? Why?

[Insert response here.]

 

22.   Summary

Summarize what you think the results of your calculations will mean for All-Store.

  • What specific actions would you recommend based on all of the available information? For example, what are some options for future staffing, should sales continue to decline?
[Insert response here. You will need to incorporate this summary into your report and mention specific calculations to justify your recommendations.]

Rent vs. Buy

The building’s owner approached the general manager about her interest in purchasing the building. Your manager wants to know what would be the immediate financial impact of purchasing the building. You will break this question down into the following questions:

  • What is the difference in monthly cost between renting and buying?
  • Given the down payment required, how many months would it be before the purchase paid for itself?

What Is the Difference in Monthly Cost between Renting and Buying?

 

23.   Monthly Cost of Rent

What is the monthly cost of rent? Review the profit and loss statement or the June bank account statement for this information.

[Insert response here.]

 

24.   Total Monthly Payment of the Loan

What is the total monthly payment of the loan? Review the loan estimate document.

[Insert response here.]

 

25.   Cheaper Monthly Payment

Find the difference between the monthly rent and the monthly loan payment, and identify which one is the cheaper monthly payment.

[Insert response here.]

 

Given the Down Payment Required, How Many Months Would It Be before the Purchase Paid for Itself?

People say that something “has paid for itself” when the financial benefits over time equal the initial investment. In this section, you will calculate how many years it will be before All-Store saves money.

 

26.   Months Until It Pays for Itself

Divide the initial investment (i.e., the down payment) by the amount saved each month (which you calculated above). The result will be in months. If it is a decimal, round up.

[Insert response here. Show your work.]

 

27.   Convert to Years

What is this estimate in years?

[Insert response here. Show your work.]

 

28.   Reflect

Reflect on your answer. Address the following questions in your response:

  1. Is the answer to the previous question more or less than the term of the loan?
  2. What would be the immediate impact to All-Store’s savings?
[Insert response here.]

 

29.   Summary

Summarize what you think the results of your calculations will mean for the company. What specific actions would you recommend based on all of the available information? For example, is this a good time to buy? You will need to include this summary in your report and mention specific calculations to justify your recommendations.

[Insert response here.]

 

Part 2: Your Report to Your Manager

Use the following template to write a report to your manager with your findings. Make sure to support your recommendations with qualitative evidence.

 

Declining Sales

 

Recommendations for Declining Sales (100–150 words)

Make your recommendations about the impact of All-Store’s declining sales. Use your response to question 8 in part one to help you get started. Your recommendations should be supported by detailed quantitative evidence.

[Insert response here.]

 

Analysis of Declining Sales (100–150 words)

Explain your use of mathematical expressions in solving problems. You may use text, images, or graphs.

[Insert response here.]

 

Skeleton Crew

 

Recommendations for Skeleton Crew (100–150 words)

Make your recommendations about All-Store’s staffing. Use your response to question 19 in part one to help you get started. Your recommendations should be supported by detailed quantitative evidence.

[Insert response here.]

 

Analysis of Skeleton Crew (100–150 words)

Explain your use of mathematical expressions in solving problems. You may use text, images, or graphs.

[Insert response here.]

 

Rent vs. Buy

 

Recommendations for Rent vs. Buy (100–150 words)

Make your recommendations about All-Store purchasing the building or continuing to rent. Use your response to question 26 in part one to help you get started. Your recommendations should be supported by detailed quantitative evidence.

[Insert response here.]

 

Analysis of Rent vs. Buy (100–150 words)

Explain your use of mathematical expressions in solving problems. You may use text, images, or graphs.

[Insert response here.]

 

Using the compound interest formula, calculate your balance if you invest $1,000 for 5 years. What did you learn about comparing the compounding frequency that interest is compounded? What did you learn about comparing the interest rate? Is it better to have a slightly higher rate or have interest compounded more often?

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Financial Report Worksheet

Directions: Complete the financial report worksheet to help you with your calculations to create the APA report.

1. Go to your financial institution’s website or a local financial institution’s website and find the interest rate and compounding frequency (monthly, quarterly, annually, and so on) for a savings account. Record that here:

2. Use the compound interest formula:  where r is the interest rate as a decimal, n is the number of times it is compounded in the time frame, t is the amount of time, and P is the starting value. Calculate your balance if you invest $1,000 for 1 year.

3. Using the compound interest formula, calculate your balance if you invest $1,000 for 5 years.

4. Now select a new compounding period (monthly, quarterly, annually, and so on) and redo your calculations from number 2 & 3, using the same interest rate.

5. Now select a new interest rate from another financial institution that is different than your starting one. Redo your calculations from numbers 2 & 3 with the new rate but keeping the same compounding frequency that you used in 2 & 3.

6. What did you learn about comparing the compounding frequency that interest is compounded?

7. What did you learn about comparing the interest rate?

8. Is it better to have a slightly higher rate or have interest compounded more often?

Create a 10 question survey with quantitative variables (number) on a topic you are interested in. Administer the survey to a minimum of 10 people. Analyze your data for the mean, median, and mode of each questions. Create a visual from this chapter: bar graph, box and whisker plot, histogram, stem and leaf plot. etc.

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Quantitative and Probability

Gather and Analyze Data
You have been charged with creating a survey for your community! The community is interested in having you create a survey and present the results at the next town hall meeting.

In this project, students will:
Learn about quantitative variables.
1. Learn to analyze data for measures of central tendency (mean, median and mode)
2. Learn to create an effective presentation with real-world conclusions.

To complete this project you will:
Think of a problem within your community or workplace. The problem needs to be something others will have an interest in solving or will want to share reactions to.

1. Create a 10 question survey with quantitative variables (number) on a topic you are interested in. Think of questions where 0 is dislike there is a scale to 4- like. Another way to do this is using 0-never, 1 sometimes, 2 frequently, and 3 always.

2. Administer the survey to a minimum of 10 people.

3. Analyze your data for the mean, median, and mode of each questions.

4. Create a visual from this chapter: bar graph, box and whisker plot, histogram, stem and leaf plot. etc.

5. Compile the information into a slide presentation, of at least 5 slides, to present at the next town hall. The presentation should present: the mean, median, and mode of each question, the visual of the data, and conclusions based on the statistics you found in the survey.

Create a well-defined problem statement. Describe multiple strategies you will use to solve the problem. Ex, where would you look for appliances, any special time of year, bundles, sales, etc? Also, how do you finance, store credit, credit card, bank loan, etc?

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Math 154 Research Project 3 (Group)

How can we most affordably and effectively pay for the remodel of our kitchen which is pictured below?

(Picture either provided by instructor or chosen by students)
(The implication is if we pay for it, we will need to define the work that was done.)

You are going to get two different grades for this project.  The first grade is what will go in the grade book and is based on the information below.  The second “grade” is actually a score that gets reported to the college based on how well you follow the Problem Solving Rubric (attached).  This score does not affect your grade, but you should try to follow both my scoring guidelines as well as the Problem Solving Rubric when you are working through this project.

This is how your grade will be determine for this course:

  1. Define the problem – 10 Points
  • Create a well-defined problem statement.
  1. Identify Strategies – 20 Points
  • Describe multiple strategies you will use to solve the problem. Ex, where would you look for appliances, any special time of year, bundles, sales, etc? Also, how do you finance, store credit, credit card, bank loan, etc?
  1. Propose Solutions – 20 Points
  • Cite sources, show ads, details!, credit card interest rates, loan information, etc
  1. Evaluate Potential Solutions – 20 Points
  • Do the math – take your solutions and show how you could finance them… store credit, bank loan, credit card with interest rates, etc How much would each solution cost in the long run if you include financing and interest?
  1. Evaluate Impact of Potential Solutions – 20 Points
  • Of the solutions, what works best for you? Would this be the best for everyone? Why would someone choose one solution while you choose another?
  1. Reflect on Problem Solving Process – 10 points
  • Summarize this project

 

Remember to use both rubrics as you work through this project.  I have opened up a discussion board to ask project based questions.  Please read through all previous posts before adding a new one, because your question may already be answered.  This project must be submitted via word document (.doc)