Scenario

A tech company has developed a new compact, high efficiency battery for hand-held devices. Market projections have estimated the cost and revenue of manufacturing these batteries by the equations graphed attached below.

Assessment Instructions

Show and explain all steps in your responses to the following parts of the assignment. All mathematical steps must be formatted using the equation editor.

Part 1: Use the substitution method to determine the point where the cost equals the revenue.

Part 2: Interpret your results from Part 1 in the context of the problem.

Part 3: Do your results from Part 1 correspond with the graph? Explain.

Part 4: Profit is found by subtracting cost from revenue. Write an equation in the same variables to represent the profit.

Part 5: Find the profit from producing 75 thousand batteries.

## a known historical mathematician (Examples: Euler, Newton, Leibniz, Galois, Lore

a known historical mathematician (Examples: Euler, Newton, Leibniz, Galois, Lorentz) (20pts)

Discover the mathematician contributions to modern-day mathematics (30pts)

Explain how this mathematics may have influenced modern-day life or how it has caused historical events in the world (30pts)

Discover the importance of mathematics (20pts)

## Scenario The height, in feet, of an object shot upwards into the air with an ini

Scenario

The height, in feet, of an object shot upwards into the air with an initial velocity, in feet per second, of vi, after t seconds is given by the formula:

Use the equation above to answer questions about a model rocket is launched from the ground into the air with an initial velocity of 352 feet per second. Use the graph below to help answer the questions.

Show and explain all steps in your responses to the following parts of the assignment. All mathematical steps must be formatted using the equation editor.

: Create the equation for the height of the rocket after t seconds.

: Find the time it takes for the rocket to reach a height of 0. Interpret both solutions.

: Find the time it takes to reach the top of its trajectory.

: Find the maximum height.

: Find the time it takes to reach a height of 968 feet. Round your answer to the nearest tenth.

## Module 05 Content Scenario The height, in feet, of an object shot upwards into t

Module 05 Content

Scenario

The height, in feet, of an object shot upwards into the air with an initial velocity, in feet per second, of vi, after t seconds is given by the formula:

Use the equation above to answer questions about a model rocket is launched from the ground into the air with an initial velocity of 352 feet per second. Use the graph below to help answer the questions.

Assessment Instructions

Show and explain all steps in your responses to the following parts of the assignment. All mathematical steps must be formatted using the equation editor.

Part 1: Create the equation for the height of the rocket after t seconds.

Part 2: Find the time it takes for the rocket to reach a height of 0. Interpret both solutions.

Part 3: Find the time it takes to reach the top of its trajectory.

Part 4: Find the maximum height.

Part 5: Find the time it takes to reach a height of 968 feet. Round your answer to the nearest tenth.

2) Module 06 Assignment – Glazed Icing Rational Algebraic Expressions

Module 06 Assignment – Glazed Icing Rational Algebraic Expressions

Module 06 Content

Scenario

Your donut shop has perfected a method for the perfect glazed icing by slowly mixing whole milk with confectioner’s sugar while exposed to low heat. Your mixing tank starts with 10 fluid ounces of milk and 10 ounces of sugar. You continue adding sugar at a rate of 10 ounces per minute and milk at 1 ounce per minute, as depicted by the two equations below:

Where S represents the number of ounces of sugar, M represents the ounces of milk, and t represents the time in minutes. The ideal icing will have a ratio of 8 ounces of sugar per ounce of milk.

Assessment Instructions

Show and explain all steps in your responses to the following parts of the assignment. All mathematical steps must be formatted using the equation editor.

Part 1: Create a rational equation to represent the concentration (C) in ounces of sugar per ounce of milk.

Part 2: Find the domain of the concentration equation.

Part 3: Will we ever encounter a time when the rational equation is undefined? Explain your reasoning.

Part 4: Calculate the concentration after five minutes.

Part 5: How long does it take to reach a concentration of 8 ounces of sugar per ounce of milk?

## Scenario A friend has given you left-over landscaping bricks. You decide to make

Scenario

A friend has given you left-over landscaping bricks. You decide to make a garden bed and surround it with the bricks. There are 62 bricks, and each brick is 8 inches long. You would like the garden bed to be slightly more than twice as long as it is wide, as shown in the diagram below. You have also given yourself a budget of $125 for additional materials should you need them. Your local home improvement store sells the same bricks for $1.98 per brick. The displayed sides present the number of bricks on each side, where x is a number of bricks.

this is 2x+1

Show and explain all steps in your responses to the following parts of the assignment. All mathematical steps must be formatted using the equation editor.

Part 1: Write an equation representing the perimeter of the garden bed.

Part 2: Calculate how many bricks are used on each side.

Part 3: Determine the length of each side.

Part 4: Write an inequality that represents how many bricks can be purchased within your budget.

Part 5: Will you be able to make another complete layer of bricks on top and stay within your budget?

## omplete this Unit’s Problems Assignment. To complete the assignment, follow thes

omplete this Unit’s Problems Assignment. To complete the assignment, follow these instructions:

Open the attached Problems Word document by clicking on the link below.

Provide answers to each of the questions by typing them into the Word document.

You must show your work. You can accomplish this in different ways:

You may type the steps you used to solve the problem directly on the Word document OR

You may handwrite your work on a separate piece of paper and either

take a photo with your phone and insert the image into your document OR

scan your paper and insert or attach the image with your completed document

When you are finished with your answers, save the Word document with the following filename format:

[yourlastname]_MA109_Unit#

To submit the assignment, click on the assignment name above to display the assignment submission area.

## What do the following people have in common? Carl T. Rowan, a columnist for the

What do the following people have in common?

Carl T. Rowan, a columnist for the Washington Post

Lewis Carroll (Charles Dodgson) author of Alice in Wonderland

Christopher Wren, the architect of St. Paul’s Cathedral in London

Virginia Wade, tennis player, Wimbledon champion

Lawrence Leighton Smith, conductor, and pianist

Take your findings and write a fiction story incorporating the facts into it. Your story must tell the true story of a topic in algebra. Devise a plan to share this activity with your students. Make sure to include a self-reflection of the plan.

## Week 4 Discussion 11 unread reply.11 reply. Visit the websites http://www.math.c

Week 4 Discussion

11 unread reply.11 reply.

Visit the websites http://www.math.com (Links to an external site.)Links to an external site. (Links to an external site.), www.purplemath.com (Links to an external site.)Links to an external site. (Links to an external site.), and www.hippocampus.org (Links to an external site.)Links to an external site. (Links to an external site.) and spend time looking through what each website has to offer. In your own words, assess the websites:

What does each website offer in terms of help? (Provide specific examples from each site).

What website is your favorite? What did you like most about this site? (Be specific!)

Which of the three websites do you find the least helpful (whether its format, content, etc.)? Why?

If you were in charge of developing a math course, which of these websites would you recommend and why (you can recommend all three, just two, just one, or none!)? Support your answer.

Discussion Expectations:

The minimum requirements for class discussions are to respond directly to the discussion prompt and to respond to at least two other posts, by other students or the instructor, by the end of the week. The discussion will close on the due date and will NOT be reopened for a late submission.

Submit one main post responding directly to each part of the discussion prompt(s) by Thursday at 11:59 PM ET.

This should be a substantive response (between 75 -150 words minimum) to the topic(s) in your own words, referencing (using APA format) what you have discovered in your required reading and other learning activities.

You may use resources in addition to your textbook that supports your post(s); however, you must mention the source(s) that you used in your post(s) using APA format in-text citations and reference lists. You can review APA formatting here: https://library.an.edu/apastyle (Links to an external site.) (Links to an external site.)

## Assignment Instructions M4 Assignment: Financial Statement Financial Report Mone

Assignment Instructions

M4 Assignment: Financial Statement

Financial Report

Money is a central concept for everyone no matter what age you are. In this project you will explore exponents using the compound interest formula to make conclusions on investments.

In this project you will:

Use exponents to calculate the amount of interest earned on an investment.

Evaluate formulas with exponents.

Convert interest rates to decimals.

Apply the order of operations.

To complete this project you will:

Complete the Financial Report Worksheet to guide you in developing your budget. Be sure to show all work!

Complete a 2 page, double spaced, APA formatted report. In the report you need to present your findings and explain your conclusions on interest rates and compounding frequency. Thoughts to include in the report include: Is a savings account a good way to earn interest? When looking at opening a savings account what should you look for: higher interest rate or more frequent compounding?

Be sure to cite your sources for the interest rates from the chosen financial institution!

Length/Formatting Instructions

Length2 pages, 400-500 wordsFont12 point, Calibri Font, no more than 1″ marginsProgram/File TypeSubmit in WordAttachmentsShould be pasted into the Word document if possible.Referencing systemAPA referencing system is necessary in assignments, especially material copied from the Internet.

For examples of correct citations, visit the following links:

http://owl.english.purdue.edu/owl/resource/560/01/

File Name

M4 Assignment Grading Rubric

Your work will be evaluated on the following criteria:

CATEGORYExemplarySatisfactoryUnsatisfactoryUnacceptablePresentation Style – Organization, Transitions, Tone (10 Points)10 points

The assignment is presented with excellent organization, thoughtful transitions, and the appropriate tone.8 points

The paper is adequately organized, but has some errors in the transitions or the tone.4 points

The paper is poorly organized, or it contains ineffective transitions and/or inappropriate tone.0 points

The paper displays little to no organization or transitions, and/or does not use the appropriate tone.APA Format – Citations and References (5 Points)5 points

All sources used for quotes and facts are credible and cited, and the references and in-text citations are all properly formatted. Each reference has an in-text citation and in-text citation has a reference.4 points

All sources used for quotes and facts are credible and cited, but slight errors are present in the format of the in-text citations or references. Or there may be one in-text citation or reference missing.2 points

Some sources used for quotes and facts are either not credible or there are significant errors in the in-text citations and/or references. Or there are multiple missing in-text citations or references.0 points

The sources used for quotes and facts are not credible and/or not cited. The in-text citations and/or references are not present.Application to the Real World (40 points)40 points

The response indicates a high level application of compound interest. The paper demonstrates a complete understanding and analysis of interest rates and the compound interest formula.32 points

The response indicates a basic application of compound interest. The response demonstrates a clear understanding and analysis of interest rates and the compound interest formula.16 points

The response indicates an incomplete application of compound interest. The response demonstrates a conceptual understanding and analysis of interest rates and the compound interest formula.0 points

The response indicates little or no application and analysis of compound interest.Accuracy (45 points)45 points

The entire assignment was completed with dedicated attention to the directions. Outstanding effort and work exceeds expectations. All work is shown and calculations are accurate.36 points

Most of the assignment was completed with attention to the directions but some parts are missing. Good effort and work meets expectations. Most calculations are accurate.18 points

Assignment was completed but attention to the directions was spotty or parts of the assignment are missing. Some effort was made and work meets minimal expectations. Only some calculations are accurate.0 points

Assignment is incomplete and/or directions were not followed. Lacks many elements. Appears that little or no effort was made. Calculations are not accurate.

Assignment Instructions

M4 Assignment: Financial Statement

Financial Report

Money is a central concept for everyone no matter what age you are. In this project you will explore exponents using the compound interest formula to make conclusions on investments.

In this project you will:

Use exponents to calculate the amount of interest earned on an investment.

Evaluate formulas with exponents.

Convert interest rates to decimals.

Apply the order of operations.

To complete this project you will:

Complete the Financial Report Worksheet to guide you in developing your budget. Be sure to show all work!

Complete a 2 page, double spaced, APA formatted report. In the report you need to present your findings and explain your conclusions on interest rates and compounding frequency. Thoughts to include in the report include: Is a savings account a good way to earn interest? When looking at opening a savings account what should you look for: higher interest rate or more frequent compounding?

Be sure to cite your sources for the interest rates from the chosen financial institution!

Length/Formatting Instructions

Length2 pages, 400-500 wordsFont12 point, Calibri Font, no more than 1″ marginsProgram/File TypeSubmit in WordAttachmentsShould be pasted into the Word document if possible.Referencing systemAPA referencing system is necessary in assignments, especially material copied from the Internet.

For examples of correct citations, visit the following links:

http://owl.english.purdue.edu/owl/resource/560/01/

File Name

M4 Assignment Grading Rubric

Your work will be evaluated on the following criteria:

CATEGORYExemplarySatisfactoryUnsatisfactoryUnacceptablePresentation Style – Organization, Transitions, Tone (10 Points)10 points

The assignment is presented with excellent organization, thoughtful transitions, and the appropriate tone.8 points

The paper is adequately organized, but has some errors in the transitions or the tone.4 points

The paper is poorly organized, or it contains ineffective transitions and/or inappropriate tone.0 points

The paper displays little to no organization or transitions, and/or does not use the appropriate tone.APA Format – Citations and References (5 Points)5 points

All sources used for quotes and facts are credible and cited, and the references and in-text citations are all properly formatted. Each reference has an in-text citation and in-text citation has a reference.4 points

All sources used for quotes and facts are credible and cited, but slight errors are present in the format of the in-text citations or references. Or there may be one in-text citation or reference missing.2 points

Some sources used for quotes and facts are either not credible or there are significant errors in the in-text citations and/or references. Or there are multiple missing in-text citations or references.0 points

The sources used for quotes and facts are not credible and/or not cited. The in-text citations and/or references are not present.Application to the Real World (40 points)40 points

The response indicates a high level application of compound interest. The paper demonstrates a complete understanding and analysis of interest rates and the compound interest formula.32 points

The response indicates a basic application of compound interest. The response demonstrates a clear understanding and analysis of interest rates and the compound interest formula.16 points

The response indicates an incomplete application of compound interest. The response demonstrates a conceptual understanding and analysis of interest rates and the compound interest formula.0 points

The response indicates little or no application and analysis of compound interest.Accuracy (45 points)45 points

The entire assignment was completed with dedicated attention to the directions. Outstanding effort and work exceeds expectations. All work is shown and calculations are accurate.36 points

Most of the assignment was completed with attention to the directions but some parts are missing. Good effort and work meets expectations. Most calculations are accurate.18 points

Assignment was completed but attention to the directions was spotty or parts of the assignment are missing. Some effort was made and work meets minimal expectations. Only some calculations are accurate.0 points

Assignment is incomplete and/or directions were not followed. Lacks many elements. Appears that little or no effort was made. Calculations are not accurate.

Assignment Instructions

M4 Assignment: Financial Statement

Financial Report

Money is a central concept for everyone no matter what age you are. In this project you will explore exponents using the compound interest formula to make conclusions on investments.

In this project you will:

Use exponents to calculate the amount of interest earned on an investment.

Evaluate formulas with exponents.

Convert interest rates to decimals.

Apply the order of operations.

To complete this project you will:

Complete the Financial Report Worksheet to guide you in developing your budget. Be sure to show all work!

Complete a 2 page, double spaced, APA formatted report. In the report you need to present your findings and explain your conclusions on interest rates and compounding frequency. Thoughts to include in the report include: Is a savings account a good way to earn interest? When looking at opening a savings account what should you look for: higher interest rate or more frequent compounding?

Be sure to cite your sources for the interest rates from the chosen financial institution!

Length/Formatting Instructions

Length2 pages, 400-500 wordsFont12 point, Calibri Font, no more than 1″ marginsProgram/File TypeSubmit in WordAttachmentsShould be pasted into the Word document if possible.Referencing systemAPA referencing system is necessary in assignments, especially material copied from the Internet.

For examples of correct citations, visit the following links:

http://owl.english.purdue.edu/owl/resource/560/01/

File Name

M4 Assignment Grading Rubric

Your work will be evaluated on the following criteria:

CATEGORYExemplarySatisfactoryUnsatisfactoryUnacceptablePresentation Style – Organization, Transitions, Tone (10 Points)10 points

The assignment is presented with excellent organization, thoughtful transitions, and the appropriate tone.8 points

The paper is adequately organized, but has some errors in the transitions or the tone.4 points

The paper is poorly organized, or it contains ineffective transitions and/or inappropriate tone.0 points

The paper displays little to no organization or transitions, and/or does not use the appropriate tone.APA Format – Citations and References (5 Points)5 points

All sources used for quotes and facts are credible and cited, and the references and in-text citations are all properly formatted. Each reference has an in-text citation and in-text citation has a reference.4 points

All sources used for quotes and facts are credible and cited, but slight errors are present in the format of the in-text citations or references. Or there may be one in-text citation or reference missing.2 points

Some sources used for quotes and facts are either not credible or there are significant errors in the in-text citations and/or references. Or there are multiple missing in-text citations or references.0 points

The sources used for quotes and facts are not credible and/or not cited. The in-text citations and/or references are not present.Application to the Real World (40 points)40 points

The response indicates a high level application of compound interest. The paper demonstrates a complete understanding and analysis of interest rates and the compound interest formula.32 points

The response indicates a basic application of compound interest. The response demonstrates a clear understanding and analysis of interest rates and the compound interest formula.16 points

The response indicates an incomplete application of compound interest. The response demonstrates a conceptual understanding and analysis of interest rates and the compound interest formula.0 points

The response indicates little or no application and analysis of compound interest.Accuracy (45 points)45 points

The entire assignment was completed with dedicated attention to the directions. Outstanding effort and work exceeds expectations. All work is shown and calculations are accurate.36 points

Most of the assignment was completed with attention to the directions but some parts are missing. Good effort and work meets expectations. Most calculations are accurate.18 points

Assignment was completed but attention to the directions was spotty or parts of the assignment are missing. Some effort was made and work meets minimal expectations. Only some calculations are accurate.0 points

Assignment is incomplete and/or directions were not followed. Lacks many elements. Appears that little or no effort was made. Calculations are not accurate.

Assignment Instructions

M4 Assignment: Financial Statement

Financial Report

Money is a central concept for everyone no matter what age you are. In this project you will explore exponents using the compound interest formula to make conclusions on investments.

In this project you will:

Use exponents to calculate the amount of interest earned on an investment.

Evaluate formulas with exponents.

Convert interest rates to decimals.

Apply the order of operations.

To complete this project you will:

Complete the Financial Report Worksheet to guide you in developing your budget. Be sure to show all work!

Complete a 2 page, double spaced, APA formatted report. In the report you need to present your findings and explain your conclusions on interest rates and compounding frequency. Thoughts to include in the report include: Is a savings account a good way to earn interest? When looking at opening a savings account what should you look for: higher interest rate or more frequent compounding?

Be sure to cite your sources for the interest rates from the chosen financial institution!

Length/Formatting Instructions

Length2 pages, 400-500 wordsFont12 point, Calibri Font, no more than 1″ marginsProgram/File TypeSubmit in WordAttachmentsShould be pasted into the Word document if possible.Referencing systemAPA referencing system is necessary in assignments, especially material copied from the Internet.

For examples of correct citations, visit the following links:

http://owl.english.purdue.edu/owl/resource/560/01/

File Name

M4 Assignment Grading Rubric

Your work will be evaluated on the following criteria:

CATEGORYExemplarySatisfactoryUnsatisfactoryUnacceptablePresentation Style – Organization, Transitions, Tone (10 Points)10 points

The assignment is presented with excellent organization, thoughtful transitions, and the appropriate tone.8 points

The paper is adequately organized, but has some errors in the transitions or the tone.4 points

The paper is poorly organized, or it contains ineffective transitions and/or inappropriate tone.0 points

The paper displays little to no organization or transitions, and/or does not use the appropriate tone.APA Format – Citations and References (5 Points)5 points

All sources used for quotes and facts are credible and cited, and the references and in-text citations are all properly formatted. Each reference has an in-text citation and in-text citation has a reference.4 points

All sources used for quotes and facts are credible and cited, but slight errors are present in the format of the in-text citations or references. Or there may be one in-text citation or reference missing.2 points

Some sources used for quotes and facts are either not credible or there are significant errors in the in-text citations and/or references. Or there are multiple missing in-text citations or references.0 points

The sources used for quotes and facts are not credible and/or not cited. The in-text citations and/or references are not present.Application to the Real World (40 points)40 points

The response indicates a high level application of compound interest. The paper demonstrates a complete understanding and analysis of interest rates and the compound interest formula.32 points

The response indicates a basic application of compound interest. The response demonstrates a clear understanding and analysis of interest rates and the compound interest formula.16 points

The response indicates an incomplete application of compound interest. The response demonstrates a conceptual understanding and analysis of interest rates and the compound interest formula.0 points

The response indicates little or no application and analysis of compound interest.Accuracy (45 points)45 points

The entire assignment was completed with dedicated attention to the directions. Outstanding effort and work exceeds expectations. All work is shown and calculations are accurate.36 points

Most of the assignment was completed with attention to the directions but some parts are missing. Good effort and work meets expectations. Most calculations are accurate.18 points

Assignment was completed but attention to the directions was spotty or parts of the assignment are missing. Some effort was made and work meets minimal expectations. Only some calculations are accurate.0 points

Assignment is incomplete and/or directions were not followed. Lacks many elements. Appears that little or no effort was made. Calculations are not accurate.

Assignment Instructions

M4 Assignment: Financial Statement

Financial Report

Money is a central concept for everyone no matter what age you are. In this project you will explore exponents using the compound interest formula to make conclusions on investments.

In this project you will:

Use exponents to calculate the amount of interest earned on an investment.

Evaluate formulas with exponents.

Convert interest rates to decimals.

Apply the order of operations.

To complete this project you will:

Complete the Financial Report Worksheet to guide you in developing your budget. Be sure to show all work!

Complete a 2 page, double spaced, APA formatted report. In the report you need to present your findings and explain your conclusions on interest rates and compounding frequency. Thoughts to include in the report include: Is a savings account a good way to earn interest? When looking at opening a savings account what should you look for: higher interest rate or more frequent compounding?

Be sure to cite your sources for the interest rates from the chosen financial institution!

Length/Formatting Instructions

Length2 pages, 400-500 wordsFont12 point, Calibri Font, no more than 1″ marginsProgram/File TypeSubmit in WordAttachmentsShould be pasted into the Word document if possible.Referencing systemAPA referencing system is necessary in assignments, especially material copied from the Internet.

For examples of correct citations, visit the following links:

http://owl.english.purdue.edu/owl/resource/560/01/

File Name

M4 Assignment Grading Rubric

Your work will be evaluated on the following criteria:

CATEGORYExemplarySatisfactoryUnsatisfactoryUnacceptablePresentation Style – Organization, Transitions, Tone (10 Points)10 points

The assignment is presented with excellent organization, thoughtful transitions, and the appropriate tone.8 points

The paper is adequately organized, but has some errors in the transitions or the tone.4 points

The paper is poorly organized, or it contains ineffective transitions and/or inappropriate tone.0 points

The paper displays little to no organization or transitions, and/or does not use the appropriate tone.APA Format – Citations and References (5 Points)5 points

All sources used for quotes and facts are credible and cited, and the references and in-text citations are all properly formatted. Each reference has an in-text citation and in-text citation has a reference.4 points

All sources used for quotes and facts are credible and cited, but slight errors are present in the format of the in-text citations or references. Or there may be one in-text citation or reference missing.2 points

Some sources used for quotes and facts are either not credible or there are significant errors in the in-text citations and/or references. Or there are multiple missing in-text citations or references.0 points

The sources used for quotes and facts are not credible and/or not cited. The in-text citations and/or references are not present.Application to the Real World (40 points)40 points

The response indicates a high level application of compound interest. The paper demonstrates a complete understanding and analysis of interest rates and the compound interest formula.32 points

The response indicates a basic application of compound interest. The response demonstrates a clear understanding and analysis of interest rates and the compound interest formula.16 points

The response indicates an incomplete application of compound interest. The response demonstrates a conceptual understanding and analysis of interest rates and the compound interest formula.0 points

The response indicates little or no application and analysis of compound interest.Accuracy (45 points)45 points

The entire assignment was completed with dedicated attention to the directions. Outstanding effort and work exceeds expectations. All work is shown and calculations are accurate.36 points

Most of the assignment was completed with attention to the directions but some parts are missing. Good effort and work meets expectations. Most calculations are accurate.18 points

Assignment was completed but attention to the directions was spotty or parts of the assignment are missing. Some effort was made and work meets minimal expectations. Only some calculations are accurate.0 points

Assignment is incomplete and/or directions were not followed. Lacks many elements. Appears that little or no effort was made. Calculations are not accurate.