Develop a short (5 minutes or less) video that covers any of the following concepts: rational expressions, linear equations, simplifying complex numbers, square roots of negative numbers, quadratic equations, polynomial equations using multiple methods, and radical equations.

The PowerPoint must include the following:

Introduction of a concept, Summary of the concept/objective in your own words, and an example to illustrate the concept/objective.

PowerPoint must be in the form of a presentation.

# Category: Algebra homework help

Kelly has 36 coins in her purse, only nickels and quarters. She has eight more quarters than nickels. How many nickels and quarters does she have?

Choose one learning objective from the learning outcomes that you are excited to learn about and research it to see how you would use that learning objective in the real world. List reference(s) and include a specific example of who would be using the learning objective in their daily life. Your response should be one paragraph and at least 250 words.

This is a graded discussion: 100 points possible

due Dec 4

Module 2 Discussion: A Formula Investigation

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Module2A Formula Investigation

Discussion

Please read through all sections before proceeding to the next page and refer back whenever necessary.

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Introduction

Formulas are models of problem solutions. In Module 1, you learned how to evaluate and manipulate formulas from many different application areas. This allows you to use a formula in many ways. Specifically, if there are n variables in the formula, there are n different representations of it. You can solve any of the n variables in terms of the (n-1) other variables to solve even more problems without rethinking the process. Thus, formulas allow you to reach solutions more quickly. Formulas can help you predict solutions also.

This module week, you will work with a specific formula to investigate what happens when a variable value in the formula is changed. Recall that I = PRT is the formula for simple interest where I is the simple interest accumulated from multiplying the original amount of money, Principal, by the interest rate per year given as a percent, and Time, in years.

The total amount of money, A, you accumulate at the end of T years, if you are saving money, is given by the formula A = P + I. This is the same formula for the amount of money you have paid back on a loan after T years.

Borrowing and saving money are things you are going to do throughout life. This formula is only the tip of the iceberg for financial literacy. Let’s have some fun with it!

Before taking out a loan, it is essential to know the repayment terms and how your interest rate and the time of the loan will affect the total loan balance. For simplicity, you are using the flat rate method where each monthly payment contains an equal principal and interest amount. This is not an amortization problem.

In this discussion, you will examine how a formula is used to explain the effects of changing variable values.

Please proceed to the Prepare section.

Prepare

Think of a big-ticket item you might need to take out a loan to purchase. Dream big! What have you always wanted? This could be a boat, car, motorcycle, or a trip around the world, but not a house. (A house loan has many other considerations.) Research the cost of this item and be sure to bookmark the link.

Review the terminology from pages 132-133 of the textbook if necessary. Think about any computational sub-steps that need to be taken. Note that in simple interest, the monthly payment is the same each month.

Select a reasonable interest rate for your item (between 2% and 10% is standard). It does not have to be a whole number. Then, select a time period to pay off your loan (between 3 and 12 years is common). It is standard to be a whole number.

Please proceed to the Initial Post section.

Initial Post

For your initial post, respond to the following prompts.

· Describe the item you are taking a loan out for and state the purchase price. For purposes of the assignment, assume the price includes all taxes, etc.

· Include the direct URL so your peers can view your big-ticket item.

· Using the simple interest formula, state your chosen interest rate and amount of time for your loan.

· Show the formula with numbers and describe the steps to compute the interest on the loan, I, and the total amount of the loan, A. You may use a calculator to perform the computations.

· Think about, then show the equations with numbers and describe the steps to compute the monthly payment, M, for the life of the loan. You may use a calculator to perform the computations.

· Explain one way to verify your monthly payment is correct. Show the formula and use a calculator for the computations.

Submit your initial post to the discussion by the fourth day of the module week. You must make your initial post before you can see your classmates’ posts.

Please proceed to the Response Prompts section.

Response Prompts

Read a selection of your classmates’ postings and reply to at least two using the following prompts. Your replies should address all parts of the prompt and be completed by the seventh day of the module week.

Reply 1

Respond to at least one classmate’s initial post by answering the following:

· Think about then show the formula with numbers for what happens to the interest, the total amount of a loan, and monthly payments of your classmate’s loan if the time was reduced by one and a half years at the start of the loan. You may use a calculator to perform the computations.

· Explain why your classmate will pay a different amount (more or less) for the loan in the end. Were you surprised by the results? Why or why not?

· If this was your loan and dream object, discuss one change you could make in your life to make the new monthly payment possible. What would you expect to happen if the time was increased at the start of your classmate’s loan? Why?

Reply 2

Respond to a different classmate’s initial post by answering the following:

· What do you think will happen if the interest rate provided in your classmate’s post was decreased by one percentage point at the start of the loan? Explain why.

· Confirm your answer. Show the formula with numbers and compute the new interest your classmate will pay with this new interest rate. You may use a calculator to perform the computations.

· Compare the interest of the two loans. Share with your classmate how much interest will be saved over the loan length.

Review the Discussion Rubric for detailed grading information.

Please proceed to the Why? section.

Why?

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The student will demonstrate the use of digitally enabled technology (including concepts, techniques, and tools of computing), mathematics proficiency and analysis techniques to interpret data for the purpose of drawing valid conclusions and solving associated problems.

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A friend has given you left-over landscaping bricks. You decide to make a garden bed and surround it with the bricks. There are 74 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 $150 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.

## What does the test measure?

What does the test measure?

How are the results used?

Who uses the results?

What is the procedure for administering and scoring the test?

Sources – APA format

Just two questions. NEEDS to be done by tomorrow, 8/12. Please submit an answer and I will pay upon completion; I’ve unfortunately had too many people not meet the deadline when paying beforehand.

Your donut shop has perfected a method for the perfect glazed icing by slowly mixing whole milk to 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 2 ounces per minute, as depicted by the two equations below:

S=10+10t

M=10+2t

Where S represents the number of ounces of sugar, M represents the ounces of milk, and t represents the time in minutes.

Where S represents the number of ounces of sugar, M represents the ounces of milk, and t represents the time in minutes.

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 where 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 4 ounces of sugar per ounce of milk?