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# Consumer Mathematics

### Ratio & Proportion

Explain how to set up and solve the following This is a table compartment a b c d proportion .25 .20 .35 .30 Suppose Alrik determines that his gerbil spends time in the four compartment A,B, C, and D in the ratio 4:3:2:1. What proportions should he fill in the table above? Is

### Write the ratio in lowest terms

Write the ratio in lowest terms: 4 1/4 pounds to 5 pounds

### Recycling Newspapers to Raise Money

A high school class wants to raise money by recycling newspapers. The class decided to rent a truck at a cost of \$150 for the week. The market price for recycled newspapers is \$15 per ton. Write an equation representing the amount of money the class will make based on the number of tons of newspapers collected.

### What single investment made today, earning 12% annual interest, will be worth \$6,000 at the end of 6 years?

A. What single investment made today, earning 12% annual interest, will be worth \$6,000 at the end of 6 years? B. What is the present value of \$6,000 to be received at the end of 6 years if the discount rate is 12% C. What is the most you could pay today for a promise to repay you \$6,000 at the end of 6 years if your op

### Simplify 4x+12/x+3

Simplify 4x+12/x+3

### Mathematics: Time Value of Money

A 9 million dollar contract that stipulates equal payments to be made monthly over a period of five years. To determine what such a contract is worth today, you would need to use Choices are present value factors future values factors presnt value factors of an annuity future value factors of an annuity

### Changing Converted Fractions

How do we get rid of the fractions that are involved in solutions? How do we go about doing that?

### Solve: Ratio and Proportion

1. A lawyer bills her clients \$250 per hour of service. If a client's case requires 47 hours to complete, use proportion to calculate how much the client will owe the lawyer (excluding tax). 2. A new virus is released on the internet; the administrator of a department's Local Area Network ( LAN) is given five minutes by a ma

### Continued Fractions

Show that each of the following holds: [1,1,1,1,1,1,....]^2 = [2,1,1,1,1,1,....] [1,2,2,2,2,2,....]^2 = [2] [1,1,1,1,1,1,....][0,1,1,1,1,1,....] = [1] In each case make a conjecture about a possible generalisation, and explore it (i.e. attempt to prove your conjectures true or false). Note:We can write down any

### Solve

1. 2x - 5 / (x - 2)(x + 6) + x^2 - 2x + 1 / (x - 2)(x + 6) 2. y + 4 - y - 2 ------- ------ 10 14 3. 2/(x-3) + 3/(3-x) 4. 3 - c - 4 - 5

### Sales Tax

How much is 5¼% sales tax on a \$2500 new computer?

### Evaluating Fractions with Division

243/ 64 / (-27/24) = ?

### Ratio and Proportion, geometry,

Problem #'s 1-20, these I need help completing Multiple Choice Algebraic problems 1. A baseball team wins 11 of its 25 games with no ties. Write the ratio of wins to losses. A) 11/25 B) 25/11 C) 11/14 D) 14/11 2. Find the rate: 392 feet / 8 seconds A) 49 ft/s B) 0.02 ft/s C) 294 ft/s D) 94 ft/s 3.

### Game Show Riddle

The Task: Solve the following problem in ESSAY form. The essay should answer the following questions: 1- How did you get your answer? 2- What steps did you take? 3- Where did you begin? Why did you do what you did? and 4- Explain in detail the answer to the problem? The Problem: What is the maximum amount of money a

### Real-Life Applications of Ratios and Proportions

Describe an application for the use of ratios or proportions and how it could be useful in your daily life?

### Four Fractions Problems

Write your final answers using mixed numbers, proper fractions, or whole numbers, as appropriate. Decimal answers may not be used. Example of a satisfactory answer: Each rest stop lasts of an hour. How many hours will you need for the rest stops? Show your calculation. Express your answer as a mixed number in lowest

### Word Problems Requiring Addition / Multiplication of Fractions

As a bonus, your boss has given you an extra 2 weeks of vacation to travel to Orlando, Florida and spend some time seeing the attractions. She is even letting you use a company car. However, you need to follow some travel guidelines to be able to use the car for free. This is going to take some planning. Here is an overview

### Write all answers in lowest terms.

Please see attached file for full problem description. Problems #'s 18, 38, 44, 50 these I need help completing Add. Write all answers in lowest terms. 18. 13/18 + 11/18 Evaluate each of the following. Write all answers in lowest terms. 38. 9/11 - 3/11 44. Number problem. One task took 7 minutes (min), a second

### Ratio, Proportion, Trends and Forecasting

The Bunny Number Oney rabbit farm noticed that the rate of increase in rabbits on the farm was directly proportional to the number of rabbits at the farm at any time t. It was further noticed that the number of rabbits increased from 200 to 400 in 60 days. a. How many more days will it take to have 800 rabbit on the farm? b

### Fractions and Ratios : Parts Per Billion

Show that an SO2 atmospheric concentration of 0.2 ppb(v) is equivalent to 0.4 ppb(w) stands for weight and ppb(w) refers to the number of tonnes (or grams) of SO2 in 10^9 tonnes (or grams) of air. The (v) of ppb (v) stands for volume. The ppb stands for parts per billion. Every unit volume of atmospheric air contains (on

### Word Problem : Together and Alone

Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they complete in one day by working together. Evaluate the expression for x=5

### Subtracting and Simplifying Rational Expressions

Please show all steps to subtract and simplify equation. 2 - 5 x - 1 x + 1

### Simplifying fractions in lowest terms

Express as a single fraction in lowest terms: 2+ ((4w + 5t)/3w) + (w + t)/2w

### Partial Fractions Formatted Problems

(6x^2 + 4x + 4) / (x^3 + 2x^2) Please see the attached file for the fully formatted problem.

### Consumer Math - Interest Rates

See attached file for full problem description.

### Translate the English sentence into an equation using the variables indicated

Translate the English sentence into an equation using the variables indicated: The ratio of brick houses to wooden houses in a particular city is 5 to 11. Let b = the number of brick houses and w = the number of wooden houses.

### write equal fractions but with different denominators

Is it possible to write equal fractions but with different denominators?

### Description of Interest and the Time Value of Money

Michael invested \$25,000, part at 5% and part at 2%. If the total interest at the end of the year is \$980, how much did he invest at 5%?

### How much money must the club collect in order for the total amount for the charity, including the company contribution to equal \$24,000?

A certain club is collecting money for a charity. A local company has agreed to contribute \$1 to the charity for every \$3 collected by the club. How much money must the club collect in order for the total amount for the charity, including the company contribution to equal \$24,000?

### Volumes, Areas, Ratios and Proportions

See the attached file. 38. if the circumference of a great circle of the Earth is about 40,000 km. The atmosphere of the Earth has an altitude of about 550 km. Find the volume of the Earth and its atmosphere. 39. A steel gas tank has the shape of a sphere. A radius of the inner surface of the tank is 2 feet long. The tank