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# Consumer Mathematics

### Time Value of Money

1. Housing rates have rapidly increased, and you have decided to save to buy your first house. You expect to save \$1500 per month at the end of each month for the next 3 years, investing these funds in a mutual fund you expect to earn 6.5% interest, compounded monthly. At the end of three years of savings, you will buy the hou

### Speed and Distance Word Problems

3. In two hours, Allice drove her car the same distance that Gene drove his car in 2 hours and 30 minutes. Find the speed of Gene's car given that he drove 10 mph slower than Alice drove. 4. A cruiser and a submarine leave the same port at the same time and travel eastward. The cruiser average 18 mph and the submarien 42 m

### This is a financial problem

1) You are saving for the college education of your two children. One child will enter college in 5 years, while the other child will enter college in 7 years. College costs are currently \$10,000 per year and are expected to grow at a rate of 5 percent per year. All college costs are paid at the beginning of the year. You assume

### This is a financial management problem

1) I am saving for my two children. One child will enter college in 5 years, while the other child will enter college in 7 years. College costs are currently \$10,000 per year and are expected to grow at a rate of 5 percent per year. All college costs are paid at the beginning of the year. I assume that each child will be in coll

### Time Value of money

You would like to take a cruise in six years. The cruise currently costs \$4,250. You expect the price to increase by 4% annually. You can earn 5% on your savings. How much do you need to save at the end of each month so you will be able to afford your cruise in six years?

### Improper Fractions and Addition and Subtraction of Fractions

Leave the answer as improper fraction 1) 8/35-11/35+17/35 2) 4 6/7 + 2 8/11 3) 6 19/21 -(-2 1/3) 4) 7 2/7 - 4 5) 9/13 + 3 1/4 6) 3 7/12 - (15/12-9/12) 7) -3 5/9 - 2 1/7 + 4 2/3 8) 11/12+5/12 - x = 9/12 9) 4 7/8 + 1 3/5 - x = 3 39/40 evaluate 7x/15 - 2x/9=

### Word problem on Man hours

It usually takes John 3 hours longer to do the monthly payroll than it takes Peter. They start working on it together at 9am and at 5pm, they have 85% of it done. If John took a 2-hour lunch break while Peter had no lunch, then how much longer will it take for them to finish the payroll working together?

### Obtaining Data from a Frequency Table

A consumer's group checked the gasoline mileage (to the nearest mile per gallon) on 25 different cars. The following gives a summary of the findings: Miles Per Gallon Frequency Less than 15 2 16-20 4 21-30

### 15 Problems : Rational expressions solving equations with radical exponents, Solving equations and Ratio and proportion

Solve each equation 12. 48. Solve each equation 29. 30. 37. 39. Solve each proportion 30. 47. Basketball blow out. As the final buzzer signaled the end of the basketball game, the Lions were 34 point ahead of the Tigers. If the Lions scored 5 points for every 3 scored by the tigers

### 5 Consumer Mathematics Problems: WACC, Repurchase of stock, Treasury bond, Stock price, Price of bonds

1) Acetate, Inc., has equity with a market value of \$20 million and debt with a market value of \$10 million. The cost of the debt is 14 percent per annum. Treasury bills that mature in one year yield 8 percent per annum, and the expected return on the market portfolio over the next year is 18 percent. The beta of Acetate's equit

### Ratio and Proportion Application Word Problem - Volume of wood in a tree varies jointly as the height and the square of the girth.

The volume of wood in a tree varies jointly as the height and the square of the girth. Girth is the distance around. If the volume is 35 cubic feet, when the height is 20 feet and the girth is 5 feet, what is the height when the volume is 85.75 cubic feet and the girth is 7 feet?

### Extreme-Means Property and Ratio and Proportion

Using Extreme-Means property, Solve each proportion (Four Problems) 45. Voting. If 220 out of 500 voters surveyed said that they would vote for the incumbent, then how many votes could the incumbent expect out of the 400,000 voters in the state? 60. Bear Population. To estimate the size of the bear population on the Ke

### Word Problem : Complete a table and write a rational expression involving rate.

Kent can Paint a certain house by himself in x days. His helper Keith can paint the same house by himself in x + 3 days. Suppose that they work together on the job for 2 days. To complete the table, use the fact that the work completed is the product of the rate and the time. Write a Rational expression for the fraction of th

### Ratio and Proportion : Elk and Fuel Efficiency

1. Park rangers catch, tag, and then release 140 elk back into a national park. One month later, they select a sample of 130 elk, 91 of which are tagged. Assuming the ratio of tagged elk in the sample holds for all elk in the park, approximately how many elk are in the park? 2. The formula M = 0.0075x2 - 0.2676x + 14.8 mode

### Fraction Application Problem

The amount of the ingredients needed to make 3 and 5 servings of rice are: to make rice and water salt butter _________________________________________ 3 servings 1 cup 3/8 tsp 1 1/2 tsp 5 servings 1 2/3 cup 5/8 tsp 2 1/2 tsp Find the amount of each ingredient

### Earned the most money

1)Jack earned twice as much as Mary and Jill earned \$8 more than Mary. Who earned the most money? Explain why. 2)A tire dealer sells 2 tires for as much as he paid for 3 tires. He paid \$240 for a dozen tires. What is the total profit on 12 tires? (See attachment for other two questions)

### Understanding the Basics of Fractions

Explain how you would help students understand that 3/4 is the same as 0.75. Include in your development a translator to 75/100 and from that form to the decimal from using models fo each translation. Also, how would you teach students to compare the fractions 3/7 and 5/8 without using models or cross-multiplying to identify whi

### Financial Problem: Determining the Firm's Economic Order Quantity

Tool Mart sells 1400 electronic water pumps every year. These pumps cost \$54.30 each. If annual inventory carrying costs are 12% and the cost of placing an order is \$90, what is the firm's EOQ? (Q*= Sq root of 2(S)(D)/C)Also: (C = Inventory carrying cost X cost of frames)

### Financial Problem: Determining Interest Savings

Pronet has annual sales of \$724 million from its 600 retail stores. Pronet can reduce its mail float by 2 days through the use of wire transfers. The annual cost of the wire transfers is expected to be \$105,610. If Pronet's cost of short-term funds is 9.75 percent, should the change to wire transfers be made? Assume 365 days per

### Mathematical Modelling; Modelling Cycle

Consider the following situation: {see attachment} Develop a mathematical model which describes the contractors profit from the days work [a very simple model will do]. Then show how, using the modelling cycle, this model might be revised into a sequence of successively more sophisticated mathematical models, which show how the

### Applications of ratios and proportions

The Golden Ratio. The ancient Greeks thought that the most pleasing shape for a rectangle was one for which the ratio of the length to the width was 8 to 5, the golden ratio. If the length of a rectangular painting is 2 ft longer than the width, then for what dimensions would the length and width have the golden ratio? Let x=

### I need help with these problems, I will give examples for each one,,,,

For O.T.A 103997,,, Example 1,, find the LCD for the given rational expression, and convert into an equivalent rational expression with the LCD as the denominator, X Y 1 - - - 9y5z, 12x3, 6x2y Example 2,, find the LCD for the given rational expression, and convert this rational expression into an

### Lorenz Equations and Equilibrium

Please see the attached file for the fully formatted problems. Show that for , the equilibrium (x*, y*, z*) = (0, 0, 0) is globally (nonlinearly) stable for the Lorenz system. That is, any (x(t), y(t), z(t)) would eventually approach (0, 0, 0) as . Consider the "volume" (a) Show that, using the Lorenz equations

### Example Word Problem: Fractions

Mr. and Mrs. Samuel visited Florida and purchased 120 oranges. They gave 1/4 of them to relatives ate 1/12 of them in the hotel and gave 1/3 of them to friends. They shipped the rest home to Illinois. a. How many oranges did they ship? b. If it costs 24 cents for each orange to be shipped to Illinois, what was the total ship

### Ratio and Proportion: Cat-Mice Problem

Five cats can catch 5 mice in 5 minutes. At this rate, how many cats are needed to catch 100 mice in 100 minutes? (Hint: it is not 100.)

### Linear equations: Word problem. Bill owns a bike company, and wants to know how many bicycles and tricycles he should manufacture, with no leftovers, and how many boxes of seats he will order. (details given in actual problem)

Bill runs Bill's Big Bikes, a company that manufactures bicycles and specialty adult-sized tricycles. The bicycles and tricycles use the same-sized wheels and identical seats. Right now, Bill has 68 wheels in the shop and needs to order seats. Unfortunately, the company that supplies the seats will only ship seats in boxes of

### Calculating price based on a consumer price index.

The consumer price index for a new car in 1990 was 110.2, and in 1995 it was 136.5. If the price of the car was \$12,880 in 1990, what was the price in 1995? a. \$15,362 b. \$15,954 c. \$16,060 d. \$16,267

### Simulating Real Plant Growth

Assuming that plant grows in 8 steps at the 0.45 rate and that the first stem lenght is 20mm - This is what I have so far: 1/ I made a table showing the length of the plant's stem at the end of each step. 2/ I made a graph of the values in the table 3/ I, of course, wrote a formula representing the growth for each step: new

### Ratios and proportions..

What are ratios and proportions?