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Consumer Mathematics

Fractions Word Problems and Writing Equations from Word Problems

Allison is saving money to buy a video game system. In the first week, her savings were $8 less than 2/5 the price of the system. In the second week, she saved 50 cents more than 1/2 the price of the system. She was still $37.00 short. Find the price of the system.

Fractions and LCM Word Problems

A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened. If both pipes are accidentally opened when the tank is full, then how long will it take to empty the tank? keywords: least, lowest common mu

Fractions Word Problem

World grain demand. Freeport McMoRan projects that in 2010 world grain supply will be 1.8 trillion metric tons and the supply will be only 3/4 of world grain demand. What will world grain demand be in 2010?

Five problem of Consumer Mathematics

1. 2 sizes of Jam 14 ounces for $1.29 or 32 ounces for $2.99 Which is the better buy? 2. The price of bread increased $1.39 to $1.49. To the nearest tenth of a percent what is the increase? 3. A college had a 1.5% decrease in students. If there were 22,400 students before the decrease how many students are there now?

application of fraction

Attendance at the Fireman's Ball has been declining. Each year, the number attending is 2/3 of the previous year's attendance and the cost of food is 3/4 that of the previous year. 1) In what year will the attendance be less than 1/3 the original attendance? 2) There was $1,200.00 worth of food the first year. What is the d

Fractions : Together and Alone Word Problems

Working together to get the job done. Betty and Frank, working together , can paint the exterior of a house in 3 days. Frank, by himself, can complete the job in 8 days less than Betty. How long will it take Betty to complete the job by herself?

Derive Wave Equation Dimensions

Derive the wave eqation in 2 dimension. Give and and sovle any two examples of problem for wave eqn in 2D. Note: Please derive the equn in such a way that any one with basic understanding of PDE would easly grasp the procedure. make comment where needed. Thanks

Fractions Word Problems

1. Map is laid out in such a way that 1/2 inch equals 11 1/4 miles. How many miles are represented by 5.4 in? 2. If eggs cost 81 cents a dozen, how much would 2/3 dozen cost? 3. Williams sends 1/4 of his pay home each month. If his wife saves 1/3 of the amount he sends, what part of his pay is saved. 4. For the first three mo

Sum of infinite series

Please use Partial Fractions to find the sum of the series below. Please show/explain each step in the solution. Thank you ∞ ∑ ________6________ n=1 (2n - 1) (2n + 1 )

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?

Ratio and proportion

Solve each proportion 1. 9/x = 3/2 2. 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 its width, then for what dimensions would the leng

Ratios and proportions

Please explain the following ratios and proportions: 1) 45 cm to 1 m 2) 10xy+ 2y/4y 3)(9x-6y)/3 4)(2x*2y/4y) 5) (x+y)/(x*2-y*2) 6) (x*2+7x+12)/(x+4)

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

Polynomial Fractions Function

1. Solve _________ 2/x +4 = 5 2. Solve 1 1 3 ------ + ---- = ---- 2x -4 x-2 2 3. x^2 + 3x -10 x^2 - x - 2 ----------------- -:- ------------ x^2 - 2x-35 x^2 - 6x -7 4. x 3 ------