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# Consumer Mathematics

### Tax deduction - Total Medical Cost

Tracy decided to choose an insurance plan, the monthly cost of which is \$18 and the deductible is \$500. The insurance pays 85% of all expenses after the deductible. The total expenses Tracy spends during the year is \$718.76. Tracy's total medical cost of the year with this plan is \$_______

### Ratio , Proportion and Measurement

Solve The Following Problems 1. Given that 1 acre equals 43,560 square feet, a rectangular area 1230 feel long by 675 feet wide is how many acres? 2. You plan to treat both sides of a roadway with 35 gallons of herbicide mix per acre. The treatment area is 2.6 miles long and the road shoulders are 35 feet wide. How much

### Simplifying Fractions: Examples

1. The sum of (3/ x + 2/y) 2. Express as a single fraction in simplest form (x+2)/ 4 - (x-3)/ 3 3. Express as a single fraction in lowest term: {(y^2-16) / (2y+6)}{(y+3)/(y-4)} 4. Perform the indicated operations and express the result in simplest terms: {(x+ 3) (x^2-x-6)} / {(2x+4) (2x+6)} {(x^2 + 5

### Lesson Plan for Fraction Equivalency

I know that working with models helps students conceptually understand mathematics they might otherwise simply memorize and apply. I need help to develop a lesson plan in which students are taught to manipulate and work with two models that show fraction equivalency: one area/region model and one length/set model. 1. Have

### Fraction Equivalency Lesson Plan

I know that working with models helps students conceptually understand mathematics they might otherwise simply memorize and apply. I need help to develop a lesson plan in which students are taught to manipulate and work with two models that show fraction equivalency: one area/region model and one length/set model. 1. Ha

### Consumer Math Concepts

Questions 1. Define the following: &#61607; Asset &#61607; Current asset &#61607; Liability &#61607; Current liability &#61607; Contributed capital &#61607; Retained earnings 2. Define a business transaction in the broad sense, and give an example of observable external, observable internal, and unobservable eve

### Statistical Problem Solving: Stimulation

What is the role of simulation in statistical problem solving? Can you provide two examples of simulation in SPS? What are the limitations of stimulation in SPS?

### Ratios and Proportions

**Please see the attached file for the fully formatted problems** Write each of the following ratios in simplest form. And explain your answer. The ratio of 7 oz to 3 lb

### Estimating the number of servers required

An administrator of a popular website is told that a new faster server, which will replace the old server, can handle 45,000 hits (users accessing the site) per second. The website currently experiences a peak demand of about 110,000 hits per second. But, every month, the peak demand increases by 2500 hits per second. Use a prop

### Consumer Mathematics: Consumer Price Index

An economy's consumer price index is described by the function I(t) = -0.2t^3 + 3r^2 + 100 where t=0 corresponds to 1995. (0 <= t <= 10) At what rate was the CIP changing in 2000? In 2001? In 2002?

### Mathematics - Functions and Graphs

The demand for a certain commodity is given by D(x) = -50x + 800; that is, x units of the commodity will be demanded by consumers when the price is p = D(x) dollars per unit. Total consumer expenditure E(x) is the amount of money consumers pay to buy x units of the commodity. a) Express consumer expenditure as a function

### Mathematics - Calculus - Consumer's Surplus

Consumers' Surplus p = D(q) is the price (dollars per unit) at which q units of a particular commodity will be demanded by the market (that is, all q units will be sold at this price), and q0 is a specified level of production. Find the price p0 = D(q0) at which q0 units will be demanded and compute the corresponding consume

### 'Is the American Money System Metric?' and 'Why do you think the metric system was not adopted as Congress proposed?'

Two students in your class are having an argument about the American money system. One claims it is an example of the metric system and the other claims it is not. How do you help settle the argument? In 1980 I was a middle-school math teacher. Congress passed the Metric Conversion Act which stated that the US of A would

### Productivity in Manufacturing : Time Study, Allowance Fraction and Labor Standard

Problem 1: A time study is performed on an operation, resulting in the data following (in minutes). Cycle Element 1 2 3 4 5 6 7 8 Performance Rating 1. Get and position unit 0.22 0.27 0.19 0.24 0.17 0.24 0.21 0.18 1.10 2. Perform calibration 2.20 2.70 2.50 3.

### Q thousand units of the commodity will be demanded at a price of p = D(q) dollars per unit, while q thousand units will be supplied by producers ...

Q thousand units of the commodity will be demanded at a price of p = D(q) dollars per unit, while q thousand units will be supplied by producers when the price is p = S(q). D (q) = 65 - q^2 S (q) = (1/3)q^2 + 2q + 5q) a) Find the equilibrium price P (where supply equals demand) b) Find the consu

### Polynomial fraction multiplication

X2-22 - x-2 ____ _____ x2-9x+20 x-5

### Several rational fraction problems

Please see attachment. #1. Multiply. Write your answer in lowest terms. #2. Multiply and simplify: #3. Divide. Write your answer in lowest terms. #4. Express the following compound fraction in lowest terms: 4 . 28 9 4 3 3 r s 2 7 pq 6 r 3 s

### Example of Polynomial Division

See attached. 2. What is the quotient when is divided by ? 5. Find all (vertical and horizontal) asymptotes of (see the attached file). What is the domain of this function?

### Polynomial Fraction Multiplication

Solve problem: 4 * 5x - 5 x^2 - x 12.

### Polynomial

Add or subtract. Write the answer in lowest terms. 3/9-y - 4/y-9

### Add or subtract.

Add or subtract. Write the answer in lowest terms. x/x - 5 + 10/x + 5 - 50/x^2 - 25

Solve the following problems showing all your work every step of the way. 1. You have been given information that if a student is a resident and they enroll for more than 12 hours, then their tuition will equal \$120 plus \$10 per hour for every hour greater than 12. Create an equation that would allow a student to simply plug

### Find the fraction

In certain fraction, the denominator is 3 less than the numerator. If 2 is added to both the numerator and denominator, the resulting fraction is equal to 3/2. Find the original fraction. the original fraction is __

### Rewriting Fractions

Rewrite the rational expression with the given denominator 5t/(3t - 6) = ?/(6t - 12) Simplify the answer.

### Solve the equation

Solve the equation x / (5x+10) = (2x-5)/(x+2) - 4x/(5x+10) the solution set is

### Find the Original Fraction

In a certain fraction, the demoninator is 4 less than the numerator. If 2 is added to both the numerator and denominator, the resulting fraction is equal to 7/5. Find the original fraction The original fraction is__ Type a fraction. Do not simplify.

### Subtracting polynomial fractions

Subtract. -29/4-y - 9y-7/y-4 The difference is ___ Simplify the answer

### Simplify polynomial fraction

Reduce the rational expression to lowest terms. x*2 - 36 ________ 6 - x simplify form is __

### Fraction learning activity

Could you give a learning activity that I can use in my classroom related to this? . (1) Fractions are used to describe what part of an assigned task is completed. For example, if a student has to solve 10 homework questions, and has completed 4, the fraction completed is 4/10 = 2/5 (2) When you cut a cake, your

### Ratio and Proportion : Problems and Real-Life Applications

Please see the attached file for the fully formatted problems. 20. A Boeing 747 jet is approximately 230 ft long and has a wingspan of 195 ft. If a scale model of the plane is about 40 cm long, what is the model's wingspan? 28. The amount of gold jewelry and other products is measured in karats (K), where 24K represents p