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# Algebra

### Wonderful Position for Selected Job

1. Word problems seem to daunt practically everyone. Discuss why they seem intimidating to you (or why not, if they don't). Do you believe that most of the problems we face in our daily life are word problems? Examples? 2. You are in the wonderful position of having to select a job from one of two offers you have just recei

### Radical Growth - A town has a initial population of 2000 and Population Growth each year of 100.

Please help with Linear Growth problem. All I need is explanation of the concept amd formula. I want to be able to explain how I came up with the answer. Please see attached file. A town has a initial population of 2000 and Population Growth each year of 100. Suppose instead that the town experiences growth that can be m

### Suppose that a market research company finds that at a price of p = \$20, they would sell x = 42 tiles each month.

Suppose that a market research company finds that at a price of p = \$20, they would sell x = 42 tiles each month. If they lower the price to p = \$10, then more people would purchase the tile, and they can expect to sell x = 52 tiles in a month's time. Find the equation of the line for the demand equation. Write your answer in th

### Telephone plan word problem

You need to choose between two telephone plans for local calls. Plan A charges \$25 per month for unlimited calls. Plan B charges a monthly fee of \$ 13 with a charge of \$0.03 per local call. How many local telephone calls in a month make plan A the better deal?

### A company's revenue is the amount of money that comes in from sales, before business costs are subtracted.

I am having a really hard time grasping the concepts needed to complete this practice. I am sure that some similar questions will be on the test, so I really want to understand how to go about solving these types of questions. Can anyone show me the methods and solutions to these questions? I have answered Questions 1a and 1b, b

### Describe a strategy (maybe with equations) to estimate the number of road signs (not advertisements) on interstate 95 that runs from South Florida to New England. One may assume 1800 miles.

Methodical thinking, even if the answer is wrong.. Make some assumptions with out the use of the internet or anything else Give reasons to conclusions conclude argument How can assumptions be improved? 1.)Describe a strategy (maybe with equations) to estimate the number of road sig

### Factor Completely

2*(x^4)*(z^3)-2*(z^3)

### Measurements, Conversions and Area

Measurements and Calculations When making measurements, round each measurement to the nearest 1/4 foot. Part 1-Walls Calculate how much paint you will need to paint the walls of this room. To properly paint the walls, you will need to put one coat of primer paint and two coats of finish paint. For each calculation, briefly

### Solve: Average Miles per Gallon

Question: In a family there are two cars. The sum of the average miles per gallon obtained by the two cars in a particular week is 50. The first car has consumed 20 gallons during that week, and the second has consumed 25 gallons, for a total of 1175 miles driven by the two cars combined. What was the average gas mileage obtaine

### Discriminants and the Number of Real Solutions

Compute the value of the discriminant and give the number of real solutions to the quadratic equation. Please see attached file for full problem description.

### Find the time points when the height is 1 foot

When a ball is thrown, its height in feet h after t seconds is given by the equation h = vt - 16t^2. where v is the initial upwards velocity in feet per second. If v = 9 feet per second, find all values of t for which h = 1. Do not round immediate steps. Round your answer to 2 decimals. If there is more than one ans

### MTH133: Unit 5 Individual Project - B

Please see attached file for full problem description. Exponential and Logarithmic Functions: MTH133: Unit 5 Individual Project - B See attached file for full problem description. 1) Find the domain of the following: a) f(t) = log(t -5) b) g(x) = 5 *e^x c) g(x) = ln(t + 4) d) g(t) = 5^t 2) Describe the tra

### Population Growth

Make sure that you use Botswana instead of the example country.

### Together and Alone Word Problems

Jack can shovel snow off the sidewalk in 3 hours. Joe can shovel snow off the same sidewalk in 2 hours. How long will it take them to shovel the sidewalk working together?

### Word Problem: Relative Speed

A child in an airport is able to cover 270 meters in 3 minutes running at a speed down a moving sidewalk in the direction of the sidewalks motion. Running at the same speed in the direction opposite to the sidewalk's movement, the child is able to cover 256 meters in 4 mintues. What is the child's running speed and the she spe

### Average Gas Mileage

There are two cars. The sum of the average miles per gallon obtained by the two cards in a particular week is 60. The first car consumed 20 gallons during that week and the second car consumed 15 gallons, for a total of 1100 miles driven by the two cars combined. What was the average gas mileage obtained by each of the two ca

### The weekly demand model for a new toy is given by functions

Please assist by showing how to solution is obtained. 12. The weekly demand model for a new toy is given by: N = -5p + 80 The weekly supply model for the same toy is: N = 3p + 40 For the models p is the price of the toy and N is the number of toys sold or supplied. Find the price at which supply and dema

### Word Problem - There is credit remaining on a phone card in dollars that is a linear function of the total calling time in minutes.

There is credit remaining on a phone card in dollars that is a linear function of the total calling time in minutes. The funtion gives a line with a slope of -0.14. There is a \$23.78 credit on the card after 27 minutes of calls. How much credit is there after only 20 minutes in dollars.

### The credit remaining on a phone card in dollars is a linear function of the total time in minutes.

The credit remaining on a phone card in dollars is a linear function of the total time in minutes. When graphed, the function gives a line with a slope of -0.13. There is a credit or \$24.94 remaining on the card after 38 minutes. How much credit will there be after 47 minutes. Can you show the work on how to solve this

### Demand Curve for Prices

4) (demand curve)The demand curve for a certain commodity is p=-.001q+32.5 a) At what price can 31,500 units of the commodity be sold at? b) What quanities are so large that many units of the commodity can't possibly be sold no matter how low the price... The hint they gave was to drop the price, make an inequality and solve f

### State the domain of the following

Please provide a step by step solution.

### State the domain of the following

Please see attached file for full problem description.

### Identify the graph that represents the corresponding function.

Refer to the graph given below and identify the graph that represents the corresponding function. Justify your answer. y = 2x y = log2x Plot the graphs of the following functions. Scan the graphs and post them to the Facilitator along with your response. f(x)=6x f(x)=3x - 2 f(x)=(1/2)x f(x)= log2x

### Find the number of boys and girls involved in the group

A professor started a project with a group of students, 60% of whom were boys, due to some unavoidable reason, six girls couldn't show up, so the professor had to make some changes in the group. He admitted six boys. In doing so the percentage of boys in the project increased to 75%. Find the number of boys and girls involved in

### Word Problems - A 40-ounce can of cling peach sells for \$2.80. At the same rate, what would a 10-ounce can sell for?

I need assistance setting up equations for the following: 1. A 40-ounce can of cling peach sells for \$2.80. At the same rate, what would a 10-ounce can sell for? 2. Two cars leave a town at the same time and travel in opposite directions. It seems that a family quarrel has erupted and the ladies have sped out of town. G

Minimizing Cost. A company uses the formula C(x)=0.02x^2 - 3.4x + 150 to model the unit cost in dollars for producing x stabilizer bars. For what number of bars is the unit cost at its minimum? What is the unit cost at that level of production?

### Word Problems - Algebra - A designer, attempting to arrange the characters of his artwork in the form of a square grid

Problem#1 A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the des

### Simple Groups and Sylow p-Subgroups

(1) Prove that if |G|=1365, then G is not simple. (2) Assume that G is a nonabelian group of order 15. Prove that Z(G)=1. Use the fact that the group generated by "g" is less than or equal to C_G(g) for all "g" in G to show that there is at most one possible class equation for G.

### Inflation and present value

Please develop a hypothetical scenario in a word document illustrating these concepts. Inflation: 1. If your salary today is \$55,000 per year, what would you expect your salary to be in 20 years (rounded to the nearest thousand dollars) if you assume that inflation will continue at a constant rate of 6% over that time peri