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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

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?

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

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

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

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

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

Quadratic equations and inequalities

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?

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