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# Algebra

### Solving an Algebraic Word Problem

A bank robber holds up a bank and speeds away on the freeway at 80 miles per hour. Thirty minutes later, police officers, having gotten a description from people at the bank, take off in pursuit at 90 miles per hour. How long will the police have to drive to catch up, and how far from the bank will they catch the robber? Reme

I need help with this problem: (a) If p is an odd prime and q is an odd prime where q = 10p + 3, show that (p/q)=(3/p). (b) If p is an odd prime and q is an odd prime where q = 10p + 1, show that (p/q)=(-1/p). Please show all work so that I understand each step. Thanks for the help.

### Demand curves

1. In this problem, we will analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. Often, the demand equation is found empirically (through experiment, or

### Word Problem

Please help in resolving this problem: 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

### Word Problems

Please assist in resolving the word problem: A person having a boat will go 15 miles per hour in still water. If the person can go 12 miles downstream in the same amount of time as it takes to go 9 miles upstream, then what time is the speed of the current?

### Example Math Problems

1. Four coins. Place four coins on a table with heads facing downward. On each move you must turn over exactly three coins. Count the number of moves it takes to get all four coins with heads facing upward. What is the minimum number of moves necessary to get all four heads facing upward. 2. Timely coincidence. Starting at 8

### Linear Simultaneous Equations - Word Problem

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?

### Cost of a gallon of premium gasoline

The cost of 11 gallons of regular gasoline and 16 gallons of premium gasoline is \$58.55. Premium costs \$.20 more per gallon than regular. What is the cost of a gallon of premium gasoline? What is the cost of a gallon of regular gasoline?

### Need help with math

I need help with math.

### Retail companies need to keep close track of their operations in order to maintain profitability.

Polynomials Retail companies need to keep close track of their operations in order to maintain profitability. Often, the sales data of each individual product is analyzed separately, which can be used to help set pricing and other sales strategies. Application Practice Answer the following questions. Use Equation Edito

Part 1: Using the Library, web resources, and/or other materials, find the logarithmic formula that gives the pH of a substance. State what each variable in your equation represents. Find the pH of an acidic substance of your choice. Using this pH, show how to find the hydrogen ion concentration, [H+], of the substance using

### Forming Equations and Determining Co-ordinates: Example Problem

1. How do we write the equation of a horizontal line? What would be an example? 2. How do we write the equation of a vertical line? What would be an example? 3. The points (1, 3), (2, 5), (8, 17), (50, 101), and (1000, 2001) all lie on line M. The points (1, -1), (2, -3), (8, -15), (50, -99), and (1000, -1999)

### Interest and Loan Repayment

Please see the attached file for the fully formatted problems. 1.21) Geometric Series- Intro to Finance 10 &#8721; 500 I=1 1.12 * 2825.11 TOPIC: TIME VALUE OF MONEY INTRO TO FINANCE 2.34) Suppose you put\$250 at the beginning of every month into savings that credits interest at the annual rate of 6% per

### Question about Tax rate

You have a item that you bought but you lost the sales receipt. There are no price stickers on the item (one of those time saving features for stores) but you remember you gave the clerk \$40 and received x in change. Given that the sales tax rate in you state is 6.65%, how would you go about figuring the cost of the item itself

### Pick a country of your choice that is experiencing population growth

Pick a country of your choice that is experiencing population growth. Using the Library, web resources, and/or other materials to find the most recent population count of the country you have chosen and the population growth rate of that country. Use that growth rate to approximate the population in the year 2012. Solve the prob

### Solve and show

1) Volume of a container. A cubic shipping container had a volume of a^3 cubic meters. The height was decreased by a whole number of meters and the width was increased by a whole number of meters so that the volume of the container is now a^3 + 2a^2 - 3a cubic meters. By how many meters were the height and width changed?

### Pick a country of your choice that is experiencing population growth.

Pick a country of your choice that is experiencing population growth. Using the Library, web resources, and/or other materials to find the most recent population count of the country you have chosen and the population growth rate of that country. Use that growth rate to approximate the population in the year 2012. Solve the prob

### Identification of Variables, Constants, and Coefficients

Translate the following problems into algebraic equations. There is no requirement to solve the equations just need to simply translate them. Identify the variables, constants, and coefficients in each equation. 1. What number is 12% of 85? 2. The sum of three consecutive odd numbers is 99; what are the numbers? 3. A

### Richter scale equation

Please show each step: 1. Using compound interest formula: A=P(1+i)^n investment of \$5000 Earns 6% annual interest compounded monthly how many years would it take for the investment be worth \$15,000? 2. Using Richter scale equation M=log I/Io Earthquake has an intensity of I=6,309,573 Io Find the Richter scale

### Solving each system by substitution

Need help in resolving the follwoing problem using the system of substitution. In addition I need to determine whether the equations are independent, dependent or inconsistent. y = - 4x - 7 y = 3x

### A lottery has one \$2000 prize, two \$1000 prizes

I need help in figuring out how to do this math problem. I've worked on the equation multiple times and can't seem to figure it out. The question again is: A lottery has one \$2000 prize, two \$1000 prizes, and ten \$500 prizes. Two thousand tickets are sold at \$5 each. Find the expectation if a person buys two tickets.

### A tennis club offers two payment options:

5) A tennis club offers two payment options: Option1: \$35 monthly fee plus \$4/hour for court rental Option 2: No monthly fee but \$6.50/hour for court rental. Let x = hours per month of court rental time. a) Write a mathematical model representing the total monthly cost, C, in terms of x for the following: Option 1: C=_

### Factorization of the given equations.

1. Factor x^2 + 12x + 20 2. Solve x^2 - 9 =0

### Algebra: Calculating Parabolas

Please see the attached file for the fully formatted problem. If a ball is thrown vertically upward from a height of 5 ft, with an initial velocity of 96 ft/s, its height after t s is given by.............h(t) = -16t^2 + 96t + 5. How long does it take the ball to return to the ground ?

### Word problem - rabbits

Raising rabbits. Before Roland sold two female rabbits, half of his rabbits were female. After the sale, only onethird of his rabbits were female. If x represents his original number of rabbits, then (x-2)/3 = x/2 - 2 Solve this equation to find the number of rabbits that he had before the sale.

### Graphing A Parabola explained in this answer

When graphing a parabolic equation, what steps do you take? How do you tell if the arc opens up or down?

### Solve by substitution

I need detailed explaination on each problem Solve by substitution...Indicate whether each system is independent, dependent or inconsistent. x = 1/8y -1 y = 1/4x + 39 Solve by addition x-2y=-1 -x+5y=4 3x +5y=-1 x-2y=11

### High School Math Problems/Sequences using sigma

Need help solving problem numbers 6,8,9,10,11, 12,13,14,15,16 and show work. I fxed the attachment to my self and save it. Please let me know if you can open file This sttachment may be better 6.What is the tenth term of the geometric progression ½, -1, 2, -4? 8.Which series is represented by &#8721;_(i=1)^4&#9618

### Profit Maximization and Profit Function

Q2. A firm's profit function is given by: Profit = 108 + 2X^2 -4 XY + 3Y^2 - 8X - 12Y Determine: (a) the values of X and Y that maximize profit. (b) the maximum value of profit. I've taken the 1st derivate for X & Y, solves for x and equated these two against each other and and get X = 10. Plug this X value in and I get Y

### Functions and Population Growth

Pick a country of your choice that is experiencing population growth. Using the Library, web resources, and/or other materials to find the most recent population count of the country you have chosen and the population growth rate of that country. Use that growth rate to approximate the population in the year 2012. Solve the prob