1. If the distance from the earth to the sun were 92,900,000 miles, how long would it take a rocket, traveling at 2.8 × 103 miles per hour, to reach the sun? (Round to three places) 2. A circular window of radius 13 inches is to be laminated with a sun block coating that costs $0.95 per square inch to apply. What is the to

# Algebra

### Linear program using Excel Solver

See the attached file. A real estate developer is planning a new mini apartment complex. Three types of units can be built: one-bedroom apartments, two-bedroom apartments, and three-bedroom apartments. Each one-bedroom apartment requires 650 square feet; each two-bedroom apartment requires 800 square feet; and each three-bed

### Word problem

Please show all steps and computation. This morning, Mr. Singh will make strawberry-banana shakes using 300 strawberries and 60 bananas. Mr. Singh knows that he will use more strawberries than bananas in each shake , and he does not want to have any leftovers fruit. He wants all of the shakes to have equalnumbers of whole b

### Algebra study guide

Week 3 Study guide Which numbers cannot be used in place of the variable in each rational expression? 44. Section 6.2 Perform the indicated operation. 70. Section 6.4 Addition and Subtraction of Rational Expressions 28. Perform the indicated operation. Reduce each answer to lowest terms. 40. 5

### Equations using the substitution method

Show work. Solve using the substitution method 1. 5x + 12y + z = 10 2x + 5y + 2z = -1 x + 2y - 3z = 5 2. 2x - 4y + z =3 X - 3y + z= 5 3x-7y+2z=12 3. 5x + 8y - 6z=14 3x+ 4y -2z=8 x+2y-2z=3 4. 5x-11y+6z=12 -x+3y-2z=-4 3x-5y+2z=4 5. 3x+4y+2z=3 4x-2y-8z=-4 x+y-z=3 6. 2x-y-z=0 x+2y+z=3 3x+4y+2

### Word Prob-Other

#1 Find slope given the following points: (2,5) and (2,1) #2. Find slope given the following points: (-3,-1) and (-2,4) #3. Write the point-slope form of the line using the requirements below, then use the point slope form of the equation to write the slope intercept form. Slope = 6 passing through (-4,7) #4)

### system as independent, inconsistent, or dependent

Solve by graphing, indicate whether each system is independent, inconsistent, or dependent. 1. x + y = 5 x - y = -1 2. y = -x y = -x + 3 Solve by substitution, indicate whether each system is independent, inconsistent, or dependent. 3. x - y = 3 3x - 2y = 3 4. 2x - y = 3 6x - 9 = 3y Solve by the addition metho

### WK 5 HOMEWORK

Please see attached for full details of the problem. #1 Multiply. (3y - 7) A. B. C. D. #2 Divide and simplify. A. 3u/v B. 3v/u C. -3v/u D. #3 Simplify. A. B. C. D. #4 Factor completely. A. (h - 9s)(h - s) B. (h

### Quantitative Methods

Practice problem given as an example for our exam. If you could show the steps I would appreciate it. If you can do it but need more credits, let me know. ---------------------------------- The UN must evacuate an aid team and their belongings from Iraq. They can hire two types of planes to handle the evacuation. One is

### Problem Solving Using Polya's 4 step model

This is the Problem: Public relations. Memorial Hospital is planning an advertising campaign. It costs the hospital $3000 each time a television ad is aired and $2000 each time a radio ad is aired. The administrator wants to air 60 more television ads than radio ads. If the total cost of airing the ads is $580,000, the

### 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

### Quadratic Equations

Solve: 1: Determine the nature of the solutions of the equation y^2 = 3/2y + 2/7 Choose the right answer 1: The equation has one real solution 2: the equation has two non real solutions 3: the equations has two real solutions. Solve: 2: A one compartment verticle file is to be constructed by bending the long si

### Interest and Loan Repayment

Please see the attached file for the fully formatted problems. 1.21) Geometric Series- Intro to Finance 10 ∑ 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

### 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=_

### 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 ∑_(i=1)^4▒

### Solving Equations

Do you think you have more options for arriving at the required answer for one over the other? x-4 = 10 = x=6 2x-4 = 10 x=7

### Inductive Reasoning and Estimation

These are a total of 18 mixed problems all ranging from inductive reasoning to estimation. I need help coming to the conclusion. Please help me answer these study questions and show me step by step how to get the answer and how to check if the answer is correct.

### Calculate the future value of $2000 in 5 years at an interest rate of 5% per year.

6. Calculate the future value of $2000 in 5 years at an interest rate of 5% per year. $6,245.97 $3,221.02 $3,257.79 $2,552.56 $2,145.48 7. Calculate the future value of $2000 in 10 years at an interest rate of 5% per year. $6,245.97 $3,221.02

### Percentages and Food Content

Gather three of your favorite packaged foods, perhaps one from each: breakfast, lunch and dinner. Use the model used by the food industry, example and analyze, through the mathematical formula explained, the fat content and protein content from your foods. The written paper should be one page in length and concise in your reas

### Find the difference of (3/16) - (1/20) =

NOTES: 1. all steps of your solution must be shown and a few words to explain what you did to solve the problem. For instance, if lowest common denominators are required show how you determined the value of the LCD. If factors are removed, show the value of the total factor removed. Please do not just supply an answer.

### Diffusion Equations and Boundary Conditions

Hello, I have a test coming up soon and I don't understand how to solve the kind of problem as given below. Please provide some explanation in the solution. Thanks in advance, Eriko Consider the diffusion equation € φt = a 2 φxx + x 3 , −L ≤ x ≤ L with initial condition € φ(x,0) =1

### Functions and Domains

MTH133 Unit 4 - Individual Project Name: 1) State the domain of the following: a) Answer: b) Answer: c) Answer: d) Answer: e) Answer: 2) Suppose the graph of is shifted to obtain each the following graphs. What is the equation of the function, g(x), for each graph? a)

### Solving for Net Present Value

A company is considering an investment in a machine that costs $54,000 and would result in cash savings of $15,000 per year for 5 years. The company's cost of capital is 10%. Compute the Net Present Value.

### I need to know how to do the problems.

Please help.

### Solving Equations

Please see the attached file for the fully formatted problems. ? If a problem begins with units, the final answer should also include the proper units. ? Review all your work before submitting this Project. Typographical errors, incorrect formatting, typing words Where symbols belong, and so on, are all mistakes and will be

### Radical Functions and Word Problems

Solve the following algebraically. Trial and error is not an appropriate method of solution. You must show all your work. (You may type cuberoots as cbrt(x) and show raising to the nth power as ^n, like x^3.) Find x: a) (1/4) = 3 - (2x-1)/(x+2) b) x^(2/3) = 125 c) cbrt(x) - 4 = 2 2) Solve algebraically and chec

### Project Management : Network Diagrams, Start and Finish Times and Crashing

Wild Cat Petroleum Company has struck oil on their latest drilling project in central Africa. You are responsible for developing a minimum cost schedule to bring the first wellhead into production. Unfortunately, local workers are not available due to the continuing unrest in the surrounding territory (a lingering civil war).

### Word problem

A local horse rancher died early one morning and his will bequeathed his herd of racehorses to his three sons. The will specified that the herd must be divided exactly; and 1/2 of the horses should go to the eldest son, 1/3 of the horses to the second son, and 1/9 of the horses to the youngest son. Unfortunately for the sons at

### Write equations for monthly salary of employees, company's monthly revenue and profit.

A company pays a monthly rent of $3,000 per month for the office space and it pays $1,000 to each employee every month (there is a total of 12 employees). In addition each employee gets a bonus of $10 for each unit they complete during the month. The company's revenue is $18 for each unit completed by the employees. Answer the f