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Algebra

Arithmetic and Geometric Series and Sequences

Using the index "n" of the partial sums of a series as the domain, and the value of the corresponding partial sums of the series "Sn" as the range, is a series a function? Please include in your answer: - Which of the basic functions, (i.e. - linear, quadratic, rational, exponential), is related to the arithmetic series? -

Arithmetic and Geometric Sequences and Series

Please provide some guidance and references to develop the homework. Use the arithmetic sequence of numbers 2, 4, 6, 8, 10... to find the following: a) What is d, the difference between any two consecutive terms? Answer: Show work in this space. b) Using the formula for the nth term of an arithmetic sequence,

'Together and Alone' Word Problems

Winston can mow his dad's lawn in 1 hour less than it takes his brother Willie. If they take 2 hours to mow it when working together, then how long would it take Winston working alone? I know that I need to use a quadratic equations but I'm lost on which way to set it up?

Solving equations, difference between relation and function

Please see the attached file for full description Find all real or imaginary solutions to each equation: 98. X - 1 = 2x - 3 X + 2 x + 4 Find exact and approximate solutions to each problem 106. One on one. Find two positive real numbers that differ by 1 and have a product of 1. 115. Decathlon champion. For

Linear Programming: Maximization and Transportation

39. Max Z = $0.30x + $0.90y Subject to : 2x + 3.2y <= 160 4x + 2y <= 240 y <= 40 x, y >= 0. Solve for the quantities of x and y which will maximize Z. What is the value of the slack variable associated with constraint 2? 45. Consider the following transportation problem: 1 2 Supply 1 5 6 100

Writing Equations from Word Problems

12) You have exactly $537 to spend on parting gifts for your rich uncle's birthday party. You decide to get watches for the ladies (at $27.98 each), and beepers for the men (at $23.46 each). You know that the number of watches required will be 3 times as much as the number of beepers. How many of each item do you buy?

Linear Relationships, Slope and Intercept

1. The following data shows the relationship between the total average amount of student study time in an Online course and their corresponding average grades. Hours Studied 50 57 69 112 120 88 96 Grade 60 63.5 69.5 91 95 79 83 Is this relationship linear? Explain why or why not 2. Line 1 passes through the points

Small Stage Efficiency of a Gas Turbine and Rearranging Equations

6. The overall efficiency of a gas turbine can be calculated from the formula ..... where is the small stage efficiency and E =..., where r is the expansion pressure ratio and gamma is the ratio of the specific heats. Given that the overall efficiency nf is 76%, r = 4.6 and that y = 1.333, calculate the value of the small sta

Loudness of Sound

The loudness of sound is based on intensity level measured in decibels using a logarithmic scale and is relative to (a ratio of) the weakest sound the ear can hear. Research how sound is measured. Include the following items in your posting: The formula for measuring sound. Pick a specific sound, give the decibels of

Discriminants

When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. Create three unique equations where the discriminant is positive, zero, or negative. For each case, explain what this value means to the graph of y = ax2 + bx +

Discriminants

When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. Create three unique equations where the discriminant is positive, zero, or negative. For each case, explain what this value means to the graph of y = ax2 + bx +

Continuously Compounding Interest..

1. A woman deposits $50,000 in a savings account with 4% continuously compounded interest. How many years must she wait until the balance has doubled? Use the Compounding continuously formula and show the steps involved in getting the solution. 2. True or false: The function " f(x) = 3^x " grows three times faster than the fu

Annihilators and Ideals

Let R be a commutative ring and let A be any subset of R. The annihilator of A, denoted by Ann(A), is the set {r in R:r(a)=0 for all a in A}. Show that Ann(A) is an ideal of R. See attached file for full problem description.

Family of ideals in a ring

Show that the intersection of any family of ideals in a ring is an ideal. Show that the ideal generated by a subset S of a ring R is the intersection of all ideals J of R such that S <= J <=R.

Finance/Accounting Problem1. Compute the present value of a $100 cash flow for the following combinations of discount rates and times: 2. Compute the future value of a $100 cash flow for the following combinations of discount rates and times:

1. Present Values. Compute the present value of a $100 cash flow for the following combinations of discount rates and times: 1. r = 8 percent. t = 10 years. 2. r = 8 percent. t = 20 years. 3. r = 4percent. t = 10 years. 4. r = 4 percent. t = 20 years. 2. Future Values. Compute the future value of a $100 cash flow fo

Arithmetic and Geometric Sequences and Series

Use the arithmetic sequence of numbers 2, 4, 6, 8, 10... to find the following: a) What is d, the difference between any two consecutive terms? b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? c) Using the formula for the sum of an arithmetic sequence, what is the sum of the first 20 t

Ratio of Imports to Exports

If United States imports increased 20 percent and exports decreased 10 percent during a certain year, the ratio of imports to exports at the end of the year was how many times the ratio at the beginning of the year?

Break-even, Charges and Investments

1. A theatre spends $5000. building a set for a new play. Each performance of the play costs the theatre $700. The theatre sells $1200. worth of tickets for each performance. How many performances must the theatre put on to break even? 2. An amusement park charges admission plus a fee for each ride. Admission plus two

Functions

Determine whether each relation is a function: x^2 = 1 + y^2 y = (square root of x + 5) Determine the domain and range of each relation y = 2x - 3 Graph each function and state the domain and range y = 0.3x y = l x-2 l

Basic Ratio Equations for Job Direct or Indirect

1) Is the ratio between number of workers and time required to complete a job direct or indirect? 2) The formula for profit (P) is cost (C) minus overheard (O). Write an equation for profit and then translate it to solve for cost 3) Solve for t d=rt My solution was t=d/t. Is that correct 4) Solve for S (C-S)/n=R

How long, in seconds, does she have to get out of the way ( a story is 12 feet).

The height (h) (in feet) of an object that is dropped from the height of (s) feet is given the formula h=s-16t^2, where (t) is the time the object has been falling. A 5 foot tall woman on a sidewalk looks overhead and sees a window washer drop a bottle from the fifth story. How long, in seconds, does she have to get out of the w

Arithmetic and Geometric Sequences and Series

1) Use the arithmetic sequence of numbers 2, 4, 6, 8, 10... to find the following: a) What is d, the difference between any two consecutive terms? b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? Answer: c) Using the formula for the sum of an arithmetic sequence, what is the sum of the fi

Discriminants

If I am using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. (When the discriminant is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. ) Explain what the val

Sums of Geometric Sequences : Checkerboard Problem

A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Brown came out and gratefully thanked the traveling salesman for saving his daughter's life. Mr. Brown insisted on givin

Solving Equations

1. Square root 0f x-1=3 2. The square root of x3 = 8 3. The square root of x2 = x an identity (true for all values of x)? 4. V = s3. Find the length of a side of a cube if the Volume is 729 cm3.

Algebra - Frequency Distribution Concepts

1. The objective of statistics is best described as: A) To make inferences about a sample based on information we get from a population B) To use population mean, ? as an estimate of the sample mean, C) To make inferences about a population based on information we get from a sample taken from the population D) To make in

Sums of Geometric Sequences : Checkerboard Problem

A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Crane came out and gratefully thanked the traveling salesman for saving his daughter's life. Mr. Crane insisted on giving