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    Algebra

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    Writing equations from description

    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

    Calculating EMI for a loan

    You want to buy a car. Based on your current finances, you have up to $3,200 in savings that you can use for a down payment. You believe you can afford no more than $160 per month in loan payments. Offer Number 1: An individual you trust will sell you a used car for 10% off the Blue Book value of $9,800. Your company credit u

    Regression and Cost Functions

    Chapter: 1, exercise 18 18. Refer to the Wage data, which reports information on annual wages for a sample of 100workers. Also included are variables relating to industry, years of education, and gender for each worker. a. Which of the 12 variables are qualitative and which are quantitative? b. Determine the level of me

    Linear second order recurrence sequence

    Find a closed form for uo = 2 u1 = 7 un + 2 = 2un + 1 + 8un (n = 0,1,2,3,.......) (The o,1 and n terms are subscript). The techniques given is using a auxillary equation - finding a generalised solution where A and B are unknown constants. Finding A and B using the initial terms: Auxillary equation r^2 - 2r - 8 (r -

    Solving Values for Functions

    1.Here is a nonlinear function: f(x) = sqrt(x) - 3 Inputs: f(4) and f(9) 2. f(x) = x^2 f(4) 3.F(x) =2x-5² X = 10 X = 20 4.Linear Equation y = 3x+7 function x=10 Two equations f(10) = 3(x) -20 f (20) = 10(x) -50a

    Generating Equations from Description

    Identify the variables and write equations that describe each situation. Also solve the generated equations. 1. Two complimentary angles have degree measures p and 3p-6. 2. American pro. plans to lay off 10% of its employees in its aerospace division and 15% of the employees in its agricultural division. If altogether 12%

    MTH133: Unit 1 Individual Project - B

    For noninteger answers, please write your answer as a fraction rather than a decimal. To show your work, you will need to include o the algebra used to compute the solution to any equations. o the formula with substituted values. o the final calculated answer with units Please see attachmen

    Please answer the following questions

    1. Show work here: Final Answer: 2. Solve . You must show all work to receive full credit. Show work here: Final Answer: 3. The cell phone service for the CEO of a small company is $39.99 a month plus $0.10 per minute for long distance. In a month w

    Unsolvable series

    Find the derived series for S_4 Show that S'_n=A_n if n is not equal to 2 and conclude that S_n is not solvable if n is greater than or equal to 5. I need a detailed proof of this to study please.

    Greatest common divisor

    2. (a) Determine gcd(987, 320). (b) Determine integers x and y such that 987x + 320y = gcd(987, 320). 3. (a) Determine gcd(−2193, 1008). (b) Determine integers x and y such that 1008x − 2193y = gcd(−2193, 1008).

    Problem from Lewis Carroll

    Problem from Lewis Carroll: There are two cups, the first one contains 50 spoonfuls of brandy, the second one 50 spoonfuls of water. Someone takes a spoonful from the cup with brandy and empties it into the water cup, mixes well, and then takes a spoonful of the mixture and empties it into the first (brandy) cup. Does

    Prime simple subgroups

    a) Show that if |G|= pq, where p and q are prime, then G is not simple. b) Show that the only simple groups of order less than 36 are of prime order.

    QUARDS.

    ATTACHED FILE. MTH133 Unit 4 - Individual Project - A Name: 1) State the domain of the following and provide a brief explanation for your answer: a) Answer: b) Answer: c) Answer: d) Answer: e) Answer: 2) Suppose the graph of is shifted to obtain each the following graphs

    Mathematics

    Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function? Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence? Which one of the basic functions (linear, quadratic, rational, or exponential) is related to

    Proofs : Grorups, Subgroups and Indexes

    1.) If |G|=p^n for some prime p, and 1 is not equal to H, a normal subgroup of G, show that H intersect Z(G) is not equal to 1. 2.) Suppose G is finite, H is a subgroup of G, [G:H]=n and |G| does not divide n!. Show that there is a normal subgroup K of G, with K not equal to 1, such that K is a subgr

    Simplify and Solve Length of Side

    Jim's nephew owns a triangular plot of land. The perimeter fence that surrounds the land measure 121 feet. The shortest side is 15 feet longer than one-half the longest side. The second longest side is 4 feet shorter than the longest side. What is the length of each side.

    Variation

    Direct, Inverse, and Joint Variation Write a formula that expresses the relationship described by each statement. Use k for the constant in each case 6. m varies directly as p 8. u varies inversely as n. 18. c varies inversely as d, and c _ 5 when d _ 2. Solve the variation problem 26. n varies directly as q, an

    Simplifying and Solving Problems with Exponents

    Solve for x 6x+21-4x+21=4 4x-6=x+3 Simplify (-3x-3x^5-3)+(-9x^5 - 3+7x) a)-12x^5 -6x-6, b)-12x^5 -46x+4, c)-12x^5 +4x, d)-12x^5 +4x-6 Simplify (8g^3 +6)-(3g^2 -3)+(3g^3 + 2g^2) Simplify (4x^3 + 4x^2 + 4)-(5x^3 - 7x^2 +6x - 4) a)-x^3 +11x^2 -6x+8, b)x^3 -11x^2 +6x, c)-x^3-11x^2 -6x, d) -x^3-11x^2+6x+8

    'Why do we have to learn the metric system?'

    One or more of the students in your class asks: "Why do we have to learn the metric system?" How do you respond? A student in your class calculating the slope between points (8,5) and (8,20) gets 15/0. Using their calculator, the result of 15/0 shows "Error". They ask you "How can a calculator make an error?".

    Relative speed

    A child in an airport is able to cover 258 meters in 3 minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk's motion. Running at the same speed in the direction opposite to the sidewalk's movement, the child is able to cover 360 meters in 6 minutes. What is the child's running speed on a stil

    Five-Number Summary, Graphing, Quartiles, Median and Mean

    Please see the attached file for the fully formatted problems. The graph and table below give the monthly principal and interest payments for a mortgage from 1999 to 2004. Use this information to predict the payment for 2005. Year Payment 1999 $1,012 2000 $1,073 2001 $1,145 2002 $1,181 2003 $1,236 2004 $1,278 F

    Composing the Equation of a Line

    What is an equation for the line that passes through the points 4,2 and -2,4 in x,y -coordinates? Make sure to show how the solution was reached.

    Relative speed

    A child in an airport is able to cover 392 meters in 4 minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk's motion. Running at the same speed in the direction opposite to the sidewalk's movement, the child is able to cover 350 meters in 5 minutes. What is the child's running speed on a stil

    Percent decrease

    The price of a cup of coffee was 2.25 yesterday. Today, the price fell to 2.10. Find the percentage decrease. Round your answer to the nearest tenth of a percent.