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Basic Algebra

Business Math: Which is the better method for calculating overtime?

(1) Sally worked 48 hours this week . Her overtime rate is 1.5 times the regular rate. When calculating gross pay with overtime, there are two options: Option 1. ( total regular hours X hourly rate ) + ( overtime hours X overtime rate ) = gross pay OR Option 2. ( total number of hours worked X the ho

Prediction to Produce Market Demand

Your company produces a product in a market that has grown by 10% per year for the past 15 years. According to your estimate, the market is currently at 30% of saturation. Predict sales for the next 20 years.

Important information About Solving Equations and Word Problems

7(3x+4) = 8(2x+5) + 13 2(x-3) - 3(x+5) = 3(x-2) - 7 3x - 5(3x-7) = 2(x+9) + 45 Geometry: The length of a rectangular playing field is 5 ft less than twice its width. If the perimeter of the playing field is 230 ft, find the length and width of the field. Science and medicine: A bicyclist rode into the country for 5

Important information about Capacitive Reactance

Capacitive reactance X_c in an electrical circuit to an alternating current is given by: (Please see attached) where f is frequency of the current and C is capacitance of the circuit. Solve for f.

GRAPHS & SLOPES of line

1.Graph x+4Y=5 2. Graph x-2y=6 3. How do I find the slope of the line with points (0,0) (2,4) 4. How do I find the slope of the line with points (-3,1) (2,-2) 5. How do I graph the line with points & slope (-2,5) slope -1 6. How do I draw l1 (L sub 1) through (-4,0) (0,6) What is the slope of any line paral

Growth rate of an exponential function

In everyday language, exponential growth means very fasy growth. In this problem, you will see that any exponentially growing function eventually grows faster than any power function. (a) Show that the relative growth rate of the function f(x) = x^n, for fixed n>0 and for x>0, decreases as x increases. (b) Assume k>0 is f

Writing Equations from Word Problems

74. An algebraic equation is a complete sentence. It has a subject, a verb, and a predicate. For example, x + 2 = 5 can be written in English as "Two more than a number is five." Or. "A number added to two is five." Write an English version of the following equations. Be sure you write complete sentences and that the sentences e

Algebra : Solving Equations, Word Problems and Base of Trapezoid

Please see the attached file for the fully formatted problems. 1.12x-6=11x 2. 5x+8+3x--x+5=6x-3 3. -3x=27 4. 5. Business and finance-Jose has savings accounts for each of his five children. They contain $215, $156, $318, $75, and $25. Find the median and the mean amount of money per account. 6. 9x+7=5x-3

Proofs by induction

I'm having a hard time comprehending how to write proofs by induction. I'm looking for answers to these problems so that I may have a better understanding of how they are done. --- All problems need to be proved using induction in proofs. 1. Consider n infinitely long straight lines, none of which are parallel and no th

Lagrangian for an Harmonic Oscillator

Write the Lagrangian for a one-dimensional particle moving along the x-axis and subject to a force F=-kx (with k possitive). Find the lagrange eqn of the motion and solve it. lagrange eqn 0=mX+Kx where X is the second erv with respect to T

Microsoft Word Equation

(See attached file for full problem description) --- 1. Access Microsoft Word. 2. To start the Equation Editor, use the menu choice Insert / Object; under the Create New tab, select Microsoft Equation 3.0. ? If you have Word's Equation Editor loaded, you will get a toolbar that has the graphics templates needed to create

Basic Algebra for a Quotient

The quotient when 3 more than a number is divided by 3 less than that same number Science and medicine-It is estimated that the earth is losing 4000 species of plants and animals every year. If S represents the number living last year, how many species are on Earth this year? Science and medicine-The kinetic energy of a p

Radicals (25 Problems)

Please see the attached file for the fully formatted problems. MAT 107 Week 6 Chapter 9 Cumulative Test 1. Determine whether is rational or irrational or both or none of the choices. A) Irrational B) Rational C) Both A and B D) None of the choices 2. Simplify. Assume all variables represent positi

Writing Equations from Formulas

An equation derived from an a.c. bridge circuit is given by Components R3,R4,C1 and C4 have known values. Determine expressions for Rx and Cx in terms of the known components. keywords: formulae

A town of population size 100,000 has 3 newspapers...

A town of population size 100,000 has 3 newspapers: A, B, and C. The proportion of people who read these people are as follows; Newspaper A: 25% Newspaper B: 27% Newspaper C: 33% Newspaper A and B: 12% Newspaper A and C: 8% Newspaper B and C: 10% Newspaper A and B and C: 5% (a) find the number of peopl

A system is composed of 5 components...

A system is composed of 5 components, each of which is either working or failed. Consider an experiment that consists of observing the status of each component, and let the outcome of the experiment be given by the vector: (x_1, x_2, x_3, x_4, x_5) where x_i (note, the subscript is the letter " i ", not 1)

Algebra questions and word problems

(See attached file for full problem description) --- 5y -7 + y=7y + 21 -5y Clear fractions or decimals first. x - + x = + x 0.96y - 0.79 = 0.21y + 0.46 5(t + 3) + 9 = 3(t-2) + 6 13 - (2c + 2) = 2(c + 2) + 3c 46. 112 Ax + By = c, for y The number of calories K need

Algebra Calculator Approximation

(See attached file for full problem description with proper symbols) 75. Jennifer's calculator gives a decimal approximation for and that approximation is promptly squared, the result is 2. Yet, when that same approximation is entered by hand and then squared, the result is not exactly 2. Why do you suppose this happens?

Answer the following questions/provide detailed answers and show work

Mathematics, Algebra Year 2 Please see attachment for additional questionaires. Please ask DR> SHARMA to handle this. Thanks! -------------------------------------------------------------------------------- Q # 4. The loudness of sound is based on intensity level measured in decibels using a logarithmic scale and is rel