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The solution gives detailed steps on setting a linear equation using the example of saving plan. All the formula and calcuations are shown and explained. An excel output is also included.

Sophie has been saving money at a regular rate and noticed that x months after her 15th birthday, she had saved a total of 20x + 244 dollars. Which of the following statements correctly describes her savings plan? How did you get that answer? A) By her 15th birthday, she had saved 20 dollars and was able to save an additiona

BMI Calculation

You will use your height to plug into the formula to solve for W, the weight range that will go with each category. You may prefer to solve the formula for the variable W before plugging in values, which is fine. Please include: - A solution to the above problem, making sure to include all mathematical work - A discussion on

EXCEL 2010

I am having problems with Excel. I just don't understand how to make it do what I need it to do. This is what I have in Excel 2010: Magazine 2008 2009 Details 72.31 48.42 Esquire 66.69 42.79 Field & Stream 48.65 42.82 Flex 219.61 231.58 GQ 99.21 60.35 Maxim 68.5 41.82 Men's Fitness 99.43 67.63 Men's Health 90.88 74.4

A Rocket Modelled by a Particle: S-Axis, Maximum Height, Etc.

A rocket is modelled by a particle that moves along a vertical line. From launch, the rocket rises until its motor cuts out after 13 seconds. At this time it has reached a height of 490 metres above the launch pad and attained an upward velocity of 70ms−1. From this time on, the rocket has a constant upward acceleration of −

Maximum Area of a Quadrilateral

In the quadrilateral PQRS shown below, the side PQ has length 5 metres, the side QR has length 6 metres, and the side RS has length 7 metres. The angle at P is a right angle, and no angle of the quadrilateral exceeds 180◦. The side PS has length x metres, where the value of x is between 0 and 12. (The quadrilateral described c

Solving for Various Algebraic Equations

1. Find the midpoint of the line segment joining the points p1 and p2 P1= (1.1) P2= (-4,3) Midpoint is______ 2. Find the equation of a line that is parallel to the line x=9 and contains the point (-4,9). The equation of the parallel line is______ 3. Find the equation of a line that is perpendicular to the line y=1/3x+7

The solution gives detailed steps on calculating the concentration of alcohol if the equation for relative risk of an accident is given. All formula and calculations are shown and explained.

The concentration of alcohol in a person's bloodstream is measurable. Suppose that the relative risk of having an accident while driving a car can be modeled by the equation: R = e^(kx) Where x is the percent of concentration of alcohol in the bloodstream and k is a constant. (a) Suppose that a concentration of alcohol i

Domains and Operations of Functions

1. Find the domain of the function. f(x) = -3x + 2 2. Find the indicated function value.f(x) = x - 2, g(x) = x + 1 Find (f + g)(-1). 3. For the pair of functions, determine the domain of f + g. f(x) = 2x + -9, g(x) = 4x + -3 4. For the pair of functions, determine the domain of f + g. f(x) = 4x + 3, g(x) = 3x + 8 5. Use inte

Vertex, Intercept, Domain, Range of Quadratic Function

1. Given the quadratic equation y=-x^2+2x+8, find: a) the vertex b) the axis of symmetry c) the intercepts d) the domain e) the range f) the interval where the function is increasing and g) the interval where the function is decreasing h) graph the function y=-x^2+2x+8 2. The following polynomial represents a profit

Mixed Algebra Questions Solved

PLEASE HELP SOLVE THE FOLLOWING QUESTIONS 1. Elsie is making a quilt using quilt blocks like the one in the diagram. a. How many lines of symmetry are there? Type your answer below. b. Does the quilt square have rotational symmetry? If so, what is the angle of rotation? Type your answers below.

simultaneous eqns & concrete strength

1. Solve graphically the following simultaneous equations: y = 10 - 2x y = x - 1 2. Plot the graph of: y = x^2 - 2x - 4 for values of x from x = -2 to x = 4 at intervals of 1 and use the graph to solve the quadratic equation x^2 - 2x - 4 = 0. 3. The following grouped frequency table shows the compres

Equation of Lines and Modeling

Select and graph a point (with coordinates) in the x-y plane, not on the x- or y-axis; then, (a) Graph the line that passes through the selected point and is parallel to the x-axis. (b) Write the equation of the line drawn in Part (a) (c) What is the slope of the line drawn in Part (a)? (d) Graph the line that passes throu

deriving formulas to meet certain conditions

1) Derive a formula to find all numbers that meet the following conditions: • Divide by 3 the remainder is 1 • Divide by 29 the remainder is 6 2) What are the first 20 solutions to Sun Tsu's Chinese Remainder problem? 3) Derive a formula to find all numbers that meet the following conditions: • Divide by 3 the r

Standardized Mortality Ratio

Please show the calculation for how the numbers in red where determined. Using Table 4, calculate the expected number of deaths for each age and latency category, and then an overall standardized mortality ratio (SMR) for each latency group. To determine if 10 years latency is indeed needed to develop ASL, we split latency i

Solve the given problems by using TMV concepts.

1. How much should Elton John invest at the end of each year for six years if he expects to earn 6% and he wants to accumulate $150,000 in order to buy a new grand piano six years from today? 2. How much must Elton John invest today if he expects to earn 6% compounded semiannually and he wants to accumulate $

Fundamental Mathematics Sequences

FUNDAMENTAL MATHEMATICS II Question 1. Say that a sequence (an) is a Cauchy sequence (named after the French mathematician Cauchy) if it has the following property: For every  > 0 there is a number M (depending on ) such that |an - |am <  for all n, m >= M. (1) * Show that the sequences ( 1/n) and (n + 1/2n) and Cauchy s

Sports Activities in 1998

The following table gives participation in selected sports activities in 1998, in thousands, for persons living in the U.S. age 7 or older. (Source: Statistical Abstract of the United States 2000, 120th Edition Exercise Bicycle Sport Walking Swimming Equipment Ridi

High School Math Examples

See the attached file. Help solve the following: 1. Find the Greatest Common Factor (GCF) of 18X3 and 30X5. (18X raise to the power 3) and (30X raise to the power 5) A. 90X3 (90X raise to the power 3). B. 90X5 (90X raise to the power 5). C. 6X5 (6X raise to the power5). D. 6X3 (6X raise to the power3). 2. Write 6.

Slopes and Functions

#12 Determine the slope of each line Explanation of what I see here: There is a graph with a line going vertical from Y, 3, 1 and -1 Then there is a line above the numbers: -1, 1, 2, 3, x A blue line goes between the 3 and 1 (sorry I don't know how to the graph I am looking at) #22 The Coordinate Formula for Slope Fin

Commutative & Associative Properties

#12 (Commutative & Associative Properties) -8 + 12 - 9 - 15 + 6 - 22 + 3 #34 (Distributive Property) Use distributive property to write each sum or difference as a product. 7b - 49 #54 Multiplication Property of Zero x * 5 = 5x #26 (Using the Properties in Computation) Perform each computation. Make use of appropri

Fundamental Math: Algebraic Number Theory

See the attached file. 1) Compute the Cayley tables for the additive group Z and for the multiplicative group Z of non-zero elements in Z. 2) Let G be a group written additively. Recall that the order of an element a is the minimal natural number n such that na = 0. If such n does not exits then one says that the order

Synthetic Division

How would you explain the performance of synthetic division to someone else? Use the problem (2x3 - 3x2 - 11x + 7)/(x + 3) to support your explanation.

Finding Slope from the Equation of a Line

Please help with the following algebra problems. Provide step by step calculations as well as explanations. If possible, provide an additional example. The equation of a line is given below. Find the slope of a line that is: a. Parallel to the line with the given equation. b. Perpendicular to the line with the given equa

Quadratic Function Model

Annual profit in thousands of dollars is given by the function, P(x) = -.1x2 + 50x - 300, where x is the number of items sold, x ? 0. Describe the meaning of the number -.1 in the formula, in terms of its meaning in relation to the profit. Describe the meaning of the number -300 in the formula, in terms of its meaning in rel

arithmetic sequence for depreciation

Depreciation: For tax purposes, businesses frequently depreciate equipment. Two methods of depreciation are straight-line depreciation and sum-of-the-years'-digits. Suppose that a college student buys a $3000 computer to start a business that provides Internet services. This student estimates the life of the computer at 4 years,

Key Components of Functions and Graph Verbally

The height h(t) in feet above the ground of a golf ball depends on the time, t (in seconds) it has been in the air. Ed hits a shot off the tee that has a height modeled by the velocity function h(t) = 0.5at^2 + vt + s where a is -32 ft/sec^2, v is the initial velocity, and s is the initial height. 1. Write a function that mod

Network Models

Minfly Golf Company manufactures golf balls at Philadelphia, Chicago, and Denver. Cases of golf balls are shipped to warehouses in Orlando, Dallas, and Los Angeles. The following table provides the weekly capacities of the factories and the minimum weekly requirements of the warehouses along with the cost per case to ship betwee

In solving the equation (x + 1)(x - 2) = 4

1.) In solving the equation (x + 1)(x - 2) = 4, Eric stated that the solution would be x + 1 = 4 => x = 3 or (x - 2) = 4 => x = 6. However, at least one of these solutions fails to work when substituted back into the original equation. Why is that? Please help Eric to understand better; solve the problem yourself, and explain

Aerobics Instructor: Water Consumption Problem

An aerobics instructor says she drinks one cup (8 ounces) of water before she starts her classes and then she drinks 10 ounces every 10 minutes. a. How much water does she drink when she teaches 2 one-hour classes in a row? b. Let W represent ounces of water and N the number of 10-minute intervals the aerobics instructor s