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Question: Demand for cars (as opposed to SUVs, Crossovers, and Trucks) is currently very low. This is caused in large part by the current low price of gas. Assume you drive 40 miles round trip each day to work. Also assume that you currently drive an older small car that enjoys 30/mpg. Your old car needs to be replaced and you can now afford a new and nicer car. You prefer a bigger vehicle that sits higher. Would you buy a bigger SUV/Crossover/Truck that averages 23/mpg or a car that averages 36/mpg? Explain how your decision is impacted by your estimates of what will happen to the factors that will affect gas prices in the future. Do not discuss consideration outside of gas price considerations.
Let A be the real 2x2 matrix with bc greater than or equal to 0. Prove there exists a real 2x2 invertible matrix S so that S^-1 A S is either diagonal or of the form
Show that the functions x and x^2 are orthogonal in P5 with inner product defined by ( =sum from i=1 to n of p(xi)*q*(xi) ) where xi=(i-3)/2 for i=1,...,5.
Explore whether you get the same answer by using five element sets as your model of hands or five element permutations as your model of hands.
What is the difference between domain and range? Describe a real-life situation that could be modeled by a function. Provide feedback about your classmates' answers.
sketch a graph of the given function ch.suppose the concentration of a chemical in the bloodstream of a large animal h
The total budget is $24,000 and the company can buy x, y, z at $80, $12, and $10 per unit, respectively. What combination of inputs will maximize production?
what could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
describe the order of operations and explain how it is used to simplify expressions. explain specifically the order in
Find Normal Probability Distributions, How many ways can 15 girls be chosen to form a baseball team of 9 players?
A printing press has a roller 12 inches in diameter. The speed of a point on the roller's surface moves at 74 feet per second. What is the roller's angular speed? What is the radians per second
Show that if the smallest prime factor p of the positive integer n is larger than v3 n, then n/p is prime or equal to 1.
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = -3.
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