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1) Business: The following table shows the profit (in billions of dollars) for Intel Corporation. (Data from: www.morningstar.com)
Year
Profit
2004
7.5
2005
8.7
2006
5.0
2007
7.0
2008
5.3
2009
4.4
2010
11.5
2011
12.9
2012
11.0
a) Plot the data with X=4 corresponding to the year 2004
b) Use quartic regression to find a fourth-order polynomial function h(x) that model these data.
c) Graph h(x) on the same screen as the data points. Does the graph appear to fit the data well?
d) According to the model, what were Intel's profits in 2010?
2) Business: Suppose a cost-benefit model is given by
F(x) = 6.2x/(112-x)
Where f(x) is the cost, in thousands of dollars, of removing x percent of a certain pollutant.
Find the cost of removing the given percentages of pollutants.
a) 0%
b) 50%
c) 80%
d) 90%
e) 95%
f) 99%
g) 100%
h) Graph the function on the same screen.
Suppose we are given the following programming segment - How do we interpret O(3n)
In a right triangle find the length of the side not given b=2, c=sqrt13 the length of the third side is ? Use the foil method to find the product: (8x^3-9)(x^9-3)
Let f:[0,1] be a bounded function. Show that, for every n, the upper Riemann sum and the lower Riemann sum satisfy the inequality .
If the cost of a cell phone has decreased 400% during the past 10 years, does that correspond to a cost decrease of four times? Explain your answer as though you were talking to someone who has never taken algebra.
A utility company has the following rate schedule for natural gas usage in a city's business district. Graph the following function using transformations. Be sure to graph all of the stages on one graph all of the stages on one graph.
Compare and contrast the value of three separate, grand strategies for your organization.
Explain under what circumstances each method would be preferred over any of the other methods. Give an example for each circumstance.
Provide three real world applications of a parabola and explain its importance to our daily life.
Determine the perfect trinomial
Apply the guidelines for Graphing Polynomials to graph
Write algebraic expressions for two numbers with a sum of - 3. Let one of the numbers be represented by x. If one number is represented by x, how would the other number be represented?
Calculate the marginal cost of the bags.
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