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1. Find the equation for a line which passes through the points (2, 6) and (4, -8). Write the equation in slope-intercept form. Show work.
2. A salesperson earns a base salary of $1,540 per month and a commission of 7.6% on the amount of sales made. If the salesperson has a paycheck of $4,819.40 for one month, what was the amount of sales for the month? Show work.
3. Let f (x) = 5x2 + 9 and g(x) = x - 4.
(a) Find the composite function ( f og)(x) and simplify. Show work.
(b) Find ( f og ) (3). Show work.
Develop a predictive model for calculating the amount of gasoline consumed, using the following symbols for the data.
in 2002 out-of-pocket expenses for an elderly person in poor health were 3353 more than for an elderly person in good
find the maximum possible area of a trapezoid inscribed in a semicircle of radius 1.
Twenty scientists are seeking financial support from the National Science Foundation . Find the number of ways in which the NSF panel can select four of the twenty submitted proposals ranking
Using ANOVA to test mean difference
Choose three fast-food restaurants and describe their value propositions. Are they strongly differentiating themselves?
What are the intercepts of the equation from Part a. of this problem? What are the intercepts from Part b. of this problem? Where would the lines intersect if you solved the system by graphing?
how many ways are there to assign the courses in the spring semester such that no professor teacher the same pair of courses in the spring as in the fall? if all the assignments are equally likely
Consider the various readings (and any other external sources of information you choose to access) and submit a 1 page (single-spaced) report that responds to each of the following questions.
Discuss marx's theory of history. What is the driving force behind his idea of the coming revolution?
Construct the consumption matrix for this economy, and determine what intermediate demands are created if agriculture plans to produce 100 units.
Prove the following vector calculus identity in R 3 , where f is a twice continuously dierentiable scalar eld and F is a twice continuously dierentiable vector fi eld
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