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1. An entrepreneur buys an apartment building with 40 units. The previous owner charged $240 per month for a single apartment and on average rented 32 apartments at that price. The entrepreneur discovers that for every $20 he raises the price another apartment stands vacant.
A. Let x represent the number of $20 price increases. Write expressions for the new price, the number of rented apartments, and the total revenue.
B. What price should the entrepreneur charge for an apartment in order to maximize his revenue?
A number (a) is called a fixed point of a function (f) if f(a)=a. Prove that, if f'(x) does NOT equal 1 for all real numbers (x), then f has at most one fixed point.
Prove that if M is a maximal ideal of S and phi is surjective then phi^-1(M) is maximal ideal of R. Give an example to show that this need not be the case if phi is not surjective.
The three methods of solving linear systems covered are substitution, elimination, and graphing. There are examples posted on the solution field and in the attachment.
Probability Distribution: Mean, Variance & S.D. A frequency distribution is shown below. Complete parts (a) through (e). The number of dogs per household in a small town
Quantitative Methods- Probabilities Problem. A country road averages 6 potholes per mile. A road crew is sent out to repair the road. Find the following probabilities. Use the appropriate table or software if you want.
Evaluate the given expression and Perform the indicated operation - Evaluate -2x 4 - 3x 2 + 5x - 9 for x = 2.
Find the equation of the line through the point (-1, 3), having a slope equal to 3/7. Find the equation of the line that passes through the point (2, 3) and which is perpendicular to the line y = -4x + 5.
Write each of the following expressions in correctly parenthesized text using one line (also called calculator notation or inline notation)
Find the probability of 14 or more widowed people in a random sample of 290 bowling league members?
Suppose that each member of a set of people has a list of k books which he or she wishes to borrow from a library. SUppose also that each book appears on exactly k lists. Show that it is possible for everyone to borrow one of the books on his or h..
To determine whether the system described is a group. G = set of all integers, a.b = a - b
If I treat the upper block as a 2x2 matrix, I can find P = [1 0; 1 1] (Note: Using Matlab notation here). This correctly results in INV(P)AP = [3 1; 0 3] which is in the form needed.
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