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The manager of a large apartment complex knows from experience that 80 units will be occupied if the rent is 440 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 10 dollar increase in rent. Similarly, one additional unit will be occupied for each 10 dollar decrease in rent. What rent should the manager charge to maximize revenue?
Suppose a business purchases a new tractor at an original cost of $42,000. Further, suppose this tractor has a useful life of 8 years and a salvage value of $10,000.
Express logarithm into exponential form and solve logarithmic equation and solve the log 4 2 = 1/2 in exponential form.
find the dimensions of a rectangle whose length is 5 more than its width and whose area is 91 square inches.
The following table gives the velocity data for a shuttle between lift off and the jettisoning of the solid rocket boosters.
50000 people at stadium, and 40000 of them are male. if 2 people are selected at random, what is the probability that both are male?
You're at a school fair where one of the games is "Spin the Wheel". Players spin a giant wheel with numbers 1-40. Look at each of the criteria and express the answers as a decimal, fraction and a percentage.
You and six friends play a game where each person writes down his or her name on a scrap of paper, and the names are randomly distributed back to each person. Find the probability that everyone gets back his or her own name.
A draw bridge is 160 feet long. The two sections of the bridge can be lifted upward to an angle of 40 degrees. If the water is 20 feet below the bridge, find the distance d between the end of a section and the water level when the bridge is fully ..
Show that if for each i, the point p is a deformation retract of an open set W_i of X_i, then the fundamental group of X is the external free product of the groups pi_1(X_i, p) relative to the monomorphisms induced by inclusion.
Determine whether A=B , if A is a subset of set B, if set B is a subset is a subset of A, if set A is a proper subset of set B, if set B is a proper subset of set A , or if none of these applies.
Determine the number of analysts, programmers, and engineers to be hired if for every one engineer. 2 programmers and 2 analysts are needed for the contract.
The distance between the building and the pole is 199 ft, and the pole casts a shadow that is 4.5 ft long. How tall is the building?
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