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The manager of a large apartment complex knows from experience that 110 units will be occupied if the rent is 500 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 1 dollar increase in rent. Similarly, one additional unit will be occupied for each 1 dollar decrease in rent. What rent should the manager charge to maximize revenue?
Which set of vertices represents a square?
Determine the amount of agricultural products consumed in the production of $100 million worth of manufactured goods.
Prove that T is a vector space homomorphism. What value of a, b, c, d will T be an isomorphic or isomorphism?
Use polar coordinates to find the volume of the given solid.
Jorge purchased municipal bonds which yield 6% annually and certificates of deposit which yield 8% annually. If Jorge's initial investments amount to $11,000 and the annual income is $720, how much money is invested in bonds?
A mall has three department stores, JC Penney, Macy's, and Sears. A survey of 2,118 people exiting the mall found that 433 made a purchase at JC Penney, 412 made a purchase at Macy's, 638 made a purchase at Sears
Evaluate critical points, end points, local extrema and global extrema - Evaluate f at its critical points and at the endpoints of the given interval. Identify local and global maxima and minima of f in the interval.
a customer must enter his or her four-digit Personal Identification Number (PIN). How many different PINs are possible?
A rocket consists of a right circular cylinder of height 25m surmounted by a cone whose height and diameter are equal and whose radius is the same as that of the cylindrical section.
A motorcycle dealership has allocated 90% of its employees to the sales of motorcycles of which 70% of this 90% are male employees, this company has also determined that 80% of all its employees are male.
Let m and n be positive integers with n dividing m. Prove that the natural surjective ring projection Z/mZ ->Z/nZ is also surjective on the units:(Z/mZ)^x ->(Z/nZ)^x
Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope of 6.4.
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