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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?
a spherical wood bead is formed by taking a sphere of radius 5 mm and drilling out a cylindrical hole. The hole has a radius of 2 mm. What is the volume of the resulting bead? (Use Volume by slicing methord to solve this problem in Calculus.)
Strontium 90 is a radioactive material that decays according to the function A(t)=Ae^(-.0244t), where A is the initial amount present and A is the amount present at time t (years). What is the half-life of strontium 90? The answer is 28.4 years. H..
For every adult ticket sold, the school can donate $5.00 to charity. A total of 512 tickets are sold 0.5 of them are adult tickets. How much money can the school donate?
George has decided that a distribution of data is cubic, that is it has the general form of a function "f(x)=x^3" if the point on the curve that should be at (0,0) is found at (-3,7) and the point.
Selena left a 15% tip for a meal. The tip was $8.40. What was the cost of the meal before the tip?
An anchor weighing 70 lb in water is attached to a chain weighing 4 lb/ft in water. Find the work done to haul the anchor and chain to the surface of the water from a depth of 45 ft.
Stephanie bought eighteen pens, some black and the rest blue, for $8.22. The blue pens cost $0.06 more than the black pens. The number of blue pens that she bought was as close as possible to the number of black pens that she bought. What was the ..
Calculate the range, variance, inter quartile range, coefficient of variation and standard deviation.
Suppose that f is continuous on [a,b]. Prove that f is integrable, i.e., ( the integral symbol with b at top and a at the bottom) f exists.
A ball drops from a height of 14 feet. Each time it hits the ground, it bounces up 65 percents of the height it fall. Assume it goes on forever, find the total distance it travels.
Factoring is the problem of computing, on input a positive integer n, a factorization of n in terms of prime powers
When a large shipment of alternators is received at the plant, 100 are tested, if more than two are nonconforming, the shipment is returned to the alternator manufacturer. What is the probability of returning a shipment?
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