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A real estate office handles a 60-unit apartment complex. When the rent is $530 per month, all units are occupied. For each $45 increase in rent, however, an average of one unit become vacant. Each occupied unit requires an average of $65 per month for service and repairs. What rent should be charged to obtain a maximum profit?
A health spa claims that a new exercise program will reduce a person's waist size by 2 centimeters on the average over a 5-day period. The waist sizes of 6 men who participated in this exercise program are recorded before and after the 5-day p..
A homeowner wants to enclose a 5,300 square foot rectangular garden by a fence in his backyard. If 3 sides of the fence cost $8.25 per foot and the 4th side costs $11.25 per foot,
Examples of the product rule of exponents: Sometimes when students see the rule they want to write it as 4^2 + 4^3 = 4^5. Can you explain why this does not work?
A 6.00 in radius cylindrical rod is 2 ft long. Use a differential to approximate how much nickel (in in^3) is needed to coat the entire rod with the thickness of .12 in.
Find the midpoint and length of the line segment PQ where P=(2,-7) and Q=(5,1). We will also use vectors to find the length of the segment.
Determine how many ways a vending company can buy three of these units and receive (a) no defective units, (b) all defective units and, (c) at least one good unit.
Water is poured into a container that has a leak. The mass m of the water is given as a function of time t by m = 4.8t0.8 - 3.1t + 19, with t ≥ 0, m in grams, and t in seconds.
The BETWEEN groups sum of squares was calculated to be 1,892.6, and the WITHIN groups sum of squares was calculated to be 14,482.9. (NOTE: These are not the mean sum of squares) Calculate the F-statistic to two decimal places.
State the estimated linear regression equation. State and interpret the slope coefficient, b1 which depicts the changes in the braking distance by the vehicle speed.
Suppose that you are to make a rectangular box with a square base [B]from two different materials. The material for the top and four sides of the box costs $1/ft^2; the material for the base costs $2/ft^2.
A random sample of 50 employees at a company was obtained. The one-way distance from home to work was recorded for ach employee in the sample. Suppose the mean of the sample was 15.2 miles and the standard deviation was 4.2 miles.
Present your final solutions as decimal approximations carried out to the third decimal place. Due to the nature of these solutions, no check is required.
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