Solve the problem.A population grows according to the logistic growth model, with growth parameter r = 0.9 and initial population given by p0 = 0.2. What does the logistic growth model predict in the long term for this population?
A. extinction
B. The population settles into a two-period cycle alternating between a high-population period at 14.4% and a low-population period at 3% of the habitat's carrying capacity.
C. It stabilizes at 3% of the habitat's carrying capacity.
D. The population settles into a four-period cycle with the following approximate percentages of the habitat's carrying capacity: 14.4%, 8.8%, 11.1%, 7.2%.
E. unlimited growth
Answer: A
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An elderly rancher died and left her estate to her three children. She bequeathed her 17 prize horses in the following manner: 1/2 to the eldest, 1/3 to the second child, and 1/9 to the youngest.
?
The children decided to call in a very wise judge to help in the distribution of the rancher's estate. They informed the judge that the 17 horses were not of equal value. The children agreed on a ranking of the 17 horses (#1 being the best and #17 being a real dog of a horse). They asked the judge to divide the estate fairly so that each child would receive not only the correct number of horses but horses whose average rank would also be the same. For example, if a child received horses 1 and 17, the number of horses is two and the average value is 
. How did the judge apportion the horses?
What will be an ideal response?
The earth rotates through one complete revolution every 1,440 minutes. Since the axis of rotation is perpendicular to the equator, you can think of a person standing on the equator as standing on the edge of a disc that is rotating through one complete revolution every 1,440 minutes. Find the angular velocity of a person standing on the equator. ? If the answer needs rounding, round it to five decimal places. ? __________ rad/min
What will be an ideal response?
Solve the inequality.
< 0
A. (-1, 0) ? (0, 4) B. (-1, 0) ? (4, ?) C. (-?, -1) ? (0, 4) D. (-1, 4)
Solve the problem.An office manager is buying used filing cabinets. Small file cabinets cost $4 each and large file cabinets cost $11 each, and the manager cannot spend more than $61 on file cabinets. A small cabinet takes up 5 square feet of floor space and a large cabinet takes up 9 square feet, and the office has no more than 62 square feet of floor space available for file cabinets. The manager must buy at least 5 file cabinets in order to get free delivery. Let x = the number of small file cabinets bought and y = the number of large file cabinets bought. Write a system of inequalities that describes these constraints.
A. 4x + 11y ? 61 9x + 5y ? 62 x ? 5 B. 4x + 11y ? 61 5x + 9y ? 62 y ? 5 C. 4x + 11y ? 61 5x + 9y ? 62 x + y ? 5 D. 4x + 11y ? 61 5x + 9y ? 62 x + y ? 5