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A certain charity is conducting a fund-raiser. For the first $9,000 raised by the charity, Company B will contribute $1 for every $3 collected by the charity. For any amount over $9,000 raised by the charity, Company B will contribute $2 for every $5 collected by the charity. How much money must the charity raise in order to reach a total of $68,000, including the contribution from Company B?
Which of the following is greatest?
x, n and k are all integers, 0 < x < $$10^{7}$$, x=$$n^{k}$$

If the units digit of x is 5, and x could be transformed into both the square of an integer and the cube of an integer, then x must be?
The operation is defined by x✸y=$$\frac{x^{2}}{y}$$+$$\frac{x}{y}$$ for all numbers x and y, where y≠0. What is the value of (9✸ (-9))+((-9) ✸9)?


Square BDFG is inscribed in isosceles triangle ACE. If the area of triangular region ACE is 1, what is the area of triangular region BCD?
In the circle below, the center lies in point O, and AOB is a right-angled isosceles triangle.



Quantity A

The area of the triangular region AOB

Quantity B

Twice the area of the shaded area




In the figure, MN is tangent to the circle at point P, and O is the center of the circle, and the length of PN is $$2\sqrt{3}$$.

Quantity A

The circumference of the circle

Quantity B

36


For how many of the five vehicle types is the number of silver vehicles less than 20 percent of the total number of vehicles of that type?


The table above summarizes customer satisfaction ratings for two banks, where each rating is an integer from 1 to 10. Which of the following statements must be true?

Indicate all such statements.
Fred`s suitcase contains 4 shirts, 3 pair of pants, and 2 pair of shoes. A matching outfit consists of any shirts, any pair of pants, and a pair of shoes, except that one of the shirts does not match one of the pairs of pants. How many matching outfits can be selected from Fred`s suitcase?
Three numbers are to be selected at random and without replacement from the five numbers 4, 5, 7, 8 and 11. What is the probability that the three numbers selected could be the lengths of the sides of a triangle?
An affinity for (i)___________ is a characteristic of Bynum`s work and of her rhetorical strategy as a historian, and it is often both refreshing and illuminating. But this predilection for (ii)___________ can be vexing, too, by appearing to eschew necessary distinctions.
Meteorology is one of the few fields of applied science that demands prediction; since prediction involves considerable uncertainty and uncertainty is _____________ scientists, meteorology will continue to exist in a fraught intellectual space.
El Greco was one of the most fervent of painters, to the extreme of mania, while Velazquez, by contrast, was one of the most ______________.
Because they view Earth's resources as strictly limited, some environmentalists find the notion of sustainable growth to be ______________, believing that self-restraint and sacrifice must be at the heart of any environmentally sound strategy for the future.
In a certain sequence, each term after the first is equal to the preceding term multiplied by -$$\frac{1}{2}$$. If the 200th term is positive, which of the following statements must be true?

Indicate all such statements.

Quantity A

100!

Quantity B

$$(50!)^{2}$$


In 1970 approximately what percent of United States residents were older than 5 but younger than 65 years old?

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