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The weekly sales commission at Company X is 2 percent of the first $2,000 of weekly sales plus 15 percent of the weekly sales in excess of the first $2,000. The weekly sales commission at Company Y is 5 percent of the first $2,000 of weekly sales plus 10 percent of the weekly sales in excess of the first $2,000. In a given week, what is the amount of weekly sales at Company Y that would earn the same weekly sales commission as $5,000 in weekly sales at Company X?
In a distribution of the values of the variable x, the 50th percentile is 48.5, and the 60th percentile is 56.5.
In a distribution of 8,500 different measurements of the variable X, 26.5 is the 56th percentile and 37.1 is the 78th percentile. Which of the following is closest to the number of measurements of X that are in the distribution such that 26.5 ≤ X ≤ 37.1?
At a certain elementary school, 10 percent of the fifth-grade students are members of the school band. If 12 percent of the fifth-grade boys and 8 percent of the fifth-grade girls are members of the band, what percent of the fifth-grade students at the school are boys?
m and n are integers.
If the perimeter of the isosceles right triangle shown is 1+√2, what is the area of the
n is an integer greater than or equal to 5.
4 < x < y < 8
In 1998 the yearly expenses to run a certain small business were x dollars. In 1999 the yearly expenses to run the business increased by 10 percent of the 1998 yearly expenses. In 2000 the yearly expenses decreased by 5 percent of the 1999 yearly expenses.
A certain band will perform 15 different songs in random order, and no song will be performed twice. If 9 of the songs are new, what is the probability that the first 2 songs that the band performs will both be new? Give your answer as a fraction.
A furniture store purchased sofas for a wholesale price of $400 each and sold most of them for a retail price of $560 each. In a summer sale, the retail price of the last few sofas was reduced by x dollars, and they were sold at this reduced price. The store’s profit form selling the last sofa was more than 15 percent of its wholesale price. Which of the following could be the value of x? Indicate all such values.
5, 8, 3, 7
In the figure shown, the line through points A and B is tangent to the circle with center O at point B.If the diameter of the circle is 60 and the length of line segment AB is 40, what is the length of the line segment AC?
a < b < c < d < e
A certain brand of chewing gum can be purchased in only two ways:
Quantity A is greater.
The width and the length of a rectangular piece of plywood are 4 feet and 8 feet, respectively. Along one edge of the plywood, a strip x inches wide and 8 feet long is removed. Then, along an edge perpendicular to the 8-foot edge, a strip x inches wide is removed. For what value of x will the remaining rectangular piece have width and length in the ratio of 2 to 5? (1 foot = 12 inches)
Which of the following pairs of integers have reciprocals whose sum is either less than 1/3 or greater than 1/2? Indicate all such pairs.
A bookcase has s shelves with n books on each shelf, where n is a multiple of both s and s-1. If all of the books on the highest shelf were removed and redistributed equally among the other shelves, which of the following represents the number of books that would be on each of the other shelves?