If the total amount donated by corporations had been divided evenly among the 4 categories -- education, health and human services, civic and community projects, and culture and the arts -- how much less would have been donated by corporations to education, in billions?
Answer(s): E
Actual donation to Education:35% of 11 billion = 0.35 × 11 = 3.85 billionIf equally divided among 4 categories:How much less would have been donated to education?3.85 - 2.75 = 1.10 billion
The positive integers are distributed into ten sets, S0, S1, S2,..., S9, such that all integers in Sn have n as a units digit. For example, 8, 18, and 28 are in S8. The cubes of all integers in S7 are in which one of the following sets?
Answer(s): B
Each set Sn contains numbers ending in digit n. For example, numbers in S7 have a units digit of 7.Cube a number ending in 7: Try 73 = 343. The units digit is 3.So, the cube of a number in S7 (which ends in 7) ends in 3. That means cubes of all integers in S7 belong to the set S3.
If 5x - 3 > 2, then it must be true that x is
5x - 3 > 25x > 5x > 1
FILL BLANKOf the students enrolled at a university, 30 percent are sophomores. Of the sophomores, 1 percent arerepresentatives to the student council. Of the sophomores who are representatives to the student council, are female. If 4 of the sophomores who are representatives to the student council are female, how many students are enrolled at the university?
Answer(s): A
Let's find the total number of students enrolled at the university. Call it x.Number of sophomores = 0.30xNumber of sophomore representatives = 1% of sophomores = 0.01 × (0.30x) = 0.003xNumber of female sophomore representatives =We are told this equals 4:0.001x = 4
At the end of each year, Company C reports the percent change in that year's annual sales as compared to the previous year's. For two consecutive years, the company reported a 3 percent increase and a 6 percent increase, respectively, in annual sales. What was the percent increase in annual sales over the two-year period?
Answer(s): D
We are to find the total percent increase over both years combined, not just 3% + 6%.Let the initial sales amount be 100 units (you can use any base value for percent change problems).After first year:100 × 1.03 = 103After second year:103 × 1.06 = 109.18From 100 to 109.18 Increase = 109.18 - 100 = 9.18So, the percent increase = 9.18%
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