FILL BLANKIn 2003, what percent of the in-store purchases that were not paid for in cash were paid for by check?Give your answer to the nearest whole percent.
Answer(s): A
We need to calculate:(check purchases) ÷ (non-cash purchases) × 100From the graph (2003 data):Cash = 33%Check = 15%Credit Card = 21%Debit Card = 31%Calculate non-cash purchases:100% - 33% = 67%Find the fraction of non-cash purchases that were checks:15% of total purchases were by check, so:(15 ÷ 67) × 100 22.39% 22% (rounded to nearest whole percent)
The combined amount donated by corporations to education and to culture and the arts was closest to what fraction of the total amount donated by corporations?
Answer(s): D
Education and culture together receive 35 % + 9 % = 44 % of the $11 billion from corporations, which is 0.44 of the total.Now compare with the given fraction option:
If the data in the table were represented by a circle graph such that the areas of the four sectors were proportional to the amounts of charitable donations from the four sources, what would be the approximate measure of the central angle of the sector representing foundations?
Answer(s): C
Total amount = $191 billionFoundations contributed = $20 billionWe need to find what fraction of the circle that is:Multiply that fraction by 360° (full circle):0.1047 × 360 37.7° 38°
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?
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?
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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