Agroup of adults and students went on a class trip to washington, dc. the number of male students was 1 more than 7 times the number of adults. the number of female students was half the number of male students. if the total number of people who went on the trip is 82, find the numbers of male students and female students.

You earn a 12% commission for every car you sell. how much is your commission if you sell a $23,000 car?

The functions below show the amount of money bella and sweet t had saved after earning money for doing chores. which description best compares the two functions?

If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0