3) Sumalee's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 8 senior citizen tickets and 10 child tickets for a total of $162. The school took in $180 on the second
day by selling 10 senior citizen tickets and 10 child tickets. What is the price each of one senior citizen
ticket and one child ticket?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)