Amy makes $84 for 12 hours of babysitting her first week on the job. The second week she babysits for 14 hours and earns $98. The third week she babysits for 20 hours and earns $140. She makes a regular
amount of pay per hour. Which equation below could be used to calculate her total earnings each week,
E, based on the number of hours she babysits, n?

Write a polynomial that fits the description: a third-degree polynomial with leading coefficient -4

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 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)

The volume of a spherical hot air balloon v(r) = 4 3 ? r3 changes as its radius changes. the radius is a function of time given by r(t) = 3t. find the instantaneous rate of change of the volume with respect to t at t = 2.