A toy rocket is launched from a platform that is 48 feet high. The rocket’s height above the ground is modeled by h = -16t^2 + 32t + 48.

a) Find the maximum height of the rocket.

b) Find the time it will take for the rocket to reach the ground.

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)

Assume that y varies inversely with x. if y=1.6 when x=0.5 find x when y=3.2 acellus answer

Pamela has a 30-year, 5.75% mortgage on her $250,000 home. she has been paying on it for 5 years, and has recently hit some financial trouble. if her lender agreed to lower the interest rate on her $231,905.47 balance to 5.5%, what will her new payment be for the remainder of the loan?