Zucker enterprises manufactures painted porcelain dolls. zucker conducted a time study of the painting task. the painters took from ½-hour to 1½ hours to paint one doll. zucker enterprises pays its painters $18.00 per hour. the company also pays $11.00 per doll for materials. it wants to spend no more than $24.50 in prime costs. what is the longest time a painter should spend painting a doll?

The total number of photos on hannah’s camera is a linear function of how long she was in rome. she already had 44 photos on her camera when she arrived. then she took 24 photos each day for 6 days. what is the rate of change of the linear function that represents this

Geometry in the diagram, ∠abc is a right angle. ∠dbc = 30°27'40". find the measure of ∠abd.

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)