Alice purchased paint in a bucket with a radius of 3.5 inches and a height of 8 inches The paint cost $0.05 per cubic inch. What was the total cost of the paint?Use 3.14 for pi. Round only your final answer to the nearest penny. Enter your answer in the box.

When interest is compounded continuously, the amount of money increases at a rate proportional to the amount s present at time t, that is, ds/dt = rs, where r is the annual rate of interest. (a) find the amount of money accrued at the end of 3 years when $4000 is deposited in a savings account drawing 5 3 4 % annual interest compounded continuously. (round your answer to the nearest cent.) $ (b) in how many years will the initial sum deposited have doubled? (round your answer to the nearest year.) years (c) use a calculator to compare the amount obtained in part (a) with the amount s = 4000 1 + 1 4 (0.0575) 3(4) that is accrued when interest is compounded quarterly. (round your answer to the nearest cent.) s = $

Myflvs -question 3 multiple choice worth 2 points)(10.04 hc)in panama city in january, high tide was at midnight. the water level at high tide was 9 feet and1 foot at low tide. assuming the next high tide is exactly 12 hours later and that the height of thewater can be modeled by a cosine curve, find an equation for water level in january for panamacity as a function of time (t).of(t) = 4 + 5of(t) = 5 cost + 4o 460) = 5 cos 1+ 4of(0) = 4 cos + 5

Cynthia is a hospitality worker in the lodging industry who prefers to cater to small groups of people. she might want to open a