The population P of a culture of bacteria is described by the equation P = 1500e^0.052t , where t is the time, in hours, relative to the time at which the population was 1500. (a) What was the population at t=6 hours? Show your work.

(b) After how many hours will the population reach 10,000? Round to the nearest tenth of an hour. Show your work.

What is an equation of the line that passes through the point (-2,3) and is parallel to the line whose equations is y=3/2x-4? i am stuck between y=3/2x or y=3/2x+6 : (

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

Sum is 17 and their difference is 3