Alexander is going to invest in an account paying an interest rate of 2.4% compounded continuously. How much would Alexander need to invest, to the nearest
hundred dollars, for the value of the account to reach $710 in 19 years?

Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. how fast is the height of the pile increasing when the pile is 14 ft high? (round your answer to two decimal places.) ft/min