Avery invested $3,800 in an account paying an interest rate of 5\tfrac{1}{2}5 2
1
​
% compounded monthly. Serenity invested $3,800 in an account paying an interest rate of 6\tfrac{1}{8}6
8
1
​
% compounded continuously. After 17 years, how much more money would Serenity have in her account than Avery, to the nearest dollar?

Lines p and q intersect. find the value of b. show your work. cite any theorems you use.

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:

Ahiking trail is 6 miles long. it has 4 exercise stations, spaced evenly along the trail. what is the distance between each exercise station?