A person places $686 in an investment account earning an annual rate of 3.8%, compounded continuously. Using the formula V = Pent, where V is the value of the
account int years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 15 years.

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:

5. write an equation for the line that is parallel to the given line and that passes through the given point. y = –5x + 3; (–6, 3)

Find the distance of the blue line between the two labeled points. round to the nearest hundredth. a) 7.07 b) 7.21 c) 10 d) 5.12