E: create a recursive function to model the table of values. in that function, the year 2013 is the first data point, so n = 1 for 2013. this means f(1) = 125 is the first term of the sequence, and r is the constant factor by which the number increases every year.

f: rewrite the recursive equation that you got in part e as an explicit equation where the initial value is a and the time elapsed is n years.

year 2013 2014 2015 2016

population of butterflies 125 150 180 216

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:

You and a friend went to the movies.you spent half your money on tickets. then you spent 1/4 of the money on popcorn, $2 on candy, and $3 on a soda. if you have $1 left, hiw much money did u take to the movies?

Solve the triangle. a = 21°, c = 105°, c = 5