for a certain credit card, given a starting balance of p and an ending balance of a, the function below gives the number of months n that have passed, assuming that no payments or additional purchases occurred during that time. suppose you started with a debt of $1000 and now owe $1210.26. the debt has been building for months. round to the nearest whole month. (hint: first simplify the numerator by hand, using the properties of logarithms. then use a calculator to evaluate the numerator divided by the denominator to find the value of n.)

n = log a − log p / log(1.0175)

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 love to play soccer! you make a shot at the net 8 times during a game! of those 8 attempts, you score twice. what percent of the time did you score?

Use composition to determine if (x) or h(x) is the inverse of f(x) for the limited domain x2-1.