Sarah and joe are seeking to join a gym. sarah saw on television that great gym is offering membership at $19.50 per month, plus a one-time registration fee of $59. joe plans to join workout world because workout world only charges $9.50 per month, plus a one-time registration fee of $149.

3. (20 points) if sarah decides to join great gym and joe joins workout world, who would pay less during the first month of membership? show your work.

The random variable x represents the number of phone calls an author receives in a day, and it has a poisson distribution with a mean of 8.7 calls. what are the possible values of x

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

21 type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. the solution set of n2 - 14n = -45 is { (separate the solutions with a comma)