The city bike rental program is analyzing their growth in member rates. the number of regular members is growing by 4.7% per month. the number of vip members is growing by 65% per year. write a function to represent the number of regular members after t years. then, write an equivalent function that represents the regular members with only 1 compounding per year. what is the effective yearly rate of growth of regular members? determine the effective rate of growth per year for regular members. which type of member is growing at a faster rate?
a. what is the effective yearly rate of the growth for regular members?
b. which type of member is growing at a faster rate?

What is the binomial expansion of (2x-3)^5

Which shows the first equation written in slope-intercept form? 1/2 (2y + 10) = 7x

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.