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?

More challenges: 1) factor out the indicated quantity.8mn² + 7mn - m : factor out the quantity -m2) factor the polynomial by grouping.2vw + 7cv + 14cw + 49c²3) factor completely using the difference of squares along with factoring by grouping.25v³ - 25v² - 4v + 44) factor the sum of cubes. 125x³ + 645) q³ + 27r³6) factor completely. use difference of squares.729p^6 - 6^67) solve the equation(7x + 4)(9x - 1) = 08) a. find the values of x for which f (x) = 0b. find f (0)f (x) = x² + 2x - 489) find the x and y-intercepts for the function defined by y = f (x)f (x) = (x + 3)(x + 4)(x - 1)²10) factor the trinomial completely by using any method. remember to look for a common factor first. 3v² - 2v - 16