Next weekend marnie wants to attend either carnival a or carnival b. carnival a charges $6 for admission and an additional $1.50 per ride. carnival b charges $2.50 for admission and an additional $2 per ride. a) in function notation, write a(x) to represent the total cost of attending carnival a and going on x rides. in function notation, write b(x) to represent the total cost of attending carnival b and going on x rides. b) determine the number of rides marnie can go on such that the total cost of attending each carnival is the same. [use of the set of axes below is optional.] c) marnie wants to go on ve rides. determine which carnival would have the lower total cost. justify your answer.

Elon musk is the ceo of tesla motors. musk also serves as chairman of tesla's board. according to corporate governance theory, which of the following is a logical reason why musk should serve on the board? 1. he serves on many other boards, including that of a major client of tesla.2. his is an independent director who is well positioned to monitor the company's management.3. he can easily fire board members that are shirking their duties.4. he can provide the board with valuable inside information about the firm and the industry.

For the past six years, the price of slippery rock stock has been increasing at a rate of 8.21 percent a year. currently, the stock is priced at $43.40 a share and has a required return of 11.65 percent. what is the dividend yield? 3.20 percent 2.75 percent 3.69 percent

Onsider the following subscription behavior information from genie, a web site that provides tools for constructing a family tree (ancestor search). subscriptions cost $9.99 per month, but you are charged for the entire year at the time of purchase. there is a one-year minimum term when you sign up for the service. once purchased, subscriptions are set to renew automatically unless the subscriber cancels them. when a membership renews, it renews for a one-year term and again you are charged for the entire year. there are no variable costs associated with providing this service to an individual customer, but genie does engage in customer relationship activities that they believe will increase customer retention. these customer relationship activities cost genie about $10 per year per customer. based on a sample of 1000 customers that joined genie five years ago, near the time when the company was founded, they were able to determine how many of those customers remained subscribers in the second year, third year etc. based on this information, genie calculated the average annual retention rate to be 20%. genie uses an annual discount rate of 8%. a. last year, genie spent $10,000 placing advertisements on google. genie management believes that these advertisements were responsible for about 300 new subscribers. would you recommend to genie management that they purchase more google ads? b. suppose a newly-introduced loyalty program increases the number of customers that remained to 30%. does this new data change your answer to 9.a? c. do you have any hesitations or concerns about making recommendations to management based on your above estimate of customer lifetime value?