For each problem - SHOW ALL WORK!!! 1. A bee flies 330 m to its hive, which is due north. It then flies to another

hive 225 m away at 30.0 degrees north of west. What is the displacement

of the bee? (Displacement - magnitude and direction)

You are the manager in charge of global operations at bankglobal – a large commercial bank that operates in a number of countries around the world. you must decide whether or not to launch a new advertising campaign in the u. s. market. your accounting department has provided the accompanying statement, which summarizes the financial impact of the advertising campaign on u. s. operations. in addition, you recently received a call from a colleague in charge of foreign operations, and she indicated that her unit would lose $8 million if the u. s. advertising campaign were launched. your goal is to maximize bankglobal’s value. should you launch the new campaign? explain. pre-advertising campaign post-advertising campaign total revenues $18,610,900 $31,980,200 variable cost tv airtime 5,750,350 8,610,400 ad development labor 1,960,580 3,102,450 total variable costs 7,710,930 11,712,850 direct fixed cost depreciation – computer equipment 1,500,000 1,500,000 total direct fixed cost 1,500,000 1,500,000 indirect fixed cost managerial salaries 8,458,100 8,458,100 office supplies 2,003,500 2,003,500 total indirect fixed cost $10,461,600 $10,461,600

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?

The 39 percent and 38 percent tax rates both represent what is called a tax "bubble." suppose the government wanted to lower the upper threshold of the 39 percent marginal tax bracket from $335,000 to $208,000. what would the new 39 percent bubble rate have to be? (do not round intermediate calculations. enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)