Officials begin to release water from a full man-made lake at a rate that would empty the lake in 6 weeks, but a river that can fill the lake in 20 weeks is replenishing the lake at the same time. how many weeks does it take to empty the lake? express your answer as a fraction reduced to lowest terms, if needed.

Bond x is noncallable and has 20 years to maturity, a 7% annual coupon, and a $1,000 par value. your required return on bond x is 10%; if you buy it, you plan to hold it for 5 years. you (and the market) have expectations that in 5 years, the yield to maturity on a 15-year bond with similar risk will be 9.5%. how much should you be willing to pay for bond x today? (hint: you will need to know how much the bond will be worth at the end of 5 years.) do not round intermediate calculations. round your answer to the nearest cent.

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?

You are attending college in the fall and you need to purchase a computer. you must finance the purchase because your parents will not purchase it for you, and you do not have the cash on hand to purchase it. in blank #1 determine which type of credit would you use to finance your purchase (installment, non-installment, or revolving credit). (2 points) in blank #2 defend your credit choice by explaining why your financing option is the best option for you. (2 points) in blank #3 explain why you selected that credit option over the other two options available. (2 points)