15. More on the time value of money Lloyd is a divorce attorney who practices law in Florida. He wants tojoin the American Divorce Lawyers Association {ADLA}, a professional organization for divorce attorneys. The membership dues for the ADLA are $750 per year and must be paid at the beginning of each year. For instance, membership dues for the rst year are paid today, and dues for the second year are payable one year from today. However, the ADLA also has an option for members to buy a lifetime membership today for $7,000 and never have to pay annual membership dues. Obviously, the lifetime membership isn't a good deal ifyou only remain a memberfor a couple of years, but ifyou remain a member for 40 years, it's a great deal. Suppose that the appropriate annual interest rate is 8.9%. What is the minimum number of years that lJoyd must remain a member of the ADLA so that the lifetime membership is cheaper {on a present value basis) than paying $750 in annual membership dues? (Note: Round your answer up to the nearest year.) 0 15 years 0 20 years 0 1? years 0 18 years In 1626, Dutchman Peter Minuit purchased Manhattan Island from a local Native American tribe. Historians estimate that the price he paid for the island was about $24 worth of goods, including beads, trinkets, cloth, kettles, and axe heads. Many people nd it laughable that Manhattan Island would be sold for $24, but you need to consider the future value {FVJ of that price in more current times. If the $24 purchase price could have been invested at a 5% annual interest rate, what is its value as of 2018 {392 years later]? O $4,857,541,024.43 O $6,411,954,152.25 O $4,128,909,870.7? O $5,586,172,178.09