(Comprohensive problem) Over the past few yoars, Microsoft founder Bill Gates' net worth has fuctuated between $20 bilion and $130 billion. In early 2006 , it was about $26 bailion-after he reduced his stake in Micronoff from 21 percent to around 14 percent by moving bilions into his charitable foundation. Let's see what Bill Gatos can do with his money in the following problems. a. Manhattan's native tribe sold Manhattan Island to Poter Minuat for $24 in 1626. Now, 387 years later in 2013, Bill Gaten wants to buy the island from the "currert natives." How much would Bill have to pay for Manhattan if the "current natives" want a 5 percent arnaal retum on the originat $24 purchase price? b. Bill Gates decides to pass on Manhattan and instead plans to buy the ofy of Soattle, Washington, for $70 billion in 10 years. How much would Bull have to invest todey at 11 porcent compounded annually in order to purchase Seattie in 10 years? c. Now ansume Bill Gates only wants to invest half his net worth today. $13 bellion, in order to buy Seattle for $70 bilion in 10 years. What arnual rate of retum would he have 1o eam in order to complete his purchase in 10 years? d. Instead of buying and running large cities, Bill Gates is considering quitting the rigors of the business woeld and resing to work an his got ganse. To fund his retirement, Bill would inv. his $20 billion fortune in safe investments with an expected annual rate of roturn of 7 percent. He also wants to make 45 equal annual wehdrawals from this retirement fund beginning a year from today, running his retirement fund to $0 at the end of 45 years. How much can his annual withdrawal be in this case? a. The amount Bill would have to pay for Manhattan if twe "current natives" wanted a 5 percont annual refurn on the original $24 purchase price after 387 years is 5.31. balien. (Round two decimal places.) b. The amount Bill would have to invest at 11 percent compounded annually in order to purchase Seatle for 370 billon in 10 years is $ bilizon. (Round to two decimat places)