Calculate the present value of the following annuity streams: a. $4,000 received each year for 6 years on the last day of each year if your investments pay 5 percent compounded annually. b. $4,000 received each quarter for 6 years on the last day of each quarter if your investments pay 5 percent compounded quarterly. c. $4,000 received each year for 6 years on the first day of each year if your investments pay 5 percent compounded annually. d. $4,000 received each quarter for 6 years on the first day of each quarter if your investments pay 5 percent compounded quarterly. (for all requirements, do not round intermediate calculations. round your answers to 2 decimal places. (e. g., 32.16))

Alpine west, inc., operates a downhill ski area near lake tahoe, california. an all-day, adult ticket can be purchased for $55. adult customers also can purchase a season pass that entitles the pass holder to ski any day during the season, which typically runs from december 1 through april 30. the season pass is nontransferable, and the $450 price is nonrefundable. alpine expects its season pass holders to use their passes equally throughout the season. the company’s fiscal year ends on december 31. on november 6, 2009, jake lawson purchased a season ticket. required: 1. when should alpine west recognize revenue from the sale of its season passes? 2. prepare the appropriate journal entries that alpine would record on november 6 and december 31. 3. what will be included in the 2009 income statement and 2009 balance sheet related to the sale of the season pass to jake lawson?