A certain lake currently has an average trout population of10,000. The population naturally oscillates above and below averageby 1,000 every year. This year, the lake was opened to fishermen.If fishermen catch 2,000 fish every year, how long will it take forthe lake to have no more trout? (Assume that the trout populationat the beginning of the year is increasing. Round your answer totwo decimal places.)