In: Advanced Math
A certain lake currently has an average trout population of 10,000. The population naturally oscillates above and below average by 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 for the lake to have no more trout? (Assume that the trout population at the beginning of the year is increasing. Round your answer to two decimal places.)