SOLUTION: Every June 1, an ecologist takes a census of the number of wrens in a state park. She noticed that the number is decreasing by 40% each year. If this trend continues, in what year

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Every June 1, an ecologist takes a census of the number of wrens in a state park. She noticed that the number is decreasing by 40% each year. If this trend continues, in what year       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 262183: Every June 1, an ecologist takes a census of the number of wrens in a state park. She noticed that the number is decreasing by 40% each year. If this trend continues, in what year will the census show that the number of wrens is less than 10% of what is was on June 1, 2005?

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!

2006 .6x=.6x
2007 .6*.6x= .36x
2008 .6*.6*.6=.216
2009 .6*.6*.6*.6=.1296
2010 .6*.6*.6*.6*.6=.077
so five years later June 2010
.6^5x<.1x