SOLUTION: I need help, please! Approximately one-half of all glass bottles distributed will be recycled each year. A beverage company distributes 310,000 bottles. The number still in use af

Algebra ->  Graphs -> SOLUTION: I need help, please! Approximately one-half of all glass bottles distributed will be recycled each year. A beverage company distributes 310,000 bottles. The number still in use af      Log On


   

Question 327119: I need help, please!
Approximately one-half of all glass bottles distributed will be recycled each year. A beverage company distributes 310,000 bottles. The number still in use after t years is given by the function N(t)=310,000 (1/2)^t

After how many years will 5000 bottles still be in use?
Answer by galactus(183) About Me  (Show Source):
You can put this solution on YOUR website!
Set the given equation equal to 5000 and solve for t.
5=310%281%2F2%29%5Et
1%2F62=%281%2F2%29%5Et
ln%281%2F62%29=tln%281%2F2%29
t=ln%281%2F62%29%2Fln%281%2F2%29=5.95 years.