SOLUTION: a school has 320 students. each year as the town gets smaller 6% of the students leave. How many years until the school has 100 students

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: a school has 320 students. each year as the town gets smaller 6% of the students leave. How many years until the school has 100 students       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1018854: a school has 320 students. each year as the town gets smaller 6% of the students leave. How many years until the school has 100 students
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
a school has 320 students. each year as the town gets smaller 6% of the students leave. How many years until the school has 100 students
--------------
94% remain
--> 320*0.94 the 1st year
320*0.94*0.94 the 2nd year
320*0.94^n the nth year
--------
320*0.94^n = 100
0.94^n = 100/320 = 0.3125
n*log(0.94) = log(0.3125)
n = log(0.3125)/log(0.94)
n =~ 18.8 years