SOLUTION: The height of a tree in feet of a certain kind of tree is approximated by: H(T) = 100 DIVIDED BY 1 + 150 exponential to the power of negative 0.32t where t is the age of the

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The height of a tree in feet of a certain kind of tree is approximated by: H(T) = 100 DIVIDED BY 1 + 150 exponential to the power of negative 0.32t where t is the age of the       Log On


   

Question 880711: The height of a tree in feet of a certain kind of tree is approximated by:
H(T) = 100 DIVIDED BY 1 + 150 exponential to the power of negative 0.32t
where t is the age of the tree in years. Estimate the age of a 50 ft tree.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
H%28t%29=100%2F%281%2B150e%5E%28-0.32t%29%29
100%2F%281%2B150e%5E%28-0.32t%29%29=50
1%2F%281%2B150e%5E%28-0.32t%29%29=1%2F2
1%2B150e%5E%28-0.32t%29=2
150e%5E%28-0.32t%29=1
e%5E%28-0.32t%29=1%2F150
-0.32t=ln%281%2F150%29
t=-ln%281%2F150%29%2F0.32
or approximately,
t=15.66
Almost 16 years old.