SOLUTION: I need help to understand what to do when I see the "e" in an equation. Help is appreciated. w(t)=60-30e^-.5t Where t is the time in months, find each of the following: w(0),

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I need help to understand what to do when I see the "e" in an equation. Help is appreciated. w(t)=60-30e^-.5t Where t is the time in months, find each of the following: w(0),      Log On


   



Question 820613: I need help to understand what to do when I see the "e" in an equation. Help is appreciated.
w(t)=60-30e^-.5t
Where t is the time in months, find each of the following:
w(0), w(1), w(4), and w(6)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I need help to understand what to do when I see the "e" in an equation. Help is appreciated.
----
e is the base of natural logarithms.
It's probably on your calculator, might be Shift ln.
It's a number =~ 2.718281828459045... goes on like pi.
------------
w(t)=60-30e^-.5t
Where t is the time in months, find each of the following:
w(0), w(1), w(4), and w(6)
-------
w(t)=60-30e^-.5t
For w(0), sub 0 for t
w(0)=60-30e^0
= 60 - 30*1
= 30
------
w(4)=60-30e^(-.5*4)
= 60+-+e%5E%28-2%29
=~ 60 - 0.135335
=~ 59.86466