View Full Version : Logarithmic Word equation
millar2009S
May 20, 2009, 09:16 AM
The Amount At, micrograms of a certain radioactiv substance remaining after t years decreases according to the formula At=Aoe^-0.002t , where Ao is the amount present initially
a) If 600 micrograms are left after 1000years, how many micrograms were present initially?
b) The half-life of a substance is the time taken for the amount to decrease to half of its initial amount. What is the half-life of this substance?
:confused:
galactus
May 20, 2009, 09:56 AM
The Amount At, micrograms of a certain radioactiv substance remaining after t years decreases according to the formula At=Aoe^-0.002t , where Ao is the amount present initially
a) If 600 micrograms are left after 1000years, how many micrograms were present initially?
Set the equation equal to 600 and t=1000, then solve for A_{0}
b) The half-life of a substance is the time taken for the amount to decrease to half of its initial amount. What is the half-life of this substance?
You are given k=-.002. Half-life is given by the formula T=\frac{-1}{k}ln(2)
Just plug in k.
Libran
May 20, 2009, 09:58 AM
HaHa.. I remember doing these questions in earlier classes.
Nyways,
a) 600 = Ao*e^(-0.002*1000) Find A0
b) In 2nd part, you are given,A=A0/2, therefore A/a0 =1/2
Use in eqn. given and find t
Good luck dear. Best of luck with your exams
Libran
May 20, 2009, 10:00 AM
@galactus
Your signature line "Your Mom is so dumb that she tried to minimize a 12 variable function to a minimal sum of products expression using a Karnaugh Map instead of the Quine-McCluskey algorithm.)" made me die laughing.
HAHHAHA