SOLUTION: The half life of a radioactive isotope is 394 days. A sample of this isotope is 10 grams. a. Find the model, A=Aoe^kt, that describes the decay of this sample. b. How long will

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The half life of a radioactive isotope is 394 days. A sample of this isotope is 10 grams. a. Find the model, A=Aoe^kt, that describes the decay of this sample. b. How long will      Log On


   



Question 866024: The half life of a radioactive isotope is 394 days. A sample of this isotope is 10 grams.
a. Find the model, A=Aoe^kt, that describes the decay of this sample.
b. How long will it take the sample to be 3.5 grams?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
The half life of a radioactive isotope is 394 days. k = ln(.5)/-394 = .0018
A sample of this isotope is 10 grams. A = 10e^(-.0018t)
b.+3.5+=+10e%5E%28-.0018t%29, t = ln(.35)/(-.0018)