SOLUTION: A sample of 600 g of radioactive lead-210 decays to polonium-210 according to the function A(t)=600e^-0.032t, where t is time in years. Find the amount of radioactive lead remainin

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: A sample of 600 g of radioactive lead-210 decays to polonium-210 according to the function A(t)=600e^-0.032t, where t is time in years. Find the amount of radioactive lead remainin      Log On


   

Question 1076018: A sample of 600 g of radioactive lead-210 decays to polonium-210 according to the function A(t)=600e^-0.032t, where t is time in years. Find the amount of radioactive lead remaining after (a)3 yr, (b)8 yr, (c)15 yr, (d)Find the half-life.

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
A%28t%29=600e%5E%28-0.032t%29

For question parts (a), (b), and (c), just do the substitutions and use a calculator.


HALF LIFE
ln%28A%29=ln%28600%2Ae%5E%28-0.032t%29%29
ln%281%2F2%29=ln%281%29%2B%28-0.032%29t%2Aln%28e%29
ln%281%2F2%29=-0.032t
0.032t=ln%282%29
highlight%28t=ln%282%29%2F0.032%29
22 years