SOLUTION: Solve the problem. The half-life of silicon-32 is 710 years. If 100 grams is present now, how much will be present in 600 years? (Round your answer to three decimal places.)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve the problem. The half-life of silicon-32 is 710 years. If 100 grams is present now, how much will be present in 600 years? (Round your answer to three decimal places.)       Log On


   

Question 617985: Solve the problem.
The half-life of silicon-32 is 710 years. If 100 grams is present now, how much will be present in 600 years? (Round your answer to three decimal places.)
Answer by nerdybill(7384) About Me  (Show Source):
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The half-life of silicon-32 is 710 years. If 100 grams is present now, how much will be present in 600 years? (Round your answer to three decimal places.)
.
general equation of exponential decay/growth:
N = Noe^(kt)
50 = 100e^(710k)
.5 = e^(710k)
ln(.5) = 710k
ln(.5)/710 = k
.
Therefore, our equation is now:
N = 100e^((ln(.5)/710)t)
Now,we substitute t with 600:
N = 100e^((ln(.5)/710)600)
N = 100e^(-.585758)
N = 100(.556684)
N = 55.668 grams