SOLUTION: how long will it take a sample of radioactive substance to decay to half of its original amount if it decays according to the function a(t) = 200e^-.144(t) Where t is the time in y

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Question 1006816: how long will it take a sample of radioactive substance to decay to half of its original amount if it decays according to the function a(t) = 200e^-.144(t) Where t is the time in years? Round your answer to the nearest hundredth year.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Show the function this way:
a%28t%29=200e%5E%28-.144%28t%29%29



To find half-life:
1%2Ae%5E%28-0.144t%29=%281%2F2%29
Take natural log of both sides and solve for t.