Asked by Josh
Exponential Growth and Decay
Find the half-life of a radioactive substance that decays by 5% in 9 years.
Find the half-life of a radioactive substance that decays by 5% in 9 years.
Answers
Answered by
Damon
x = xi e^-kt
.95 = e^-9 k
ln .95 = -9k
k = .005699
.5 = e^-.005699 t
ln .5 = - .005699 t
t = 121.6 years
.95 = e^-9 k
ln .95 = -9k
k = .005699
.5 = e^-.005699 t
ln .5 = - .005699 t
t = 121.6 years
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