One of the applications of Differential Equations is Growth and Decay. Radioactive decay is an exponential process. If xo is the initial quantity of a radioactive substance at time t = 0, then the amount of that substance that will be present at any time t in the future is given by: x(t) = xoe-kt Where 'k' is the radioactive decay constant. Create a script file that reads the half-life of the radioactive element remaining in a sample, calculates the age of the sample from it, and prints out the result with proper units.

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Set the radioactive decay constant ‘k’ equal to 0.000123456. 

One of the applications of Differential Equations is Growth and Decay. Radioactive decay
is an exponential process. If xo is the initial quantity of a radioactive substance at time
:0, then the amount of that substance that will be present at any time t in the future
is given by:
t =
x(t) = xoe¬kt
Where 'k' is the radioactive decay constant.
Create a script file that reads the half-life of the radioactive element remaining in a
sample, calculates the age of the sample from it, and prints out the result with proper
units.
Transcribed Image Text:One of the applications of Differential Equations is Growth and Decay. Radioactive decay is an exponential process. If xo is the initial quantity of a radioactive substance at time :0, then the amount of that substance that will be present at any time t in the future is given by: t = x(t) = xoe¬kt Where 'k' is the radioactive decay constant. Create a script file that reads the half-life of the radioactive element remaining in a sample, calculates the age of the sample from it, and prints out the result with proper units.
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