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) = 350e-0.169t, where t is the time in years? round your answer to the nearest hundredth year.

4.101 yrs

Step-by-step explanation:

Given that a sample of radioactive substance to decay has the following exponential function.

where t= no of years lapsed

When t=0 i.e. initially we have population as

When it becomes half we have

=

Taking log to base e we have

In approximately 4.101 years the population decays to half

h/o/e/s mad

step-by-step explanation:

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