Answer:
4.101 yrs
Step-by-step explanation:
Given that a sample of radioactive substance to decay has the following exponential function.
[tex]A(t)=350e^{-0.169t} [/tex]
where t= no of years lapsed
When t=0 i.e. initially we have population as
[tex]A(0) = 350[/tex]
When it becomes half we have
=[tex]A(t) = 175 = 350e^{-0.169t}\\0.5= e^{-0.169t}\\[/tex]
Taking log to base e we have
[tex]-0.169t = ln (0.5) \\t=4.101[/tex]
In approximately 4.101 years the population decays to half
