Question

Can you help me with this please?

Answer 1

The half-life of the given exponential function is of 346.57 years.

What is the half-life of an exponential function?

It is the value of t when A(t) = 0.5A(0).

In this problem, the equation is:

$A(t) = A(0)e^{-0.002t}$.

In which t is measured in years.

Hence the half-life is found as follows:

$0.5A(0) = A(0)e^{-0.002t}$

$e^{-0.002t} = 0.5$

$\ln{e^{-0.002t}} = \ln{0.5}$

$0.002t = -\ln{0.5}$

$t = -\frac{\ln{0.5}}{0.002}$

t = 346.57 years.

More can be learned about exponential functions at brainly.com/question/25537936

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