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AfilCa [17]
1 year ago
15

Can you help me with this please?

Mathematics
1 answer:
spayn [35]1 year ago
7 0

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

<h3>What is the half-life of an exponential function?</h3>

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

#SPJ1

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