The decay of 277 mg of an isotope is described by the function A(t)= 277e-0.019t, where t is time in years. Find the amount left

Question

Liono4ka [1.6K]

3 years ago

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The decay of 277 mg of an isotope is described by the function A(t)= 277e-0.019t, where t is time in years. Find the amount left

after 64 years. Round your answer to the nearest mg.

Mathematics

1 answer:

UNO [17] · Answer 1 · 2022-07-10T04:54:57+03:00

<span>The decay of 277 mg of an isotope is described by the function
A(t)= 277e-0.019t,
where t is time in years.
To find the amount left after 64 years,

We substitute t = 64 in the expression.
</span>A(t=64)= 277e-0.019(64)
or A(t=64) = 277 * e-1.216
= 277 * 0.29
= 82 mg