Mathematics: If the decay of 742 mg of an isotope is described by the function a(t)= 742e-0.03t, where t is time in years. find the amount left after 84 years. round your answer to the nearest mg.

The answer is 32cm. 45-13=32...

If the decay of 742 mg of an isotope is described

Aysha1311

12.03.2022

The amount left after 84 years is 59.70 mg.

Step-by-step explanation:

Given : If the decay of 742 mg of an isotope is described by the function $A(t)= 742e^{-0.03t}$ , where t is time in years.

To find : The amount left after 84 years?

Solution :

The function of decay of 742 mg of an isotope is given by,

$A(t)= 742e^{-0.03t}$

We have to find the amount left after 84 years.

i.e. put t=84 in the given function,

$A(84)= 742e^{-0.03\times 84}$

$A(84)= 742e^{-2.52}$

A(84)= 59.701

Therefore, The amount left after 84 years is 59.70 mg.

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