Question

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. Show all of your work for full credit. ​

Answer 1

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.

A(t=64)= 277e-0.019(64)

or A(t=64) = 277 * e-1.216

                = 277 * 0.29

                = 82 mg