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Hoochie [10]
2 years ago
10

The decay of 192 mg of an isotope is given by A(t)= 192e-0.015t, where t is time in years. Find the amount left after 55 years.

Round your answer to the nearest whole number.
A 83

B 84

C 42

D 189
Mathematics
1 answer:
statuscvo [17]2 years ago
6 0

Answer:

This is a typical radioactive decay problem which uses the general form:

A = A0e^(-kt)

So, in the given equation, A0 = 192 and k = 0.015. We are to find the amount of substance left after t = 55 years. That would be represented by A. The solution is as follows:

A = 192e^(-0.015*55)

A = 84 mg

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