A radioactive element decays according to a continuous exponential decay model...

Question

The half-life of the element is 570 years. If 75 grams is present now, how much will be present in 355 years? (Round your answer to three decimal places.)

Answer 1

If we start with C, H is the half life and t is the time, then amount at time t will be

A (t) = C (0.5)^t/H

So t = 355, C = 75, H = 570. You can calculate A.