Question

A certain radioactive material decays at a rate that is governed by the function M = Moe-ki,
where M is measured in grams and 1 is measured in years. If k = 0.006, how many years would it
take for an 8,000 gram sample to decrease to 1,800 grams? Round your answer to the nearest
hundredth.

Answer 1

Answer:

$1800 = 8000 {e}^{ - 0.006t} \\ \frac{18}{80} = {e}^{ - 0.006t} \\ \\ - 1.4916 = - 0.006t \\ \\ t = 248.609$