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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.

A Certain Radioactive Material Decays At A Rate That Is Governed By The Function M Moeki Where M Is Measured In Grams And 1 Is Measured In Years If K 0006 How M class=

Answer :

Answer:

[tex]1800 = 8000 {e}^{ - 0.006t} \\ \frac{18}{80} = {e}^{ - 0.006t} \\ \\ - 1.4916 = - 0.006t \\ \\ t = 248.609[/tex]