SOLUTION: Certain radioactive material decays in such a way that the mass remaining after t years is given by the function m(t)=280e^−0.015t where m(t) is measured in grams. Do not include

Algebra ->  Equations -> SOLUTION: Certain radioactive material decays in such a way that the mass remaining after t years is given by the function m(t)=280e^−0.015t where m(t) is measured in grams. Do not include      Log On


   

Question 1140422: Certain radioactive material decays in such a way that the mass remaining after t years is given by the function m(t)=280e^−0.015t where m(t) is measured in grams. Do not include units in your answers.
(a) Find the mass at time t=0
(b) How much of the mass remains after 35 years?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
cross%28m%28t%29=280e%5E-0.015t%29
m%28t%29=280e%5E%28-0.015t%29
-

-------------------------------------
(a) Find the mass at time t=0
-------------------------------------

280, found by inspection and understanding the equation


--------------------------------------------------
(b) How much of the mass remains after 35 years?
---------------------------------------------------

m%2835%29=280%2Ae%5E%28-0.015%2A35%29
evaluate.