SOLUTION: A certain radioactive substance decays according to the formula m(t) = 70e^−0.062t, where m represents the mass in grams that remains after t years. (a) Find the initial

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: A certain radioactive substance decays according to the formula m(t) = 70e^−0.062t, where m represents the mass in grams that remains after t years. (a) Find the initial      Log On


   



Question 771260: A certain radioactive substance decays according to the
formula m(t) = 70e^−0.062t, where m represents the mass
in grams that remains after t years.
(a) Find the initial mass of the substance.
(b) What percent of mass remains after 15 years?
I will really appreciate your help... Thank you!

Answer by oscargut(2103) About Me  (Show Source):
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A certain radioactive substance decays according to the
formula m(t) = 70e^−0.062t, where m represents the mass
in grams that remains after t years.
(a) Find the initial mass of the substance.
(b) What percent of mass remains after 15 years?
I will really appreciate your help... Thank you!
Answers:

a) m(0)= 70
Answer: 70
b) m(15)=70e^−0.062(15) = 70(0.395)
Answer: 39.5 %
You can ask me more at: mthman@gmail.com
Thanks