Nicholas1998
Nicholas1998 Nicholas1998
  • 24-04-2018
  • Mathematics
contestada

Turtoneom has a half-life of 4 years. Suppose a company has 400mg of Turtoneom. How much will be left after 20 years?

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JцstinBieber
JцstinBieber JцstinBieber
  • 28-04-2018
If [tex]y(t)[/tex] is the mass (in mg) remaining after [tex]t[/tex] years, then [tex]y(t) = y(0) (0.5)^{t/T} = 400 (0.5)^{t /4}[/tex], where [tex]T[/tex] is the half-life period and [tex]y(0)[/tex] is the amount at t = 0 years (initial).

Then at t = 20:
[tex]y(20) = 400 (0.5)^{20 /4} = \text{12.5 mg} [/tex]
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