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The half-life of a certain radioactive material is 83 hours. An initial amount of the material has a mass of 67 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 5 hours. Round the answer to the nearest thousandth.​

Respuesta :

mhanifa

Answer:

  • Initial amount of the material is 67 kg
  • Hal-life is 83 hours

The required equation is:

  • m(x) = 67 * [tex](1/2)^{x/83}[/tex], where m- remaining amount of the radioactive material, x - number of hours

After 5 hours the material remains:

  • m(5) = 67 * [tex](1/2)^{5/83}[/tex] = 64.260 (rounded)

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