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babymother [125]
2 years ago
15

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 exp

onential function that models the decay of this material. Find how much radioactive material remains after 5 hours. Round the answer to the nearest thousandth.​
Mathematics
1 answer:
Anvisha [2.4K]2 years ago
4 0

Answer:

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

<u>The required equation is:</u>

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

<u>After 5 hours the material remains:</u>

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