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12 milligrams of radioactive material decays exponentially. It takes 120 years for the amount of radioactive material in the sample to drop down to 8

12 milligrams of radioactive material decays exponentially. It takes 120 years for the amount of radioactive material in the sample to drop down to 8 milligrams.

  1. show a formula that models the amount of radioactive material left after t years. Round the decay rate to 6 decimals.
  2. How much radioactive material will be left after 200 years? Round your answer to 2 decimals.
  3. How log it will take the material to decay to 4 milligrams? Round the answer to 2 decimals.
  4. What is the half-life of this sample?

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