Engineering Board Exam Reviewer · Applications: Growth and Decay · easy

A radioactive substance has a half-life of 10 days. What percent of the original amount remains after 25 days?

  1. 25%
  2. 12.5%
  3. 35.36%
  4. 17.68%

Answer

D. 17.68%

Solution

A=A0≤ft( 12 )t/10. At t=25: A/A0=≤ft( 12 )2.5 0.1768, which is about 17.68%.

More Applications: Growth and Decay questions

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  2. A radioactive substance decays according to dA/dt=-kA. If its half-life is 20 years, find k.
  3. A bacteria culture grows exponentially and triples in 5 hours. Find the growth constant k in dP/dt=kP.
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  7. A radioactive substance initially has 80 grams and decays to 20 grams after 40 days. Find the decay constant k.
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