7.2

Find the doubling time

  1. A bank account growing at 2.7% per year
  2. A population growting according to \(P=P_0e^{(0.2t)}\)
  3. The population of a city is growing by 26% per year

Find the half-life of the substances

  1. Tritium, which decays at an annual rate of 5.471% per year
  2. A radioacive substance that decays at a continous rate of 11% per minute
  3. If 17% of a radioactive substance decays in 5 hours, how long will it take until only 10% of a given sample of the substance remains?

Converting annual to continous

  1. Find the annual growth rate and continous growth rate (assuming exponential growth): A population doubles in size every 15 years
  2. What annual interest rate, compounded continuously, is equivalent to an annual rate of 8%, compounded annually?
  3. What annual interest rate, compounded annually, is equivalent to an annual rate of 6%, compounded continuously?