Half-life and Compound Interest

  1. \rhd  Constructing exponential models: half-life (4:18)
    • Carbon-14 is an element which loses exactly half of its mass every 5730 years. The mass of a sample of carbon-14 can be modeled by a function M, which depends on its age, t (in years). We measure that the initial mass of  a sample of carbon-14 is 741 grams. Write a function that models the mass of the carbon-14 sample remaining t years since the initial measurement.
  2. \rhd Introduction to compound interest (6:37) An example illustrating compound interest.
  3. \rhd e and compound interest (11:37) The constant e through compound interest.
  4. \rhd Continuous compounding (8:58) A formula for continuously compounding interest.