Instructional Video

Continuous Compounding Interest

My great-great-great-grandfather would owe how much? The resource provides a scenario of finding the amount due on a library fine compounded continuously one hundred years later. The presenter substitutes values into the exponential growth formula to calculate the amount owed in the 30th video in a series of 31 calculus videos.

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CCSS: Adaptable
Additional Tags
Instructional Ideas
  • Compare the amount owed if the interest was compounded bi-annually, quarterly, annually, and daily with the continuous compounding
  • Create problems to solve for either the rate or time
Classroom Considerations
  • Individuals should know how to evaluate an exponential function using calculators
Pros
  • Provides a reminder of the formula for exponential growth
  • Includes closed captioning
Cons
  • None
Common Core