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.

Concepts

compound interest, interest, exponential functions, exponential growth

Show More Show Less

Additional Tags

math

Show More Show Less

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

• This video is hosted on YouTube

Pros

• Provides a reminder of the formula for exponential growth
• Includes closed captioning

Cons

• None

Common Core

HSF-LE.A.4 MP4 MP6