Disclaimer: The material in the videos below comes mainly from outside City Tech. The presentation in these videos may differ from the one given in your class. Please consult with your instructor to confirm whether a particular approach is acceptable in your class.
- $\rhd$ 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.
- $\rhd$ Introduction to compound interest (6:37) An example illustrating compound interest.
- $\rhd$ $e$ and compound interest (11:37) The constant $e$ through compound interest.
- $\rhd$ Continuous compounding (8:58) A formula for continuously compounding interest.
