MA19.PRE.1
Define the constant e in a variety of contexts.
COS Examples
Example: the total interest earned if a 100% annual rate is continuously compounded.
Define the constant e in a variety of contexts.
COS Examples
Example: the total interest earned if a 100% annual rate is continuously compounded.
Unpacked Content
Knowledge
- Exponential forms y=a-bx and y=A0ek-x.
- b must be nonnegative.
- A is the initial value.
- If b>1, the function models exponential growth.
- If 0
Skills
- Use natural exponential functions to describe the growth of natural phenomena.
- Use natural logarithm models to describe the time needed for the growth of natural phenomena.
Understanding
- ln(x) gives the time needed to grow x.
- Ex gives the amount of growth after the time x.
Vocabulary
- Continuous
- Explore
- Behavior
- Applications