Difference between revisions of "Math 22 Natural Exponential Functions"
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<math>\lim_{x\to 0} (1+x)^{\frac{1}{x}}=e</math> | <math>\lim_{x\to 0} (1+x)^{\frac{1}{x}}=e</math> | ||
<math>e\approx 2.71828182846</math> | <math>e\approx 2.71828182846</math> | ||
| + | |||
| + | ==Compound Interest== | ||
| + | Let <math>P</math> be the amount deposited, <math>t</math> the number of years, <math>A</math> the balance, and <math>r</math> the annual interest rate (in decimal form). | ||
| + | 1. Compounded <math>n</math> times per year: <math>A=P(1+\frac{r}{n})^{rt}</math> | ||
| + | 2. Compounded continuously: <math>A=Pe^{rt}</math> | ||
| + | |||
[[Math_22| '''Return to Topics Page''']] | [[Math_22| '''Return to Topics Page''']] | ||
'''This page were made by [[Contributors|Tri Phan]]''' | '''This page were made by [[Contributors|Tri Phan]]''' | ||
Revision as of 06:57, 11 August 2020
Limit Definition of
The irrational number is defined to be the limit:
Compound Interest
Let be the amount deposited, the number of years, the balance, and the annual interest rate (in decimal form). 1. Compounded times per year: 2. Compounded continuously:
This page were made by Tri Phan