Difference between revisions of "Math 22 Natural Exponential Functions"
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==Compound Interest== | ==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). | + | 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> | 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> | 2. Compounded continuously: <math>A=Pe^{rt}</math> | ||
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 Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n} times per year: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A=P(1+\frac{r}{n})^{rt}} 2. Compounded continuously: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A=Pe^{rt}}
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