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 07:57, 11 August 2020
Limit Definition of
The irrational number is defined to be the limit:
Compound Interest
Let be the amount deposited, 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 t}
the number of years, 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}
the balance,
and 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 r}
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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