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  times per year: 
 2. Compounded continuously: 

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