Chapter 3

Chapter 3

1. Exponential decay

   • 0<a<1
   • Growth factor is less than one
   • never crosses the x-axis

2. Exponential growth

   • y= Ca^x
   • Never crosses the x-axis
   • a>1

3. Linear

   • Adding by a variable

4. Exponential

   • multiplying by a variable
   • fractional exponents = root problem

5. Percent Growth Example

   • F(x)= 45(1.03)^x Initial: 45 Growth or decay factor: 1.03. Rate as a %: 3%

6. Changing time period

   • later/ initial

7. Compound interest

   • A= P (1+ r/n)
   • Annually= 1 Monthly= 12 Quarterly= 4 Weekly= 52 Semi-annually= 2 Daily= 365 Hourly= 8760

8. Compounding Continuously

   • A= Pe^rt