Chapter 3

Chapter 3

1. A.3 A.4

   • 3^5= 3x3x3x3x3
   • Product Rule- Add
     • Quotient Rule- Subtract
       • Power Rule- Multiply

2. 3.1

   • Ca^x
     • C- initial
       • a- growth/decay factor
         • x- time period
     • 45(1.03)^x
       • Initial Val.=45
         • Growth Factor= 1.03
           • Rate as dec.=.03
             • Rate as %=3%
   • Later/Initial= factor

3. 3.2

   • Changing the time period
     • use fraction= smaller time period
       • use exponent= bigger time period
   • half life
     • .5 or 1/2=a
   • A=P(1+r/n)^nt
     • A= amount
       • P=Initial
         • r=Rate
           • n= number
             • t= time
     • compounding
   • A=Pe^rt
     • compounding continuously
   • (1+r/n)^n-1
     • annual percentage rate

4. 3.3

   • linear vs. exponential