Graph transformations of Exponential Functions: Use parent functions to describe the transformations. Find growth/decay,domain,range,intercepts,and end-behaviors.
Financial Literacy Example: $2000 is being invested. The account has a 5% interest rate. If it isn't touched, what will the balance be in 18 years if the interest compounded quarterly?
A=2,000(1+.05/4)^(4)(18)
2,000(1.0125)^72
=$4,910.02
A=2,000(1+.05/4)^(4)(18)
2,000(1.0125)^72
=$4,910.02
Example: An account will pay 5% interest and will compound continuously on her $2,000 investment for 18 years.
A=2,000e^(.05)(18)
=$4,919.20
A=2,000e^(.05)(18)
=$4,919.20
Exponential Growth/Decay Example: Population is declining at a rate of 2.6% annually. The population is 11,000,000. If the population continues to decline continuously, what would the population be in 15 years?
N=11,000,000(1-.026)^15
=7,409,298
N=11,000,000e^.026(15)
=7,447,626
N=11,000,000(1-.026)^15
=7,409,298
N=11,000,000e^.026(15)
=7,447,626