1. Exponential Functions
Algebra 2
Doering

2. Exponential Functions Review
Graph:
find domain, range, horizontal asymptote
a.)
b.)

3. General Formula
a = initial amount b = growth factor x = number of changes

4. Exponential Functions Review
Write the equation that models:
a.) In 2007, the cost of medical insurance for a family was $775 per month. Since then the cost has risen 6.25% annually.
b.) What can a family expect their monthly premiums to be in 2012?

5. Compounded Interest Formula
A = current balance
p = principal
r = interest rate (decimal)
n = number of times compounded per year
t = time in years

6. Exponential Functions Review
Compound Interest:
You invest $500 in an account for 4 years that pays 4.5% annual interest. Find the balance if the interest is compounded:
a.) annually
b.) quarterly
c.) monthly
d.) daily

7. Compound Continuously
A = current balance
p = principal
e = 2.18
r = interest rate (decimal)
t = time in years

8. Exponential Functions Review
Compound Interest:
You invest $500 in an account for 4 years that pays 4.5% annual interest. Find the balance if the interest is compounded continuously.

9. Exponential Functions
A radioactive material has a half-life of 30 years. Assume that there is 256 mg of this material.
a.) Write an equations that models this situation.
b.) How long until there is less than 10 mg left.