Transcript 10.6 Applications of Logarithmsx

10.6
PROBLEM SOLVING:
EXPONENTIAL
GROWTH & DECAY
Learning Goal:
Learn to use exponential and logarithmic functions to solve
growth and decay problems
GROWTH/DECAY FORMULA
N  N o 1  r 
t
EX 1
A baseball card increased in value from $50 to $500 in 15
years. Find it’s average annual rate of appreciation.
COMPOUND INTEREST FORMULA
 r
A  P 1  
 n
nt
EX 2
How long will it take an investment of $1000 to triple in value if
it is invested at an annual rate of 12% compounded quarterly?
DOUBLING-TIME GROWTH FORMULA
N  No  2
t
d
EX 3
A certain bacteria population doubles in size every 12 hours.
By how much will it grow in 2 days?
HALF-LIFE DECAY FORMULA
1
N  No   
2
t
d
EX 4
The half-life of carbon-14 (C-14) is 5730 years. How much of a
10.0 mg sample will remain after 4500 years?