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Exponential growth and decay by a factor
- Lesson: 19:41
Exponential growth and decay by a factor
The growth/decay factor "(1+r)" dictates the rate of exponential growth and decay. We will work on questions related to growth/decay factor in this lesson.
Related Concepts: Derivative of inverse trigonometric functions, Derivative of logarithmic functions
Lessons
exponential growth/decay: Af=Ai(f)periodtime
Af: final amount
Ai: initial amount
f : growth/decay factor
half-time→f=21
triple→f=3
ten-fold→f=10
increase by 10%→f=(1+10010)=1.1
decrease by 8%→f=(1−1008)=0.92
time : total time given
period : every length of time
Af: final amount
Ai: initial amount
f : growth/decay factor
half-time→f=21
triple→f=3
ten-fold→f=10
increase by 10%→f=(1+10010)=1.1
decrease by 8%→f=(1−1008)=0.92
time : total time given
period : every length of time
- 1.triple growth
A certain type of bug can triple its population every 10 years.
How many bugs will there be in 50 weeks if there are 76 bugs today?
Do better in math today
29.
Logarithms and Exponential Functions
29.1
What is a logarithm?
29.2
Evaluating logarithms without a calculator
29.3
Product rule of logarithms
29.4
Quotient rule of logarithms
29.5
Combining product rule and quotient rule in logarithms
29.6
Solving logarithmic equations
29.7
Evaluating logarithms using change-of-base formula
29.8
Exponential growth and decay by a factor
29.9
Exponential decay: Half-life
29.10
Natural log: ln