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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?
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13.
Applications of Exponential and Logarithmic Functions
13.1
Exponential growth and decay by a factor
13.2
Exponential decay: Half-life
13.3
Exponential growth and decay by percentage
13.4
Finance: Compound interest
13.5
Continuous growth and decay
13.6
Logarithmic scale: Richter scale (earthquake)
13.7
Logarithmic scale: pH scale
13.8
Logarithmic scale: dB scale
13.9
Finance: Future value and present value
Don't just watch, practice makes perfect.
Exponential growth and decay by a factor
Don't just watch, practice makes perfect.
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Get Started NowPractice topics for Applications of Exponential and Logarithmic Functions
13.1
Exponential growth and decay by a factor
13.2
Exponential decay: Half-life
13.3
Exponential growth and decay by percentage
13.4
Finance: Compound interest
13.5
Continuous growth and decay
13.6
Logarithmic scale: Richter scale (earthquake)
13.7
Logarithmic scale: pH scale
13.8
Logarithmic scale: dB scale
13.9
Finance: Future value and present value