TOPIC
MY PROGRESS
Pug Score
0%
Getting Started
"Let's build your foundation!"
Best Streak
0 in a row
Study Points
+0
Overview
Practice
Watch
Quiz
Next Steps
Get Started
Get unlimited access to all videos, practice problems, and study tools.
Unlimited practice
Full videos
BACK TO MENU
Topic Progress
Pug Score
0%
Getting Started
"Let's build your foundation!"
Videos Watched
0/0
Best Practice
No score
Best Quiz
No attempts
Best Streak
0 in a row
Study Points
+0
Overview
Practice
Watch
Quiz
Next Steps
Overview
Transition Year Maths
10. Exponential Growth and Decay
10.4 Continuous growth and decay
Continuous growth and decay
What You'll Learn
Apply the continuous compounding formula A = Pe^(rt) to solve growth and decay problems
Recognize when to use the constant e for continuously compounding interest calculations
Calculate final amounts using continuous growth with given principal, rate, and time
Determine decay rates using natural logarithms and half-life information
Solve exponential equations with e by applying natural log (ln) to both sides
What You'll Practice
1
Computing account balances with continuous compound interest over many years
2
Finding decay rates of radioactive substances given half-life
3
Using natural logarithms to solve for variables in exponents with base e
4
Interpreting continuous growth and decay in real-world contexts
Why This Matters
Continuous growth and decay models are essential for understanding real-world phenomena like compound interest, population growth, and radioactive decay. This formula appears throughout advanced math, physics, chemistry, and finance, making it crucial for STEM careers and higher-level coursework.
Before You Start — Make Sure You Can:
This Unit Includes
2 Video lessons
Practice exercises
Skills
Exponential Growth
Exponential Decay
Continuous Compounding
Natural Logarithm
Half-Life
Euler's Number
Interest Rate Calculations
