Understanding Exponential Growth
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Beginner
Start here! Easy to understand
Beginner Explanation
Simple explanation: Exponential growth increases by a fixed percentage each period. In $y = C (1 + r)^t$, you start with $C$ and multiply by $1 + r$ for each time unit $t$.
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Practice Problems
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1
Quick Quiz
Single Choice Quiz
Beginner
What is the value of $y$ after 2 years if $y = 1000(1.1)^t$?
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2
Real-World Problem
Question Exercise
Intermediate
Teenager Scenario
A bank account with $\$500$ earns 4% interest annually. How much is in the account after 3 years?
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
If a population doubles every 5 years, how many times will it double in 20 years?
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4
Challenge Quiz
Single Choice Quiz
Advanced
Given $y = 2000 \cdot 1.03^t$, what is $y$ after $t = 10$?
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Recap
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