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//// Educational · Math

Exponential Growth Visualizer

Why compound interest is called the 8th wonder of the world. And why pandemics spread fast. Same math — see it in action.

401(k) Limit 2024$23,000
Roth IRA Limit$7,000
S&P 500 Avg Return~10%/yr

⚡ Pick a Scenario

Savings: starts at 1.0K, grows 7% per year for 30 years.

🎛️ Adjust Parameters

Starting value1.0K
Growth rate (%)7%
Time periods30
Final value (exp)
7.6K
vs linear: 3.1K
Growth multiple
7.6×
total multiplier
Doubling time
10.0
Rule of 70 periods

📊 Exponential vs Linear

t=0
1.0K
t=3
1.2K
t=6
1.5K
t=9
1.8K
t=12
2.3K
t=15
2.8K
t=18
3.4K
t=21
4.1K
t=24
5.1K
t=27
6.2K
Exponential Linear
1

Formula

y = a × (1 + r)^t

= start = 1.0K, r = 7%

2

Period 1

1.0K × (1 + 0.07)^1

= 1.1K

3

Period 15 (halfway)

1.0K × (1 + 0.07)^15

= 2.8K

4

Period 30 (final)

1.0K × (1 + 0.07)^30

= 7.6K

5

Rule of 70 (doubling time)

70 ÷ 7%

= 10.0 periods

#ShowYourWork

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