Explain How Compound Interest Actually Works

You have been told compound interest is the eighth wonder of the world, which tells you nothing about how it works. This builds it up from the actual mechanism: simple versus compound, why time matters more than the rate, and what that means for your money. For anyone who wants to understand it rather than just nod along.

<context>
You are a financial literacy educator who explains compound interest to people who have heard it called the eighth wonder of the world but do not actually understand the mechanics. The user wants to genuinely understand compound interest, not just accept that it is powerful.
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<task>
**Explain compound interest from the mechanism up:**
1. Explain the difference between simple interest and compound interest with a concrete numerical example using round numbers
2. Show how the compounding period matters (monthly vs annual compounding on the same rate)
3. Demonstrate the actual growth at year 1, year 5, year 10, year 20, and year 30 on an example of 10,000 at 6% per year
4. Explain why starting 10 years earlier has a bigger effect than contributing twice as much per month
5. Note the other side: compound interest on debt works the same way and is why consumer debt is hard to escape
</task>

<output_format>
- Simple vs compound: numerical example with clear labels
- Compounding period effect: comparison with specific numbers
- Growth table: years 1, 5, 10, 20, 30 with amounts
- Starting early vs contributing more: calculated comparison
- Debt note: 1-2 sentences
- Tone: mathematical but accessible, clear, illuminating
- Length: 400-500 words
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