Two Math Equations I Love

Here are my two favorite math equations:

1.01365 = 37.8    :-  This equation shows how a small change of just one percent every day over a year (365 days) can lead to a significant improvement. It means that if we make something one percent better each day for a year, it becomes about 37 times better by the end of the year.

0.99365 = 0.03     :- Conversely, this equation illustrates that if we make something one percent worse every day for a year, it becomes about 97% worse by the end of the year.




These equations highlight the power of small daily improvements over time. We often see this concept applied in finances with compounding interest, but it's also applicable to other aspects of life like organizations, relationships, and personal skills.

Explanation of the Math:
- Let's use the example of becoming better at basketball every day for a year.
- Start with a score of 1, representing your current ability.
- Each day, aim to improve by 1% (0.01).
- After 365 days, you'll be approximately 37 times better at basketball.

Math Breakdown:
- On the first day, you're 1% better, so you become 1.01.
- On the second day, being 1.01, you improve by another 1%, becoming 1.0201.
- After repeating this process for 365 days, you end up being approximately 37 times better at basketball.

This is expressed as 1.01 to the power of 365, which equals 1.01365.

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