# Describe Compounding

Compounding and exponential growth are different ways to express similar ideas: things can grow quickly!

If you look on graphs of exponential growth they are frequently described as "hockey sticks." They are fairly flat and then shoot up at the end.

## 1. If algae is doubling every day and completely fills a lake in 30 days on which day will the lake be half full?

It will be half full on the 29th day!

## 2. Investing in yourself will compound your abilities

Thanks to @randomroger for this one! Very true. The more you do, the more you can do.

## 3. Minimum payments: If you pay less than your interest you will never get out of debt!

https://www.bankrate.com/finance/credit-cards/minimum-payment-calculator/

## 4. Saving in a 401k: $4000 per year with employer match becomes $756,000 after 35 years! That is $140,000 pre-tax dollars going in.

## 5. Cats: one pair of cats can theoretically generate 634 cats after 4 years and after 10 years there can be over 3.5 million cats!

https://owlcation.com/stem/Cat-Mathematics-The-Cats-Meow-Population-Growth-Cat-Geometry

## 6. Nuclear explosions

## 7. Pandemics

Infections can grow exponentially, as the world found out:

## 8. Combining technologies 1+1=3

This is more about compounding than exponents. For example, when you take advancement in materials, batteries, miniaturization, computer networks and processing speed you get "smart phones." I wonder how much longer we will call these devices "phones!"

## 9. Moore's Law:

The number of transistors in an integrated circuit has been doubling every 18 months since 1965.

## 10. Compound Bow

These machines have a system of cams to manage the bow tension. They can launch arrows at astonishing speeds and have reduced holding weights. It is much easier to hold these bows still than a traditional bow:

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