# For an annual rate of change of –31%, how do you find the corresponding growth or decay factor?

Let's say I start with $100. Then after one year, I will have lost$31 and therefore will have $100 -$31 = $69 left. This means that I get to keep 69% of my initial money. To figure out how much money I will have the following year, we can imagine each of my dollars. I therefore get to keep 69 cents from every dollar. So I have 69 *69¢ =$47.61.