If you begin with 3000 fish in a pond and 20% die off each year, yet 1000 more are added each year, how many would you end up with at the end of 10 years?
To find out how many fish you would end up with at the end of 10 years, we need to calculate the number of fish at the end of each year and keep track of the changes.
1. Start with the initial number of fish: 3000.
2. Every year, 20% of the fish die off. So, calculate 20% of the current number of fish and subtract it from the number of fish:
- Year 1: 3000 fish - (20% of 3000 fish) = 3000 - (0.20 * 3000) = 3000 - 600 = 2400 fish
- Year 2: 2400 fish - (20% of 2400 fish) = 2400 - (0.20 * 2400) = 2400 - 480 = 1920 fish
- Repeat this calculation for each subsequent year until Year 10.
3. Every year, 1000 more fish are added. So, add 1000 fish to the number of fish at the end of each year:
- Year 1: 2400 fish + 1000 fish = 3400 fish
- Year 2: 1920 fish + 1000 fish = 2920 fish
- Repeat this calculation for each subsequent year until Year 10.
4. Calculate the final number of fish at the end of 10 years using the above calculations.
Following this process, you would end up with a certain number of fish at the end of 10 years.