A hive starts with 50 bees. The number of bees increases by 5 % each day due to new bees. After 10 days, how many bees are there in the hive?
Answer
81 bees
The correct answer is 81 bees — So the hive has about 81 bees after 10 days.
Step-by-step solution
- Initial number of bees = 50.
- Daily increase factor = 1 + 5 % = 1.05.
- After 10 days: 50 × (1.05)^10.
- Compute (1.05)^10 ≈ 1.62889.
- Multiply: 50 × 1.62889 ≈ 81.44.
- Round to nearest whole number: 81 bees.
- So the hive has about 81 bees after 10 days.
Common mistake: Adding 5 % each day instead of multiplying
Concept tested: Compound population growth
Published · How this solution was prepared and checked
← All Anita and the Honeybees questions