Question
A machine can lift a weight of 10 kg on the first day. The weight it can lift increases by 20 percent each day. How much weight can the machine lift on the fifth day? Round your answer to two decimal places. (1 point)
The machine can lift
kg.
The machine can lift
kg.
Answers
GPT-4o mini
To find out how much weight the machine can lift on the fifth day, we need to calculate the weight for each day based on the 20% increase.
1. **First Day:**
Weight = 10 kg
2. **Second Day:**
Weight = 10 kg + (20% of 10 kg)
Weight = 10 kg + 0.2 * 10 kg = 10 kg + 2 kg = 12 kg
3. **Third Day:**
Weight = 12 kg + (20% of 12 kg)
Weight = 12 kg + 0.2 * 12 kg = 12 kg + 2.4 kg = 14.4 kg
4. **Fourth Day:**
Weight = 14.4 kg + (20% of 14.4 kg)
Weight = 14.4 kg + 0.2 * 14.4 kg = 14.4 kg + 2.88 kg = 17.28 kg
5. **Fifth Day:**
Weight = 17.28 kg + (20% of 17.28 kg)
Weight = 17.28 kg + 0.2 * 17.28 kg = 17.28 kg + 3.456 kg = 20.736 kg
Finally, rounding the weight to two decimal places, we get:
**The machine can lift approximately 20.74 kg on the fifth day.**
1. **First Day:**
Weight = 10 kg
2. **Second Day:**
Weight = 10 kg + (20% of 10 kg)
Weight = 10 kg + 0.2 * 10 kg = 10 kg + 2 kg = 12 kg
3. **Third Day:**
Weight = 12 kg + (20% of 12 kg)
Weight = 12 kg + 0.2 * 12 kg = 12 kg + 2.4 kg = 14.4 kg
4. **Fourth Day:**
Weight = 14.4 kg + (20% of 14.4 kg)
Weight = 14.4 kg + 0.2 * 14.4 kg = 14.4 kg + 2.88 kg = 17.28 kg
5. **Fifth Day:**
Weight = 17.28 kg + (20% of 17.28 kg)
Weight = 17.28 kg + 0.2 * 17.28 kg = 17.28 kg + 3.456 kg = 20.736 kg
Finally, rounding the weight to two decimal places, we get:
**The machine can lift approximately 20.74 kg on the fifth day.**