Answer :
To determine the total cost of operating a 100-watt device for 4 hours with an electricity rate of 0.10 USD per kWh, we can follow these steps:
1. Convert Power Consumption to Kilowatt-Hours:
- Power of the device: 100 watts.
- Convert watts to kilowatts: [tex]\( \frac{100 \text{ watts}}{1000} = 0.1 \text{ kilowatts} \)[/tex].
2. Calculate Energy Consumption:
- Use the device for 4 hours: [tex]\( 0.1 \text{ kilowatts} \times 4 \text{ hours} = 0.4 \text{ kilowatt-hours (kWh)} \)[/tex].
3. Calculate the Total Cost:
- Electricity cost is 0.10 USD per kWh.
- Total energy consumption is 0.4 kWh.
- Total cost: [tex]\( 0.4 \text{ kWh} \times 0.10 \text{ USD/kWh} = 0.04 \text{ USD} \)[/tex].
Thus, the total cost of running the device for 4 hours is 0.04 USD.
1. Convert Power Consumption to Kilowatt-Hours:
- Power of the device: 100 watts.
- Convert watts to kilowatts: [tex]\( \frac{100 \text{ watts}}{1000} = 0.1 \text{ kilowatts} \)[/tex].
2. Calculate Energy Consumption:
- Use the device for 4 hours: [tex]\( 0.1 \text{ kilowatts} \times 4 \text{ hours} = 0.4 \text{ kilowatt-hours (kWh)} \)[/tex].
3. Calculate the Total Cost:
- Electricity cost is 0.10 USD per kWh.
- Total energy consumption is 0.4 kWh.
- Total cost: [tex]\( 0.4 \text{ kWh} \times 0.10 \text{ USD/kWh} = 0.04 \text{ USD} \)[/tex].
Thus, the total cost of running the device for 4 hours is 0.04 USD.
