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A typical discounted price of a AAA battery is $0.75. It is designed to provide 1.5 volts and 1.0 amps for about an hour. Now we multiply volts and amps to obtain power of 1.5 watts from the battery. Thus, it costs $0.75 for 1.5 Watt-hours of energy. How much would it cost to deliver one kilo Watt-hour? How does this compare with the cost of energy from your local electric utility at $0.10 per kilo Watt-hour?

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Explanation:

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The Cost of 1 kilowatt hour of energy at the rate of $0.75 per 1.5 watt hour is $500 which is 5000 times greater than the cost of energy at $0.10 per kilowatt hour.

Battery power = Current × Voltage

Cost of 1.5 Watt-hour = $0.75

Converting Energy to Watt - hour :

1 kilowatt = 1000 watt

1 kilowatt hour = 1000 watt - hour

Hence,

Cost of 1 kilowatt - hour = 1000 watt - hour can be calculated thus :

1.5 Watt-hour = $0.75

1000 Watt-hour = c

Cross multiply :

1.5c = $0.75 × 1000

1.5c = 750

c = 750 / 1.5

c = 500

Therefore, cost of 1 kilowatt - hour of energy will be $500

Comparing the cost of Energy at $500 per Kilo-Watt hour to Cost at $0.10:

$500 / $0.10 = 5000

Therefore, the cost of energy at $500 per kilowatt hour is 5000 times greater than cost at $0.10 per kilowatt hour.

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