The Dursleys' Heat Pump Stopped Working on the Hottest Day

The Dursleys' heat pump stopped working on the hottest day of the year.The old one wasn't very efficient and Mr.Dursley decided to buy an energy efficient heat pump to save on energy costs.The old heat pump used 15,000 watts of energy and his current electric costs are $0.1233/kWh.The replacement model he is considering uses 11,000 watts of energy to provide the same level of heating and cooling.Mr Dursley's research for his area of the country indicates that a heat pump is used,on average,4 hours per day.If the new heat pump costs $5,000 and he is eligible for a 15% energy tax credit in the year he has it installed,how long will it take for the energy costs to pay for the new heat pump?

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