We are asked to calculate the cost to run a 1005 W refrigerator over one-third of 30 days.
To do that we will first convert the 1005W into kW using the following conversion factor:
[tex]1kW=1000W[/tex]Multiplying by the conversion factor we get:
[tex]1005W\times\frac{1kW}{1000W}=1.005kW[/tex]Now, we multiply the kW by the number of hours. Since the refrigerator operates one-third of the time during a 30 days period, this means that the time of operation is 10 days. We convert days into hours using the following conversion factor:
[tex]24h=1day[/tex]Multiplying by the conversion factor we get:
[tex]10days\times\frac{24h}{1day}=240h[/tex]Multiplying by the power we get:
[tex]E=(1.005kW)(240h)=241.2kWh[/tex]Now, to determine the cost we multiply by the cost per kWh:
[tex]C=(241.2kWh)(0.19\frac{dollars}{kWh})=45.83[/tex]Therefore, the cost is $45.83