Two part questions, Please break it down into very clear steps. thank you 1.A ty

Question

Two part questions, Please break it down into very clear steps. thank you

1.A typical family utilizes about 15 kWh of electricity per day providing they are not heating water with an electric hot water heater or running air conditioners. Assume the home as a 5kW solar-panel system but it does not face excatly in the south direction. In a particular month, 20% of the days were rainy and overcast producing only 2kWh per day, 35% of the days were cloudy with breaks in the clouds producing 10kWh per day, and 45% of the days were fully sunny producing 20kWh per day. Calculate what precentage the consumed electricity was provided by the solar system.

2.A 5kW solar system requires approximately 24 solar panels and typically two inverters and costs about $38000. Appy the state rebate mentioned earlier, then the federal tax credit on the remainder to calculate the actual cost to the home owner. Compare your result with the approximate cost of a new car.

Explanation / Answer

If they use 15kWh a day, then this is (15*365) = 5474 kWh per year.

Now, find the number of kWh generated for each day of the year:

We know that 20% of the year it generates 2kWh, which is 73 days, so do 73*2 = 146kWh.
We know that 35% of the year it generates 10kWh, which is 127.75 days, so do 127.75*10 = 1277.5kWh.
We know that 45% of the year it generates 20kWh, which is 164.25 days, so do 164.25*20 = 3285kWh.

Now, add up all the energy it has generated, and get (146+1277.5+3285) = 4708.5kWh.

Divide this by the total (5474), and you get:

86%.

I did it for the whole year because I don't know how many days are in this 'particular month' so I just did it for 365 days

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