Respuesta :
Answer:
2 cent
Step-by-step explanation:
Given:
A certain amplifier requires 200 watts when it is being used.
Cost of 1 kilowatt per hour = 0.11
Question asked:
How much would it cost to run for 55 minutes ?
Solution:
First of all we will convert 200 watts into kilowatt then we will find cost of 200 watt per hour by using unitary method.
As we know:
1 kilowatt = 1000 watts
1000 watts = 1 kilowatt
1 watts = [tex]\frac{1}{1000}[/tex]
200 watts = [tex]\frac{1}{1000}\times200=\frac{1}{5} \ kilowatt[/tex]
Cost of 1 kilowatt per hour = 0.11 (given)
Cost of [tex]\frac{1}{5}[/tex] kilowatt per hour = [tex]0.11\times\frac{1}{5} =0.022[/tex]
Cost of [tex]\frac{1}{5}[/tex] kilowatt in 60 minutes = 0.022
Cost of [tex]\frac{1}{5}[/tex] kilowatt in 1 minute = [tex]\frac{0.022}{60}[/tex]
Cost of [tex]\frac{1}{5}[/tex] kilowatt in 55 minutes = [tex]\frac{0.022}{60}\times55=\frac{1.21}{60} =0.0201[/tex]
Now, to convert it into cent, we will multiply this by 100, hence we get:
[tex]0.0201\times100=2.01[/tex]
Therefore, it would be cost 2 cent to be used 200 watts from amplifier.
The cost of running the 200 watts amplifier for 55 minutes at a cost of $ 0.11 per KWh is 2 cent
How to determine the energy
- Power (P) = 200 watts = 200 / 1000 = 0.2 KW
- Time (t) = 55 mins = 55 / 60 = 0.917 h
- Energy (E) =?
E = Pt
E = 0.2 × 0.917
E = 0.1834 KWh
How to determine the cost
- Cost per KWh = $ 0.11
- Energy (E) = 0.1834 KWh
- Cost =?
Cost = energy × Cost per KWh
Cost = 0.1834 × 0.11
Cost = $ 0.02
Multiply by 100 to express in cent
Cost = 0.02 × 100
Cost = 2 cent
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