if your computer uses 2.5A at 120V, how much will it cost to use the computer for 4 hours a day, seven days a week for two weeks? assume that the cost of electricity is $0.09 for every kWh*h of energy.
i solved it like this way could you check of i got it right plzzz??
(C= E* Charge)
to find energy E= P*t
to find power P=V*I
P=120V*2.5A=300W
NOW BACK TO FIND ENERGY
E=300W*56h(cuz 4*14)=16800W*h=16.8kW*h
C=16.8kW*h * 0,09=$1.512
therefore, it will cost $1.512
is this right??
Yes, your answer is correct.
Yes, your calculations are correct.
To find the power consumed by the computer, you correctly calculated P = V * I, where V is the voltage (120V) and I is the current (2.5A), giving you a power consumption of 300W.
Then, to find the energy consumed by the computer over the two-week period, you multiplied the power (300W) by the total time (56 hours), which equals 16800Wh or 16.8kWh.
Finally, to calculate the cost of using the computer, you multiplied the energy (16.8kWh) by the cost per kWh (0.09 dollars/kWh), which gives you a total cost of $1.512.
Therefore, your answer of $1.512 is correct.
Yes, your calculations are correct. Here's the step-by-step breakdown of your solution:
1. Find the power (P) consumed by the computer: P = V * I.
- V is the voltage (120V) and I is the current (2.5A).
- P = 120V * 2.5A = 300W.
2. Calculate the energy (E) consumed by the computer in a two-week period:
- The computer is used for 4 hours a day, seven days a week, for two weeks.
- Total hours = 4 hours/day * 7 days/week * 2 weeks = 56 hours.
- E = P * t = 300W * 56h = 16800Wh = 16.8kWh.
3. Calculate the cost (C) of the energy consumed:
- The cost of electricity is $0.09 per kWh.
- C = E * cost per kWh = 16.8kWh * $0.09/kWh = $1.512.
So, your final result is correct. It will cost $1.512 to use the computer under the given conditions for a two-week period.