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Draco recently purchased a new Surface Book for $2,300. The Surface Book draws
24W of electricity, and Draco leaves it on except when sleeping (approximately 16
hours per day). His current electric costs are $0.1233/kWh. Draco purchased a 4-year
replacement plan for $80 per year. What is the average yearly cost to own and
operate this computer if he intends to use it for the next 4 years?

1 Answer

4 votes

Answer:

the average yearly cost to own and operate this computer for the next 4 years is $697.27.

Explanation:

First, let's calculate the electricity cost for running the Surface Book per day:

24W * 16 hours = 384 Wh

Now, let's convert the energy used to kWh:

384 Wh / 1000 = 0.384 kWh

To find the daily cost, we multiply the energy used by the cost per kWh:

0.384 kWh * $0.1233/kWh = $0.0473/day

Over 4 years, there are approximately 1,460 days:

4 years * 365 days/year = 1,460 days

So the total electricity cost over 4 years would be:

$0.0473/day * 1,460 days = $69.08

Now, let's add the cost of the replacement plan:

$80/year * 4 years = $320

Finally, we add the initial purchase cost of the Surface Book:

$2,300

To find the average yearly cost, we add up all of these costs and divide by the number of years:

($69.08 + $320 + $2,300) / 4 years = $697.27/year

Therefore, the average yearly cost to own and operate this computer for the next 4 years is $697.27.

User Anton Ganichev
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