Question

Ellen purchased a dishwasher, which cost $315 before the 9. 22% sales tax. She used the machine an average of 10 times per week for the next six years, at which point she replaced it. Each time she ran the dishwasher it cost her $0. 09 for water and $0. 13 for electricity. What was the lifetime cost of Ellen's dishwasher? a. $1,030. 44 b. $686. 40 c. $1,093. 73 d. $749. 69.

Answer 1

Cost is the amount of spending on a product or service. The lifetime cost of the dishwasher was $1029.8 which is $1030 approximately.

What is the cost?

Cost is the amount incurred on acquiring a product or using a service. Cost is the value of the product or service.

The lifetime value of an asset is the total expense incurred on the asset from acquisition till disposal.

The lifetime cost of the dishwasher will be the sum of its cost, sales tax, and water and electricity charges for 6 years.

The water and electricity charges are $0.09 and $0.13 per use. The total number of times the dishwasher is used can be calculated as:

The number of use per week are 10, number of weeks in a year are 52, and number of years of use are 6.

$\rm Number\:of\:uses = 10\:times\times 52\:weeks\:\times6\:years\\\\\rm Number\:of\:uses = 3120\:times$

Therefore, the water and electricity charges will be:

$\rm Water\:charges = 3,120 \times \ 0.09\\\\\rm Water\:charges = \ 280.08\\\\\rm Electricity \:charges = 3,120\times \ 0.13\\\\\rm Electricity \:charges = \ 405.60$

The cost of the dishwasher will be a combination of its purchase price and sales tax. Therefore:

$\rm Cost\:of\:dishwasher = \ 315 + 9.22\%\\\\\rm Cost\:of\:dishwasher = \ 344.043$

The lifetime cost of the dishwasher will be:

$\rm Lifetime\:cost\:of\:dishwasher = \ 344.043 + \ 280.08 +\ 405.60\\\\\rm Lifetime\:cost\:of\:dishwasher = \ 1029.7\\\\\rm Lifetime\:cost\:of\:dishwasher = \ 1030 (approximately)$

Therefore the correct option is A.

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