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devlian [24]
4 years ago
12

Nathan took his car in for service and repairs. He had a coupon for 15% off.

Mathematics
1 answer:
Anna35 [415]4 years ago
4 0

Answer:

The amount closest to Nathan's total costs after the 15% discount and 7% sales tax is  <u> $609.</u>

Step-by-step explanation:

Given:

Nathan took his car in for service and repairs. He had a coupon for 15% off.

Original Prices

• Labor $275.85

• Parts $318.82

<u>• Other $74.61</u>

Total costs after the 15% discount and including 7% sales tax.

Now, to find the amount closest to Nathan's total cost.

Total cost before discount and tax:

Total cost = Adding prices of labor, parts and other.

Total cost = 275.85+318.82+74.61=669.28

Total cost = $669.28.

Now, reducing the discount 15% :

<em>$669.28 - 15% of $669.28</em>

⇒669.28-(\frac{15}{100} \times 669.28)

Calculating the 15% discount we get:

⇒669.28-100.39

⇒568.89.

The total cost after discount = $568.89

And, the total cost after including the sales tax:

<em>$568.89 + 7% of $568.89</em>

⇒568.89+(\frac{7}{100}\times 568.89)

Calculating the 7% tax we get:

⇒568.89+39.82

⇒608.71

Total cost = $608.71.

An approximate value of the total cost = $609.

Therefore, the amount closest to Nathan's total costs after the 15% discount and 7% sales tax is  $609.

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