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

original prices
• labor $275.85
• parts $318.82
• other $74.61

which amount is closest to nathan's total costs after the 15% discount and including 7% sales tax? [assume tax is applied after the discount is applied.]
a.
$609
b.
$569
c.
$529

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

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

• Other $74.61

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 =

Total cost = $669.28.

Now, reducing the discount 15% :

$669.28 - 15% of $669.28

⇒

Calculating the 15% discount we get:

⇒

⇒.

The total cost after discount = $568.89

And, the total cost after including the sales tax:

$568.89 + 7% of $568.89

⇒

Calculating the 7% tax we get:

⇒

⇒

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.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b