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 equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: