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 $74.61Which 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

Answer: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 $74.61Total 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 = [tex]275.85+318.82+74.61=669.28[/tex]Total cost = $669.28.Now, reducing the discount 15% :$669.28 - 15% of $669.28⇒[tex]669.28-(\frac{15}{100} \times 669.28)[/tex]Calculating the 15% discount we get:⇒[tex]669.28-100.39[/tex]⇒[tex]568.89[/tex].The total cost after discount = $568.89And, the total cost after including the sales tax:$568.89 + 7% of $568.89⇒[tex]568.89+(\frac{7}{100}\times 568.89)[/tex]Calculating the 7% tax we get:⇒[tex]568.89+39.82[/tex]⇒[tex]608.71[/tex]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.