Q:

ONLY ANSWER IF YOU ACTUALLY KNOW THE ANSWER, AND IS ABLE TO EXPLAIN EVERYTHINGCait purchased a $20 item at a store. She uses a coupon to receive a 15% discount, and she pays a 6% sales tax on item. She calculates the total cost, in dollars, of the item using the expression: (1.15)(1.06)(20)A. Describe the error in the expression Cait used for her calculations.B. Show or explain how you would calculate the total cost of Cait's purchase.

Accepted Solution

A:
A. Describe the error in the expression Cait used for her calculations.
 For this case we have:
 She uses a coupon to receive a 15% discount:
 (100-15) * (1/100) = 0.85
 she pays to 6% sales tax on item:
 (100 + 6) * (1/100) = 1.06
 Therefore, the error is given by:
 (1.15) (1.06) (20)
 the term 1.15

 B. Show or explain how you would calculate the total cost of Cait's purchase.

 The total cost for this case is given by the following expression: 
 (0.85) (1.06) (20)
 Calculating we have:
 $ 18.02