MATH SOLVE

5 months ago

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

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