Let's break down the problem step-by-step:
1. Calculate the total amount spent before tax:
Carla purchased three items:
- Hat for [tex]$12
- Purse for $[/tex]26
- Dress for [tex]$125
To find the total cost without sales tax, we add these amounts together:
\[
12 + 26 + 125 = 163
\]
So, the total cost before tax is $[/tex]163.
2. Calculate the sales tax:
The sales tax rate is 5.6%. To find the amount of sales tax on the total cost, we multiply the total cost by the sales tax rate (as a decimal):
[tex]\[
163 \times 0.056 = 9.128
\][/tex]
So, the total sales tax is [tex]$9.128.
3. Calculate the total amount paid:
To find the total amount Carla paid, we add the total cost before tax to the sales tax:
\[
163 + 9.128 = 172.128
\]
Therefore, the total amount Carla paid is $[/tex]172.128, which can be rounded to [tex]$172.13.
So, the correct answer is:
B. $[/tex]172.13
