Beth will pay $ 405.45 for washing machine
<em><u>Solution:</u></em>
Given that, Beth is buying a new washing machine that costs $450
Cost price = $ 450
She has a 15% off coupon
So, she has a discount of 15 % of 450
<em><u>Let us find the discount rate</u></em>
Discount rate = 15 % of 450
![Discount\ rate = 15 \% \times 450\\\\Discount\ rate = \frac{15}{100} \times 450 = 0.15 \times 450 = 67.5](https://tex.z-dn.net/?f=Discount%5C%20rate%20%3D%2015%20%5C%25%20%5Ctimes%20450%5C%5C%5C%5CDiscount%5C%20rate%20%3D%20%5Cfrac%7B15%7D%7B100%7D%20%5Ctimes%20450%20%3D%200.15%20%5Ctimes%20450%20%3D%2067.5)
Thus discount rate is $ 67.5
<em><u>Therefore, sales price is given as:</u></em>
sales price = cost price - discount rate
sales price = 450 - 67.5 = 382.5
Thus she pays $ 382.5
Now she must pay 6 % sales tax
Let us find the sales tax rate
Sales tax rate = 6 % of 382.5
![sales\ tax\ rate = 6 \% \times 382.5\\\\sales\ tax\ rate = \frac{6}{100} \times 382.5 = 0.06 \times 382.5 = 22.95](https://tex.z-dn.net/?f=sales%5C%20tax%5C%20rate%20%3D%206%20%5C%25%20%5Ctimes%20382.5%5C%5C%5C%5Csales%5C%20tax%5C%20rate%20%3D%20%5Cfrac%7B6%7D%7B100%7D%20%5Ctimes%20382.5%20%3D%200.06%20%5Ctimes%20382.5%20%3D%2022.95)
Thus sales tax rate = $ 22.95
<em><u>How much will Beth pay for the washing machine?</u></em>
Total amount paid by Beth = sales price + sales tax rate
Total amount paid by Beth = 382.5 + 22.95 = 405.45
Thus Beth will pay $ 405.45 for washing machine