Certainly! Let's work through the problem step-by-step to find the price you will pay for the t-shirt.
1. Original Price: The t-shirt's original price is [tex]$20.00.
2. Calculate Discount (15% off):
- Discount Amount: 15% of the original price of $[/tex]20.00.
- [tex]\(\text{Discount Amount} = 20.00 \times 0.15 = 3.00\)[/tex]
3. Discounted Price: Subtract the discount from the original price.
- [tex]\(\text{Discounted Price} = 20.00 - 3.00 = 17.00\)[/tex]
So, after applying the 15% discount, the price of the t-shirt is [tex]$17.00.
4. Calculate Sales Tax (8.765%) on the Discounted Price:
- Sales Tax Amount: 8.765% of the discounted price of $[/tex]17.00.
- [tex]\(\text{Sales Tax Amount} = 17.00 \times \frac{8.765}{100} = 1.49005\)[/tex]
5. Final Price (Including Sales Tax): Add the sales tax to the discounted price.
- [tex]\(\text{Final Price} = 17.00 + 1.49005 = 18.49005\)[/tex]
So, the final price you will pay for the t-shirt, after applying the discount and adding the sales tax, is approximately [tex]$18.49.
Therefore, the correct answer is:
c) $[/tex]18.49
