Sure! Let's work through the problem step-by-step.
1. Original Price: The initial price of the oil change is $16.95.
2. Discount Calculation:
- The discount provided is 30%.
- To find the discount amount, we multiply the original price by the discount rate:
[tex]\[
\text{Discount Amount} = 16.95 \times 0.30 = 5.085
\][/tex]
3. Price After Discount:
- The discounted price is calculated by subtracting the discount amount from the original price:
[tex]\[
\text{Discounted Price} = 16.95 - 5.085 \approx 11.865
\][/tex]
4. Tax Calculation:
- The tax rate is 1%.
- To find the tax amount, we multiply the discounted price by the tax rate:
[tex]\[
\text{Tax Amount} = 11.865 \times 0.01 \approx 0.119
\][/tex]
5. Final Price:
- The final price is calculated by adding the tax amount to the discounted price:
[tex]\[
\text{Final Price} = 11.865 + 0.119 \approx 11.984
\][/tex]
Putting it all together, we get:
- Discount Amount: \$5.085
- Discounted Price: \$11.865
- Tax Amount: \$0.119
- Final Price: \$11.984
Thus, after applying the discount and tax, the final price you need to pay for the oil change is approximately \$11.98.
