Original price of an oil change: [tex]\$16.95[/tex]

Discount: [tex]30\%[/tex]

Tax: [tex]1\%[/tex]

Calculate the final price after applying the discount and adding the tax.



Answer :

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.