Questions: Enzel goes online to buy a graphing calculator. He finds a site that currently has a promotion of 15% off on all orders over 50. Enzel decides to buy his graphing calculator, with a price tag of 83, at this site because he knows that he will get the 15% discount when he checks out. Enzel pays 4.5% sales tax on the discounted price and pays a shipping fee of 6.35. What is the total of Enzel's online purchase? a. 80.07 b. 80.36 c. 86.74 d. 93.09

Solution Steps

To solve this problem, we need to follow these steps:

1. Calculate the discounted price of the graphing calculator.
2. Apply the sales tax to the discounted price.
3. Add the shipping fee to the total cost after tax.
4. Compare the final total with the given options to find the correct answer.

The original price of the graphing calculator is \(\$83.00\). The site offers a \(15\%\) discount on all orders over \(\$50\). Therefore, the discounted price is calculated as follows: \[ \text{Discounted Price} = 83.00 \times (1 - 0.15) = 83.00 \times 0.85 = 70.55 \]

Enzel pays a \(4.5\%\) sales tax on the discounted price. The total price after tax is calculated as: \[ \text{Total Price After Tax} = 70.55 \times (1 + 0.045) = 70.55 \times 1.045 = 73.7247 \]

Enzel also pays a shipping fee of \(\$6.35\). The final total cost is: \[ \text{Final Total Cost} = 73.7247 + 6.35 = 80.0747 \]

Final Answer