Final answer:
After applying a 20% discount and adding a 13% tax to the original price of the shoes (26.99), Mike paid a final amount of 24.40, rounded to the nearest cent. The closest option provided is Option d) 24.25.
Step-by-step explanation:
Mike purchased a pair of shoes for 26.99 and received a 20% discount. To calculate the discount amount, convert 20% to a decimal by dividing by 100, which gives 0.20. Multiply this by the price of the shoes: 26.99 × 0.20 = 5.398. Round this discount to the nearest cent to get 5.40. Deduct the discount from the original price: 26.99 - 5.40 = 21.59, which is the price before tax.
Next, calculate the tax by converting the 13% sales tax to a decimal and then multiplying by the discounted price: 21.59 × 0.13 = 2.8067. Round the sales tax to the nearest cent to get 2.81. Add the sales tax to the discounted price to get the final amount Mike paid: 21.59 + 2.81 = 24.40.
Therefore, after applying the discount and adding tax, Mike paid 24.40 for the shoes, rounded to the nearest cent. However, since this answer was not one of the options provided and rounding was specified only for the final answer, there may be a rounding discrepancy. Rounding the final answer to two decimal places, the closest option to the calculated amount is Option d) 24.25.