1. The problem asks to find the final prices after applying a 20% discount to two amounts: 5.99 and 57. 2. To calculate the discount amount, multiply the original price by the discount percentage expressed as a decimal: 20% = 0.20. 3. Calculate the discount for 5.99: $$5.99 \times 0.20 = 1.198$$. 4. Subtract the discount from the original price to get the final price: $$5.99 - 1.198 = 4.792$$. 5. Calculate the discount for 57: $$57 \times 0.20 = 11.4$$. 6. Subtract the discount from the original price for 57: $$57 - 11.4 = 45.6$$. 7. Therefore, the final prices are 4.792 and 45.6 respectively after the 20% discount.