The final price of the textbook for an English literature course is 8.3% more than the listed price when tax and shipping costs are included. If the listed price is $104, what is the final price of the textbook? (Round to the nearest dollar.)
Answer (2)
Calculate the increase: 0.083 × 104 = 8.632 .
Add the increase to the listed price: 104 + 8.632 = 112.632 .
Round the final price to the nearest dollar: 112.632 ≈ 113 .
The final price of the textbook is 113 .
Explanation
Understanding the Problem We are given that the listed price of the textbook is $104, and the final price is 8.3% more than the listed price. This means we need to calculate 8.3% of the listed price and add it to the listed price to find the final price. Finally, we need to round the result to the nearest dollar.
Calculating the Increase First, we calculate 8.3% of $104: 0.083 × 104 = 8.632 This is the amount added to the listed price due to tax and shipping costs.
Finding the Final Price Next, we add this increase to the listed price to find the final price: 104 + 8.632 = 112.632 This is the final price before rounding.
Rounding to the Nearest Dollar Finally, we round the final price to the nearest dollar: 112.632 ≈ 113 So, the final price of the textbook is approximately $113.
Examples
Imagine you are buying a new video game. The listed price is $60, but there's a 7% sales tax. To find the final price, you calculate 7% of $60, which is $4.20. Adding this to the listed price gives you a final price of $64.20. Rounding to the nearest dollar, you'll pay $64 for the video game. This is a practical application of percentage increases and rounding in everyday shopping scenarios.
The final price of the textbook, given the listed price of $104 and an increase of 8.3%, is approximately $113 after rounding. The increase calculated is $8.63, which when added to the listed price gives a total of $112.63. After rounding to the nearest dollar, the final price is $113.
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