The bike you have been saving for is discounted \( 25 \% \). You have \( \$ 400 \) saved to purchase it. The original, non-discounted price of the bike is \( \$ 450 \). There is a \( 5.44 \% \) sales tax added to the price of the bike. After you purchase the bike with the discount and sales tax, how much money will you have left over? Round your answer to the nearest dollar.

To determine how much money you'll have left after purchasing the bike with the discount and sales tax, follow these steps: 1. **Calculate the Discounted Price:** - **Original Price:** \$450 - **Discount:** 25% of \$450 = \(0.25 \times 450 = \$112.50\) - **Discounted Price:** \$450 - \$112.50 = **\$337.50** 2. **Calculate the Sales Tax:** - **Sales Tax Rate:** 5.44% - **Sales Tax Amount:** \(0.0544 \times 337.50 = \$18.36\) 3. **Determine the Total Cost:** - **Total Purchase Price:** \$337.50 (discounted price) + \$18.36 (sales tax) = **\$355.86** 4. **Calculate the Remaining Money:** - **Amount Saved:** \$400 - **Remaining Money:** \$400 - \$355.86 = **\$44.14** 5. **Round to the Nearest Dollar:** - **Final Amount Left:** \$44 **Answer:** After the purchase, you will have **\$44** left.