A winter jacket is regularly priced at \( \$ 89.99 \). It is on sale for \( 35 \% \) off. \( \begin{array}{ll}\text { a) What is the sale price nf cive jaclec? } & \text { b) What is the total price, with } 13 \% \text { taxes? }\end{array} \)

Sure, let's solve each part step by step. ### Given: - **Regular Price of Jacket:** \$89.99 - **Discount:** 35% off - **Sales Tax:** 13% --- ### a) **What is the sale price of the jacket?** To find the sale price, we need to calculate 35% of the regular price and then subtract it from the regular price. 1. **Calculate the Discount Amount:** \[ \text{Discount} = \text{Regular Price} \times \left( \frac{\text{Discount \%}}{100} \right) = \$89.99 \times \left( \frac{35}{100} \right) = \$89.99 \times 0.35 = \$31.50 \] 2. **Calculate the Sale Price:** \[ \text{Sale Price} = \text{Regular Price} - \text{Discount} = \$89.99 - \$31.50 = \$58.49 \] **Answer:** The sale price of the jacket is **\$58.49**. --- ### b) **What is the total price, including 13% taxes?** To find the total price after tax, we need to add 13% of the sale price to the sale price. 1. **Calculate the Tax Amount:** \[ \text{Tax} = \text{Sale Price} \times \left( \frac{\text{Tax \%}}{100} \right) = \$58.49 \times \left( \frac{13}{100} \right) = \$58.49 \times 0.13 = \$7.60 \] 2. **Calculate the Total Price:** \[ \text{Total Price} = \text{Sale Price} + \text{Tax} = \$58.49 + \$7.60 = \$66.09 \] **Answer:** The total price of the jacket, including 13% tax, is **\$66.09**. --- ### **Summary** - **Sale Price:** \$58.49 - **Total Price with Tax:** \$66.09