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

Question

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

UpStudy AI · Accepted Answer

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
**a) Sale Price:** \$58.49 **b) Total Price with Tax:** \$66.09

A winter jacket is regularly priced at . It is on sale for off.

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