Juan's Engineering buys circuit boards with a list price of $$ \$ 32,000 $$. If the supplier extends trade discounts of $$ 42 / 32 / 12 $$, what is the trade discount amount?

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To determine the trade discount amount for Juan's Engineering, we'll apply the successive trade discounts of $$42\%$$, $$32\%$$, and $$12\%$$ to the list price of \$32,000. Here's a step-by-step breakdown:

1. **First Discount (42%)**:
   $$
   \text{Discount} = 0.42 \times 32,\!000 = \$13,\!440
   $$
   $$
   \text{Price after first discount} = 32,\!000 - 13,\!440 = \$18,\!560
   $$

2. **Second Discount (32%)**:
   $$
   \text{Discount} = 0.32 \times 18,\!560 = \$5,\!939.20
   $$
   $$
   \text{Price after second discount} = 18,\!560 - 5,\!939.20 = \$12,\!620.80
   $$

3. **Third Discount (12%)**:
   $$
   \text{Discount} = 0.12 \times 12,\!620.80 = \$1,\!514.50
   $$
   $$
   \text{Price after third discount} = 12,\!620.80 - 1,\!514.50 = \$11,\!106.30
   $$

4. **Total Trade Discount**:
   $$
   \text{Total Trade Discount} = \text{List Price} - \text{Final Price} = 32,\!000 - 11,\!106.30 = \$20,\!893.70
   $$

**Final Answer:**
The total trade discount amount is **\$20,893.70**.
The total trade discount is \$20,893.70.

Juan's Engineering buys circuit boards with a list price of \( \$ 32,000 \). If the supplier extends trade discounts of \( 42 / 32 / 12 \), what is the trade discount amount?

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