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?

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**.