An employee borrows \( \$ 9000 \) from a bank to purchase some household items. She plans to repay the loan with a bonus she is supposed to receive in 115 days. If she borrows the money at \( 10.3 \% \), find the discount and the proceeds. Use banker's interest of 360 days. The discount is \( \$ \square \). (Round to the nearest cent.) The proceeds of the note are \( \$ \square \).

Given: - Face value (the amount borrowed) \( F = \$9000 \). - Annual banker's discount rate \( r = 10.3\% = 0.103 \). - Time \( t = 115 \) days. - Using banker's year of 360 days. **Step 1. Compute the discount** The banker's discount on a note is given by the formula \[ \text{Discount} = F \cdot r \cdot \frac{t}{360}. \] Substitute the given values: \[ \text{Discount} = 9000 \times 0.103 \times \frac{115}{360}. \] First, compute the time fraction: \[ \frac{115}{360} \approx 0.31944. \] Then, compute the discount: \[ \text{Discount} \approx 9000 \times 0.103 \times 0.31944. \] Calculate the intermediate product: \[ 9000 \times 0.103 = 927. \] Thus, \[ \text{Discount} \approx 927 \times 0.31944 \approx 296.125. \] Rounded to the nearest cent, the discount is \[ \$296.13. \] **Step 2. Compute the proceeds** The proceeds from the note are the face value minus the discount: \[ \text{Proceeds} = F - \text{Discount}. \] Substitute the values: \[ \text{Proceeds} = 9000 - 296.13 = 8703.87. \] Rounded to the nearest cent, the proceeds are \[ \$8703.87. \] **Final Answers:** - The discount is \( \$296.13 \). - The proceeds are \( \$8703.87 \).