File Edit Format View Help A cellular company purchased \( \$ 25,800 \) in cell phones on June 25 . The terms of sale were \( 4 / 20,3 / 30, \mathrm{n} / 60 \). Freight terms were F.O.B. destination. Returned goods amounted to \( \$ 650 \). If the manufacturer charges a \( 41 \% \) late fee, how much (in \( \$ \) ) would the cellular company owe if it did not pay the balance by the net date? (Round your answer to the nearest cent.)

To find out how much the cellular company would owe if they did not pay by the net date, we first need to determine the balance after returns and any applicable discounts. 1. **Calculate the returns**: The initial purchase amount was $25,800, and returns amounted to $650. \[ 25,800 - 650 = 25,150 \] 2. **Determine payment terms**: The terms of sale are \(4/20\), \(3/30\), and \(n/60\). This means that a 4% discount is available if paid within 20 days, a 3% discount within 30 days, and the net amount is due in 60 days. 3. **Calculating the discounts**: - If they pay within 20 days: \[ 25,150 \times 0.04 = 1,006 \quad \Rightarrow \quad 25,150 - 1,006 = 24,144 \] - If they pay within 30 days: \[ 25,150 \times 0.03 = 754.50 \quad \Rightarrow \quad 25,150 - 754.50 = 24,395.50 \] 4. **After 60 days**: The full amount of $25,150 would be due. Since they did not pay, a late fee of 41% is applied. \[ 25,150 \times 0.41 = 10,321.50 \] Therefore, the total amount owed after the late fee: \[ 25,150 + 10,321.50 = 35,471.50 \] So, if the cellular company failed to pay by the net date, they would owe **$35,471.50** (rounded to the nearest cent).