Net Amount Due is 52,714.80  Partial payment of 40,000 is made within the discount period (3/15, n/30),  what is the net balance (in $) still due? (Round your answer to the nearest cent.) 

To calculate the net balance due after a partial payment, we first need to determine if the partial payment qualifies for the discount. The terms given are $ 3/15, n/30 $, which means a 3% discount is offered if payment is made within 15 days, and the full amount is due within 30 days.

### Step-by-Step Calculation:

1. **Determine the eligible discount on the partial payment**:
   The partial payment is $40,000, and since it's made within the discount period, a 3% discount applies to this amount.
   \[
   \text{Discount} = 40,000 \times 0.03 = 1,200
   \]
   So, the discount amount is $1,200.

2. **Apply the discount**:
   The effective payment after the discount would be:
   \[
   \text{Effective Payment} = 40,000 - 1,200 = 38,800
   \]
   This means the $40,000 payment covers $38,800 of the balance.

3. **Calculate the new balance**:
   Subtract the effective payment from the original net amount due:
   \[
   \text{New Balance} = 52,714.80 - 38,800 = 13,914.80
   \]

Thus, the net balance still due is **$13,914.80**.

Would you like further details on this calculation? 

Here are some related questions to deepen your understanding:
1. How would the calculation change if no discount was applied?
2. What would the new balance be if the payment was made after the discount period?
3. How is the percentage discount applied if multiple partial payments are made?
4. What if the partial payment was higher than the discounted amount?
5. Can you explain how the terms 3/15, n/30 are typically structured?

**Tip:** Always double-check if a partial payment qualifies for discounts before calculating the remaining balance.

Net Amount Due is 52,714.80. Partial payment of 40,000 is made within the discount period (3/15, n/30). What is the net balance (in $) still due? (Round your answer to the nearest cent.)

Learn how to calculate the remaining balance after a partial payment of $40,000 is made within the discount period on a total due of $52,714.80. This step-by-step guide covers concepts like percentage discounts, discount formulas, and applying payments to balances. Suitable for Grade 10 students.

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