An invoice for $600 is dated October 17 and has sales terms of 3/10 ROG. The merchandise arrives October 20. How much is due if the bill is paid October 29?

6x=24

To calculate the amount due if the bill is paid on October 29, we need to consider the sales terms given in the question. The sales terms "3/10 ROG" stands for a discount percentage and a number of days.

1. The first number, "3," represents the discount percentage. In this case, it means that the buyer can receive a 3% discount if the payment is made within the specified number of days.
2. The second part, "10 ROG," means that the payment should be made within 10 days of the "Receipt of Goods" (ROG) date.

Given that the invoice is dated October 17, we need to determine the ROG date, which is three days after the invoice date. Therefore, the ROG date is October 20.

Now, let's calculate the amount due if the bill is paid on October 29:

1. Determine the payment terms: The payment terms state that payment should be made within 10 days of the ROG date.
- Invoice date: October 17
- ROG date: October 20
- Payment due date: October 30 (10 days after the ROG date)

2. Calculate the discount period: The discount period is the time within which the buyer can receive a discount (in this case, 3%) on the total amount.
- Start of discount period: ROG date (October 20)
- End of discount period: 10 days after the start of the discount period (October 30)

3. Determine if the payment is made within the discount period: Since the payment date is October 29, which is within the discount period, the buyer is eligible for a 3% discount.

4. Calculate the discounted amount: Multiply the total amount by the discount percentage.
- Total amount: $600
- Discount percentage: 3%
- Discounted amount: $600 * 0.03 = $18

5. Calculate the amount due after the discount: Subtract the discounted amount from the total amount.
- Amount due: $600 - $18 = $582

Therefore, if the bill is paid on October 29, the amount due is $582.