Final answer:
The business negotiates a 3.6% discount rate on credit card sales of $78,450, resulting in a discount of $2,824.20. Therefore, the business owes the bank $75,625.80 after applying the negotiated discount.
Step-by-step explanation:
If a business negotiates a 3.6% discount rate and has credit card sales this month of $78,450, the amount it would owe to the bank can be calculated by subtracting the discount amount from the total sales. The discount on the sales can be calculated as follows:
Discount = Total Sales × Discount Rate
Discount = $78,450 × 0.036
Discount = $2,824.20
Now, the amount owed to the bank will be the total sales minus the discount:
Amount owed = Total Sales – Discount
Amount owed = $78,450 – $2,824.20
Amount owed = $75,625.80
Therefore, the business owes the bank $75,625.80 after the discount.