finances chapter assignment\n7. consider alessandros july statement for a credit card which charges an…

finances chapter assignment\n7. consider alessandros july statement for a credit card which charges an annual interest rate of $29.88\\%$ on any unpaid balance:\n\n| month | previous balance ($) | payment ($) | unpaid balance ($) | interest charge ($) | new purchases ($) | new balance ($) |\n| :--- | :--- | :--- | :--- | :--- | :--- | :--- |\n| july | 2,376.55 | 575.00 | | | 0.00 | |\n\nassume there are no new purchases made in july.\na. what is his unpaid balance in the month of july? fill in the table above.
Answer
Explanation:
Step1: Calculate Unpaid Balance
Subtract the payment from the previous balance. $$2,376.55 - 575.00 = 1,801.55$$
Step2: Determine Monthly Interest Rate
Divide the annual interest rate by 12 months. $$\frac{29.88%}{12} = 2.49% = 0.0249$$
Step3: Calculate Interest Charge
Multiply the unpaid balance by the monthly interest rate. $$1,801.55 \times 0.0249 \approx 44.86$$
Step4: Calculate New Balance
Sum the unpaid balance, interest charge, and new purchases. $$1,801.55 + 44.86 + 0.00 = 1,846.41$$
Answer:
The completed table values for July are: Unpaid Balance ($): 1,801.55 Interest Charge ($): 44.86 New Balance ($): 1,846.41