1. Find your credit card balance at the end of July. Your balance on your credit card on July 1st is $43.20. On the 10th you buy lunch for $9.50. You make the min payment of $15 on 20th. This credit card charges 16% interest. (Use the daily average balance)

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1. Find your credit card balance at the end of July. Your balance on your credit card on July 1st is $43.20. On the 10th, you buy lunch for $9.50. You make the minimum payment of $15 on the 20th. This credit card charges 16% interest. (Use the daily average balance)
Transcribed Image Text:1. Find your credit card balance at the end of July. Your balance on your credit card on July 1st is $43.20. On the 10th, you buy lunch for $9.50. You make the minimum payment of $15 on the 20th. This credit card charges 16% interest. (Use the daily average balance)
**Exercise: Calculate Your Credit Card Balance**

**Objective:** Learn to calculate the credit card balance at the end of a month using daily average balance and interest rate.

**Problem Statement:**

1. Determine your credit card balance at the end of July.
   - **Starting Balance (July 1st):** $43.20
   - **Transaction (July 10th):** Purchase lunch costing $9.50
   - **Payment (July 20th):** Made a minimum payment of $15
   - **Interest Rate:** 16% (annual)
   - **Method:** Use the daily average balance to calculate interest.

**Instructions:**

- Calculate the daily average balance.
- Apply the monthly interest based on the annual rate.
- Find the balance at the end of the month after the interest charges. 

Use this exercise to understand how purchases, payments, and interest rates affect your credit card balance over time.
Transcribed Image Text:**Exercise: Calculate Your Credit Card Balance** **Objective:** Learn to calculate the credit card balance at the end of a month using daily average balance and interest rate. **Problem Statement:** 1. Determine your credit card balance at the end of July. - **Starting Balance (July 1st):** $43.20 - **Transaction (July 10th):** Purchase lunch costing $9.50 - **Payment (July 20th):** Made a minimum payment of $15 - **Interest Rate:** 16% (annual) - **Method:** Use the daily average balance to calculate interest. **Instructions:** - Calculate the daily average balance. - Apply the monthly interest based on the annual rate. - Find the balance at the end of the month after the interest charges. Use this exercise to understand how purchases, payments, and interest rates affect your credit card balance over time.
Expert Solution
Step 1

The rate of interest is 16% APR(annual percentage rate). So, the daily rate of  interest is 16%365=0.04383%.

The initial balance is $43.20.

Then, we obtain the following:

                           Date                         Transaction                         Balance
                          1 July                      No transaction                           $ 43.20
                         10 July                        $ 9.50 lunch                           $ 52.70
                         20 July                        $ 15 min payment                          $ 67.70

The balance will remain same on the on the days with no transactions. Thus, at the end of July, total expenditure is $ 67.70.

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