Roger has a credit card with an APR of 19. 40% and a billing cycle of 30 days. The following table shows his transactions with that credit card in the month of June. Date Amount ($) Transaction 6/1 265. 40 Beginning balance 6/6 90. 00 Payment 6/16 43. 33 Purchase 6/22 37. 71 Purchase If Roger’s finance charge for June is $3. 56, which method of calculating the finance charge does Roger’s credit card company use? a. Daily balance method b. Adjusted balance method c. Previous balance method d. There is not enough information to determine which method was used.

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Answer:

âś… A. daily balance method

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The method that Roger's credit card company use is the average daily balance method.

(1) If Roger's company uses the previous balance method:

The total balance at the end of the month is:

P= 265.40+43.33+37.71= $346.44

The interest levied on this balance = 346.44*19.40/100 *1/12 = $5.60

(2)If Roger's company uses the adjusted balance method:

The total balance at the end of the month is:

P= 265.40+43.33+37.71-90= 256.44

The interest levied on this balance = 256.44*19.40/100 * 1/12 = $4.146

What is the average daily balance method?

The average daily balance is a common accounting method that calculates interest charges by considering the balance invested or owed at the end of each day of the billing period, rather than the balance invested or owed at the end of the week, month, or year.

(3)if Roger's company uses the Daily balance method:

Balance up to 6/1 to 6/6 = 265.40 for 5 days

Balance up to 6/6 to 6/16 = 265.40-90 = 175.40 for 10 days

Balance up to 6/16 to 6/22 = 175.40+43.33. = 218.73 for 6 days

Balance upto 6/22 to 6/30 = 218.73+37.71 = 256.44 for 8 days

So average daily balance :

(265.40*5+175.40*10+218.73*6+ 256.44*8)/30= 214.83

The interest levied on this balance = 214.83*19.40/100 * 1/12= $3.47

Thus, the method that Roger's credit card company use is the average daily balance method.

To get more about the average daily balance method refer to the link,

https://brainly.com/question/9982329