Vincent had these daily balances on his credit card for his last billing period. He did not pay the card in full the previous month, so he will have to pay a finance charge. The APR is 19.2%.

9 days at $778.12
8 days at $1,876.00
4 days at $2,112.50
10 days at $1,544.31

What is the average daily balance? Round to the nearest cent.
What is the finance charge? Round to the nearest cent.

Respuesta :

a. $1,480.78

b. $23.69

Step-by-step in picture below

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The average daily balance is $203.6, and the finance charge is $100.97 if the annual percentage rate is 19.2%

What is APR?

The full name of APR is annual percent rate. It is defined as the percentage rate which applied on the borrowing money in the form of interest but APR applied annually.

We have:

Vincent had these daily balances on his credit card for his last billing period:

9 days at $778.12

8 days at $1,876.00

4 days at $2,112.50

10 days at $1,544.31

The sum of all the balance =  $778.12 + $1,876.00 + $2,112.50 + $1,544.31

= $6310.93

Total days = 9+8+4+10 ⇒ 31

The average daily balance = $6310.93/31 ⇒ $203.57 ≈ $203.6

We have APR = 19.2%

Monthly percent rate = 19.2/12 ⇒ 1.6%

Now the finance charge = 1.6% of 6310.93

= 0.016×203.6

= $100.97

Thus, the average daily balance is $203.6, and the finance charge is $100.97

Learn more about the APR here:

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