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avatar+191 

Hello,
 1. A credit card account has a $456 balance on 7/8. A purchase of $112 was made on 7/16 and a payment of $342 was made on 7/28. The billing is 8/8
Find the average balance 
I found : $5391.405405

 

I fell like this is not the right answer,  I try to do it, but I feel like I did something wrong 
The thing that bother me here, its the billing on the 8/8  and not on the 31 of the month.

Best 

Thank you for your help ! 

 Sep 27, 2015

Best Answer 

 #3
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+5

The interest is only for ONE MONTH, not an entire year, so:  (1/12 of a year)

(417.74 x .156)/12

5.43

 Sep 27, 2015
 #1
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+5

The average balance will be:

 

(456 (8 days) + (456+112) (12 days) + (456 + 112 -342) (11 days))  / 31 days       (August has 31 days)

417.74

 Sep 27, 2015
 #2
avatar+191 
0

Thank you for you answer, then

 

If the average balance is 417.74, 

 

If the annual rate is 15.6%, what is the interest on the card for the billing period ? 

 

It would be : I : P*R*T so It would be 

 

417.74 * 0.156 * t = 12 ? 

 

Best, 

 

Thank you for your answer, I am still confused about it :(

 Sep 27, 2015
 #3
avatar
+5
Best Answer

The interest is only for ONE MONTH, not an entire year, so:  (1/12 of a year)

(417.74 x .156)/12

5.43

Guest Sep 27, 2015
 #4
avatar+191 
0

Yes, I understand 

But since it is for a Month + 8 days ? 

 

Do I have to take the 8 days in account ? 

 

Best, 

 Sep 27, 2015
 #5
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+5

No, the credit card is billed on the same day each month....the 8th   so the interest for 7/8 to 8/8 is ONE month of interest.  The NEXT bill will occur one month later on 9/8.....   you see?

 Sep 27, 2015
 #6
avatar+191 
0

I get it, thank you for you help ! 

 

Best, 

Thalys 

 Sep 27, 2015

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