Given that the credit card has an APR of 21.8%=0.218.
The previous balance in the first month is $1300. The payment is $300 and the purchase is equal to $500.
now, we need to find the finance charges by the following formula:
![(APR)/(12)*(PreviousBalance-payments+purchases)](https://img.qammunity.org/2023/formulas/mathematics/college/7us101r9ry4a15ydppdx78034jwav44umq.png)
Substitute the given values in the formula:
![(0.218)/(12)*(1300-300+500)=27.25](https://img.qammunity.org/2023/formulas/mathematics/college/6hr3z26vsinffxoznziwta2p7y3tf021i0.png)
now, the new balance for the first month will be equal to Previous balance-payments+purchases+finance charges
![1300-300+500+27.25=1527.25](https://img.qammunity.org/2023/formulas/mathematics/college/46ee5xt380uaszqnzmz5dlqk47fxgzkcmn.png)
the same calculation goes for the second month. the previous balance for second month is $1527.25. The payment is $300 and the purchase is equal to $600.
The finance charges for the second will be:
![(0.218)/(12)*(1527.25-300+600)=33.20](https://img.qammunity.org/2023/formulas/mathematics/college/dxw92z3k10b1cc17vwa11d87d7xdhz8690.png)
So, the new balance for the second month will be
![1527.25-300+600+33.20=1860.45](https://img.qammunity.org/2023/formulas/mathematics/college/4uz3ru87gqfrlhl5dq0bpi3x0ekvgge6tr.png)
Now, you can fill the table your self.