Third row:
The balance stays the same as the previous row ($337.52).
We have 12 days between 9/7 and 9/18, so we can calculate the product/sum as:
![S=12\cdot337.52=4050.24](https://img.qammunity.org/2023/formulas/mathematics/college/mmkb3x4bwv98zcwwntcsgpn8kki8pgxk46.png)
NOTE: the product/sum will be used to calculate the average balance for the month.
Fifth row:
The balance stays the same as the previous row ($399.78).
We have 11 days between 9/20 and 9/30.
Then, the product/sum is:
![S=399.78\cdot11=4397.58](https://img.qammunity.org/2023/formulas/mathematics/college/a56n93guq0g69txsju0z91uwin9eirz4y7.png)
Total:
The total product/sum is:
![S_{\text{Total}}=1937.60+337.52+4050.24+399.78+4397.58=11122.72](https://img.qammunity.org/2023/formulas/mathematics/college/4utqtwccphvqv9m67z7r7o685kdduw5tzh.png)
Average daily balance:
We can take the total product/sum and divide by the total amount of days.
![\text{average daily balance}=(11122.72)/(30)=370.76](https://img.qammunity.org/2023/formulas/mathematics/college/8fghm90lauvz7f2gu9risrdqo4fbwltpc2.png)
Finance charge:
![\text{ finance charge}=(1.25)/(100)\cdot370.76=4.63](https://img.qammunity.org/2023/formulas/mathematics/college/ouci3asul8djmcz6gu2yf8i3td28nmbkk4.png)
New balance:
![\begin{gathered} \text{New balance = previous balance - payment/credits + finance charge + new purchases} \\ \text{New balance = }387.52-50+4.63+62.26=404.41 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/bdnxpuye4krjr6yxk5bwsu0jznkitvu6lr.png)
The new balance is $404.41.