Final answer:
To calculate how much Kobe paid on average in addition to his $95 monthly payment, we can use the following equation: $2045 = ($95 + Average interest payment per month) * 11. Solving for the average interest payment per month, we find that Kobe paid an average of $90.91 per month in interest.
Step-by-step explanation:
The subject of the question is Mathematics, specifically focusing on the calculation of loan payments which involves understanding principles of finance and arithmetic sequences. The problem can be modeled using a simple equation. We know that Kobe paid a total of $2045 over 11 months, which includes both the principal and the interest. If he paid an average monthly payment of $95 that covers only the principal, we need to determine how much interest he paid on average each month.
To find out the average monthly interest paid, we can use the following equation:
Total amount paid = (Average principal payment per month + Average interest payment per month) * Number of month
This translates to:
$2045 = ($95 + Average interest payment per month) * 11
Now, we solve for the average interest payment per month:
$2045 = $95 * 11 + (Average interest payment per month) * 11
$2045 = $1045 + (Average interest payment per month) * 11
$2045 - $1045 = (Average interest payment per month) * 11
$1000 = (Average interest payment per month) * 11
Average interest payment per month = $1000 / 11
Average interest payment per month = $90.91
Therefore, Kobe paid an average of $90.91 per month in interest, in addition to his average monthly principal payment of $95.