To determine how much of the \[tex]$3900 charge that Patrice made during the first month has been paid off by the end of the seven months, we need to sum up the principal amounts paid in each of the months from month 2 to month 7.
From the given table:
- In month 2: $[/tex]\[tex]$ 42.25$[/tex] of principal was paid.
- In month 3: [tex]$\$[/tex] 41.79[tex]$ of principal was paid.
- In month 4: $[/tex]\[tex]$ 41.34$[/tex] of principal was paid.
- In month 5: [tex]$\$[/tex] 40.89[tex]$ of principal was paid.
- In month 6: $[/tex]\[tex]$ 40.45$[/tex] of principal was paid.
- In month 7: [tex]$\$[/tex] 40.01[tex]$ of principal was paid.
Adding these amounts together, we get:
\[
42.25 + 41.79 + 41.34 + 40.89 + 40.45 + 40.01 = 246.73
\]
Thus, the total principal paid off by the end of the seven months is \$[/tex]246.73.
Hence, the correct answer is:
C. \$246.73
