Let's determine Jessica's adjusted balance for October by following her transaction history step by step.
1. Initial balance (October 1): Jessica starts with a balance of \[tex]$1,240.55.
2. Transaction on October 2: Jessica makes a purchase of \$[/tex]36.43. This purchase increases her balance.
[tex]\[
\text{New Balance} = 1240.55 + 36.43 = 1276.98
\][/tex]
3. Transaction on October 10: Jessica makes a payment of \[tex]$75.00. This payment reduces her balance.
\[
\text{New Balance} = 1276.98 - 75.00 = 1201.98
\]
4. Transaction on October 13: Jessica makes another payment of \$[/tex]131.79. This payment further reduces her balance.
[tex]\[
\text{New Balance} = 1201.98 - 131.79 = 1070.19
\][/tex]
5. Transaction on October 20: Jessica makes a purchase of \[tex]$41.52. This purchase increases her balance.
\[
\text{New Balance} = 1070.19 + 41.52 = 1111.71
\]
6. Transaction on October 22: Jessica makes another purchase of \$[/tex]25.00. This purchase further increases her balance.
[tex]\[
\text{Final Adjusted Balance} = 1111.71 + 25.00 = 1136.71
\][/tex]
Thus, Jessica's adjusted balance for October is:
[tex]\[
\boxed{1136.71}
\][/tex]
The correct answer is:
a. [tex]$\$[/tex]1,136.71$.
