First, we calculate to amount of 4 checks she wrote by adding them all up.
total amount of check = 200.25 + 359.45 + 125 + 299.35
= 984.05
Then, subtracting this value from the original amount in her bank account.
= 1,459.75 - 984.05
= 457.7
Then, after depositing an additional amount, her new balance is,
new balance = 457.7 + 375
= $850.7
Thus, her bank account will have a new balance of $850.7.