1. **State the problem:** Omar's available credit is the remaining credit line after accounting for his previous balance, late fee, new purchases, and interest charged.
2. **Identify the formula:**
Available credit = Credit line - (Previous balance + Late fee + New purchases + Interest)
3. **Substitute the values:**
Credit line = 2000
Previous balance = 550.25
Late fee = 35
New purchases = 765.45
Interest = 25.75
4. **Calculate the total amount owed:**
$$550.25 + 35 + 765.45 + 25.75 = 1376.45$$
5. **Calculate available credit:**
$$2000 - 1376.45 = 623.55$$
6. **Explain:** Omar has $623.55 of his credit line still available after all charges.
**Final answer:**
$$\boxed{623.55}$$
Available Credit 9799Ad
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