Matthew is a self$-$employed individual who heavily relies on his personal vehicle for business purposes. He spent $$2,850$ on gasoline for business$-$related travels this year. The depreciation for Matthew's car, if fully utilized for business, would be $$7,000.$ Over the course of the year, Matthew drove a total of $20,500$ miles, with $4,200$ miles specifically documented for business purposes. Given the IRS's standard mileage deduction rate for business use, what business expense amount can Matthew deduct $($if any$)$ for these trips?

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