David, a self$-$employed professional, relied extensively on his personal vehicle for business travels this year. He spent $$4,800$ on gasoline expenses. The depreciation for David's car, if fully utilized for business, would total $$11,500.$ Over the year, David drove a total of $35,000$ miles, with $9,800$ miles specifically documented for business purposes. Given the IRS's standard mileage deduction rate for business use, what business expense amount can David deduct $($if any$)$ for these trips?

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