Because of its age, your car costs $$4,000$ annually in maintenance expense. You could replace it with a newer vehicle costing $$7,800$ that would be expected to have a life of $5$ years. If your opportunity cost of capital is $3\%,$ by how much must maintenance expense decrease on the new vehicle to justify its purchase?

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$($please round your final result to $2$ decimals, but keep as many decimals as possible during calculation$)$