$3.$ Torbet Fish Packing Company wants to accumulate enough money over the next $10$ years to pay for the expected replacement of its digitalized, automated scaling machine. The new machine is expected to cost $$160,000$ in $10$ years. Torbet currently has $$14,000$ that it plans to invest over the next $10$ years to help pay for the new machine. Torbet wants to put away an equal, end$-$of$-$year amount into a sinking fund investment account at the end of each of the next $10$ years. Earnings on all of the investments are expected to be $7$ percent for the first five years and $10$ percent thereafter. What equal, end$-$of$-$year amount must Torbet save each year over the next $10$ years to meet these needs? Use Table I and Table III or a financial calculator to answer the question. Round your answer to the nearest dollar.