Q$.2(20$pts$)$ A sinking fund is to be established to cover the capitalized cost of temperature recorders. The recorders cost $$2,000$ and must be replaced every $5$ years. Maintenance and repairs come to $$200$ a year. At the end of $5$ years the accumulated sinking fund deposits are expected to cover the capitalized cost of continuous expense for these recorders. How much money must be deposited each year, at an interest rate of$,$ say, $5\%,$ to cover the capitalized costs at the end of $5$ years?