$002,10\mathrm{.}0$ points

Sidney borrows $$12,000\mathrm{.}00.$ The loan is gov$-$

erned by compound interest and the annual

effective rate of discount is $6\%.$ Sidney repays

$$2,700\mathrm{.}00$ at the end of one year, $x$ at the

end of two years, and $$2,500\mathrm{.}00$ at the end

of three years in order to exactly pay off the

loan. Find $x.$

Round your answer to the nearest cent.

Answer in units of dollars. Your answer

must be within $+-0\mathrm{.}0\%$