An archaeologist found a burial jar when excavating in an ancient village. To determine the age of the burial jar, carbon dating is to be performed on the remains inside the jar. Carbon dating involves quantifying the current amount of carbon-14 (half-life 5,730 years) present in an artifact, then using that information to know how old the artifact is. If the remains inside said burial jar was currently found to have 5/7 of the original amount found on alive individuals, estimate how old the jar is based on the information regarding corpse inside the jar. Assume the rate of decay of carbon-14 is proportional to the current amount. Express your answers accurate to four decimal places. No need to put units of measurement. Do not put spaces.

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