You have purchased a $5 mathrm{oz}$ bar of gold ( $100 %$ pure), at a cost of

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You have purchased a $5 \mathrm{oz}$ bar of gold ( $100 %$ pure), at a cost of $\$ 400 / \mathrm{oz}$. Because the bar was weighed in air, you conclude that you got a bargain, because its true mass is greater than $5 \mathrm{oz}$ due to the buoyancy of air. If the true density of the gold is $1.9000 \mathrm{~g} / \mathrm{cm}^{3}$, what is the actual value of the bar based upon its true mass?

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