Answer:
[tex]\$ 3.14\times 10^{12}[/tex] is the total worth of this quantity of gold.
Explanation:
Estimated mass of gold =M = [tex]8.0\times 10^4 tons[/tex]
1 troy ounce = 31.103 g
1 ton = 907185 g
1 g= [tex]\frac{1}{907185} ton[/tex]
[tex]31.103 g= 31.103\times \frac{1}{907185} ton=3.4285\times 10^{-5} ton[/tex]
1 troy ounce =[tex] 3.4285\times 10^{-5}ton[/tex]
[tex]1 ton = \frac{1}{3.4285\times 10^{-5}}\text{troy ounce}[/tex]
[tex]=2.9167\times 10^4 \text{troy ounce}[/tex]
M = [tex]8.0\times 10^4 tons=8.0\times 10^4\times 2.9167\times 10^4 \text{troy ounce}[/tex]
M = [tex]2.333\times 10^{9} [/tex] troy ounces
Cost of 1 troy ounce gold = $1350
Cost of [tex]2.333\times 10^{9} [/tex] troy ounces of gold =
[tex] \$1350\times 2.333\times 10^{9} =\$ 3.14\times 10^{12}[/tex]
