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2 years ago

Sari has a bag containing 6 half dollars. What is the mass of half dollars in Sari's bag when half dollars weighs 11.34 grams?

1 answer:

7 0

Mass of one half dollars = 11.34g
therefore mass of six half dollars = 6*11.34g
=68.04g
Ans : mass of 6 half dollars = 68.04g

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(a)Length =2 feet

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Volume of the box $=12 ft^3\\$

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Area of the sides $=4xz$

Cost of the sides= $=\$0.10(4xz)$

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Cost of the Base $=\$0.13x^2$

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$C(x) =0.17x^2+0.13x^2+0.10(4x)(\frac{12}{x^2})\\C(x)=0.3x^2+\frac{4.8}{x} \\C(x)=\dfrac{0.3x^3+4.8}{x}$

To minimize C(x), we solve for the derivative and obtain its critical point

$C'(x)=\dfrac{0.6x^3-4.8}{x^2}\\Setting \:C'(x)=0\\0.6x^3-4.8=0\\0.6x^3=4.8\\x^3=4.8\div 0.6\\x^3=8\\x=\sqrt[3]{8}=2$

Recall: $z=\frac{12}{x^2}=\frac{12}{2^2}=3\\$

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(a)Length =2 feet

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