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3 years ago

5

My friend and her family had dinner at a restaurant. The total bill was $74. They want to leave a 15% tip for the wait staff. Ho

w much should she pay total?

1 answer:

olga_2 [115]3 years ago

6 0

She would pay $85.10 in total

74(.15)= 11.1

74+11.1= 85.10

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Given that a chain weighs 8 pounds per foot.

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Given that the weight is 8 pounds per foot.

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4 years ago

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A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the

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Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

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The volume of the can is V= $\pi r^2h$

According to the problem,

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The surface area of the base of the can is = $\pi r^2$

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The metal cost for the base is =$(2.00× $\pi r^2$ )

The lateral surface area of the can is = $2\pi rh$

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The metal cost for the base is =$(1.25× $2\pi rh$ )

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Total cost of metal is C= 2.00 $\pi r^2$ + $2.5 \pi r h$

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$\therefore C=2\pi r^2+2.5 \pi r \times \frac{25}{\pi r^2}$

$\Rightarrow C=2\pi r^2+ \frac{62.5}{ r}$

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$C'=4\pi r- \frac{62.5}{ r^2}$

Again differentiating with respect to r

$C''=4\pi + \frac{125}{ r^3}$

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$4\pi r- \frac{62.5}{ r^2}=0$

$\Rightarrow 4\pi r=\frac{62.5}{ r^2}$

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When r=1.71 cm, the metal cost will be minimum.

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