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3 years ago

9

Jeff subscribed to cable for 75.00 a month and 140.00 installation andrew has another cable co. For 20.00 installation and 90.00

a month. In how many months will we be paying the same amount for their service.? And what will be the amount they pay?

1 answer:

lilavasa [31]3 years ago

7 0

8 months; $740

75x+140=90x+20
Find x then plug it in to find the cost

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A rectangular box with a volume of 272ft^3 is to be constructed with a square base and top. The cost per square foot for the bot

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Given that, a rectangular box with volume of 272 cubic ft.

Assume height of the box be h and the length of one side of the square base of the box is x.

Area of the base is = $(x\times x)$

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The volume of the box is = area of the base × height

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The cost to construct of the top of the box is

=area of the top ×10

$=10x^2$ cents

The cost per square foot for side is 1.5 cent.

The cost to construct of the sides of the box is

=area of the side ×1.5

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C $=30x^2+6xh$

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$C=30x^2+6x\times \frac{272}{x^2}$

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$C''=60+\frac{3264}{x^3}$

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$\Rightarrow x\approx 3$

Now $C''|_{x=3}=60+\frac{3264}{3^3}>0$

Since at x=3 , C''>0. So at x=3, C has a minimum value.

The length of one side of the base of the box is 3 ft.

The height of the box is $=\frac{272}{3^2}$

=30.22 ft.

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

7 0

3 years ago