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3 years ago

If the sales tax rate is 7.52% in California, then how much would you pay in Los Angeles for a coat that costs $120.00?

Mathematics

1 answer:

taurus [48]3 years ago

7 0

Answer:

$129.02

Step-by-step explanation:

$120 multiplied by the sales tax 1.0752 = $129.024; Round .024 to the nearest tenths to get .02

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X+y+2=-5 -2x-y+2=-1 x-2y-2=0 solve algebraically

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Answer:

x+y+2=-5 -2x-y+2=-1 x-2y-2=0 solve algebraically

x+y+2=-5 equation 1

-2x-y+2=-1 equation 2

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Add equation 1 + 2+ 3

x+y+2=-5 + -2x-y+2+1 + x-2y-2

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x+y+2= -4-x+y

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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2 years ago

Read 2 more answers

A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma

Gnoma [55]

Answer:

The value is $C \approx \$76$

Step-by-step explanation:

From the question we are told that

The area of the rectangular pen is $A = 24 \ yard^2$

The cost of material used to make one side is $z = \$ 6$

The cost of material used to make the other sides is $r = \$ 3$

Now , the fence to be build around the rectangular pen has four sides, the first opposite sides are equal, let assume each of the to be x yard and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

$C = zx + r (x + 2y )$

=> $C = 6x + 3(x + 2y)$

=> $C = 9x + 6y$

Now the area of the fence is mathematically represented as

$A = x* y = 24$

=> $y = \frac{24}{x}$

=> $C = 9x + 6[\frac{24}{x} ]$

=> $C = 9x + [\frac{144}{x} ]$

Now differentiating

$C' = 9 + 144* (-2) x^{-2}$

$C' = 9 - 288x^{-2}$

At minimum $C' = 0$

$9 - 288x^{-2} = 0$

$x^{-2} = 0.03125$

$x = \sqrt{\frac{1}{0.03125} }$

$x = 5.66$

Now substituting for x in the equation above to obtain minimum cost

$C = 9(5.66) + [\frac{144}{5.66} ]$

$C \approx \$76$

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3 years ago