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dimaraw [331]
2 years ago
6

Help help help help help help help help

Mathematics
2 answers:
miss Akunina [59]2 years ago
5 0

The answer is 156.00

pishuonlain [190]2 years ago
3 0

Answer:

helpful links below for the first time

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A fence must be built to enclose a rectangular area of 20,000 ft^2. Fencing material costs $4 per foot for the two sides facing
Marysya12 [62]

The cost of the least expensive fence is $3200

Step-by-step explanation:

The given is:

  • A fence must be built to enclose a rectangular area of 20,000 ft²
  • Fencing material costs $4 per foot for the two sides facing north and south and ​$8 per foot for the other two sides

We need to find the cost of the least expensive fence

Assume that the length of each side opposite to North or South is x feet and the length of each other sides  is y feet

∵ The length of the rectangle = x feet

∵ The width of the rectangle = y feet

∵ The rectangular area is 20,000 ft²

- Area of a rectangle = length × width

∴ x × y = 20,000

- Divide both sides by x to find y in terms of x

∴ y=\frac{20,000}{x}

The fence's length is equal to the perimeter of the rectangular area

∵ Perimeter of the rectangle = 2 length + 2 width

∴ Perimeter of the rectangle = 2x + 2y

∵ Fencing material costs $4 per foot for the two sides facing

   North and South

∴ x costs $4 per foot

∵ The cost of the other two sides is $8 per foot

∴ y costs $8 per feet

The cost of the fence is the sum of the products of 4 , 2x and 8 , 2y

∵ The cost of the fence (C) = 4(2x) + 8(2y)

∴ C = 8x + 16y

- Substitute y by its value above

∴ C=8x+16(\frac{20,000}{x})

∴ C=8x+\frac{320,000}{x}

To find the least expensive differentiate C with respect to x and equate the answer by 0 to find the value of x

∵ \frac{320,000}{x} can be written as 320,000x^{-1}

∴ C=8x+320,000x^{-1}

∵ \frac{dC}{dx}=8(1)x^{1-1}+320,000(-1)x^{-1-1}

∴ \frac{dC}{dx}=8-320,000x^{-2}

- Equate \frac{dC}{dx} by zero

∴ 8-320,000x^{-2}=0

∵ -320,000x^{-2}=-\frac{320,000}{x^{2}}

∴ 8-\frac{320,000}{x^{2}}=0

- Subtract 8 from both sides

∴ -\frac{320,000}{x^{2}}=-8

- Multiply both sides by x²

∴ - 320,000 = - 8x²

- Divide both sides by -8

∴ 40,000 = x²

- Take √  for both sides

∴ 200 = x

Substitute x in the equation of C to find the least cost of fence

∵ C=8(200)+\frac{320,000}{(200)}

∴ C = 1600 + 1600

∴ C = 3200

The cost of the least expensive fence is $3200

Learn more:

You can learn more about the differentiation in brainly.com/question/4279146

#LearnwithBrainly

5 0
2 years ago
Bobbie wants to make $2.00 using dollars ,half dollars , and quarters.how Many different ways can she make $2.00?
TEA [102]
70. Bobbie wants to make 2.00 dollars using dollars with the value of half dollars and quarters. Now, how many way he can do it? => half dollars = 0.5 => quarter dollars = 0.25 Possible ways: => 0.5 + 0.5 + 0.5 + 0.5 = 2 dollars (4 half dollars) => .25 + .25 + .25 +. 25 + .25 + .25 + .25 + .25 = 2 dollars (8 quarter dollars) => 0.5 + 0.5 + 0.25 + 0.25 + 0.25 + 0.25 = 2 dollars => 0.5 + 0.5 + 0.5 + 0.25 + 0.25 = 2 dollars => 0.5 + 0.25 + .25 + .25 + .25 + .25 + .25 = 2 dollars
3 0
3 years ago
HELLO. I NEED HELP ON A HANDFUL OF QUESTIONS. PLEASE HELP. ​
galben [10]

Question 7: $3945

78,900÷100×5= 3,945

or 789,00×0.05= $3,945

Question 8: I think it may be $675.46 ( but I'm not sure)

$1010 is her annual insurance premium so to find one month we need to divide $1010 by 12

$1010÷12= $84.20

also her annual real estate tax is $938 and to find one month we need to divide this by 12 as well.

$938÷12=$78.20

and in order to find out her combined monthly payment we need to add them all together

$513.12+$84.16+$78.16= $675.46

Question 9: is False

Question 10: I don't know

Hope this helps

5 0
3 years ago
Please help me I got it wrong and I need to correct it
Scorpion4ik [409]
The answer is correct , 5/8 is greater than 3/8 (:
Mark as brainliest please
7 0
3 years ago
a large basket of apples weighed 10 2/3lb. if the weight of the basket was 1 1/4lb, how much did the apples weigh?
dolphi86 [110]

A large basket of apples weighed 10 2/3lb

Basket was 1 1/4lb

Apples weigh = 10 2/3 - 1 1/4

Apples weigh = 10 8/12 - 1 3/12

Apples weigh = 9 5/12

Answer

Apples weighed 9 5/12 lbs

7 0
3 years ago
Read 2 more answers
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