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victus00 [196]
3 years ago
12

Hiya! Can you guys help me? For all the four questions? It would mean a lot to me, thank you! I also ask if you guys can explain

the steps! Thanks. <3

Mathematics
1 answer:
Bess [88]3 years ago
6 0

Answer:

A = 28.26 cm², P = 38 units, A = 20 units², C = 43.96 units

Step-by-step explanation:

1) Our area of a circle is πr². Since our r = 3 cm, we can just substitute for r.

A = πr²

A = (3.14)(3)²

A = (3.14)(9)

A = 28.26 cm², like in your work.

2) Our formula for perimeter is 2l + 2w. We substitute for l = 12 and w = 7.

P = 2l + 2w

P = 2(12) + 2(7)

P = 24 + 14

P = 38 units

3) The formula for a triangle's area is A = \frac{1}{2}bh, so we substitute for b = 10 and h = 4.

A =  \frac{1}{2} bh

A =  \frac{1}{2} (10)(4)

A =  \frac{1}{2} (40)

A = 20 units²

4) Circumference is 2πr, and we substitute for r = 7.

C = 2πr

C = 2(3.14)(7)

C = (3.14)(14)

C = 43.96 units

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Answer:

The maximum profit of $  10277.32____ can be made when the selling price of the dog food is set to $ _34___ per bag.

Step-by-step explanation:

Profit = Revenue - Cost

P(x) = R(x) -C(x)

       = -31.72x^2 + 2,030x -( -126.96x + 26,391)

Distribute the minus sign

       = -31.72x^2 + 2,030x+126.96x - 26,391

 Combine like terms

      =   -31.72 x^2 + 2156.96 x - 26391

This is a parabola.  It is facing downwards.  The maximum profits is at the vertex ( where the max is)

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Evaluate P(x) at x=34 to determine the profit

P(34) =  -31.72 (34)^2 + 2156.96 (34) - 26391

          -36668.32+73336.64-26391

          10277.32

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Answer:

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