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3 years ago

8

Charlier is cutting a 10 3/8 foot piece of wood to make shelves for his bedroom. Does Charlie have enough wood to make four shel

ves measuring 2 5/8 feet each?

1 answer:

Misha Larkins [42]3 years ago

7 0

2 5/8 × 4 = 10 1/2

Charlie does not have enough wood because 10 1/2 is also equal to 10 4/8 and Charlie only has 10 3/8

hope this helped

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Devin is collecting signatures for a petition to open a new park in her town. She needs to collect at least 1,000

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Answer:

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Step-by-step explanation:

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HELP! Consider the function represented by the graph. On a coordinate plane, a straight line with a negative slope begins on the

ch4aika [34]

Answer:

{ x | x ≥ 0 }

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3 years ago

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The function t relates the age of a plant fossil in years to the percentage c of carbon remaining in the fossil relative to when

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2 years ago

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Given the weekly demand curve of a local wine producer is p= 50-0.1q, and that the total cost function is c= 1500+ 10q, where q

Mamont248 [21]

Answer:

Step-by-step explanation:

From the given information:

a) To express the weekly profit as a function of price

Cost =C(q) = 1500 + 10q

Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²

Revenue = 50q - 0.1q²

Weekly profit = Revenue - Cost

P(q) = (50q -0.1q²) - (1500 + 10q)

P(q)= -0.1 q² + 40 q - 1500

However, q = 500 - 10 p using p = 50 − 0.1q

P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500

P= -10 p² + 600 p - 6500

b)

The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0

P' = 0

= -20p+600 = 0

20p = 600

p = 600/20

p = $30

c)

The maximum profit that can be made by the producer is:

P= -10(30)² + 600(30) - 6500

P = - 9000 + 18000 - 6500

P = $2500

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3 years ago