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LiRa [457]
3 years ago
13

The Cool Company determines that the supply function for its basic air conditioning unit is S(p) = 10 + 0.002p3 and that its dem

and function is D(p) = 50 - 0.04p2, where p is the price. Determine the price for which the supply equals the demand.
Mathematics
2 answers:
Scorpion4ik [409]3 years ago
5 0
$21.86 is the answer that your looking for<span>
</span>
Radda [10]3 years ago
3 0

Answer: At $21.85, the supply will equal to demand.

Step-by-step explanation:

Since we have given that

Demand function is given by

D(p) = 50 - 0.04p^2, \text{where p is the price.}

Supply function is given by

S(p) = 10 + 0.002p^3

According to question, we need to find the price for which the supply equals the demand, i.e. Equilibrium price and quantity.

D(p)=S(p)\\\\50-0.04p^2=10+0.002p^3\\\\50-10=0.002p^3+0.04p^2\\\\40=\frac{2}{1000}p^3+\frac{4}{100}p^2\\\\40=\frac{2}{100}p^2(\frac{1}{10}p+2)\\\\\frac{40\times 100}{2}=p^2(\frac{1p+20}{2})\\\\\mathrm{The\:Newton-Raphson\:method\:uses\:an\:iterative\:process\:to\:approach\:one\:root\:of\:a\:function}\\\\p\approx \:21.85861\dots

So, at $21.85, the supply will equal to demand.

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19) Two of the dozen eggs in a carton are cracked. About what percent of the carton is not cracked? (Round to the nearest whole
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Answer:

83%%

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We have that 2/12=1/6 of the eggs are cracked, so 1-1/6=5/6 of the eggs are not cracked.

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3 years ago
Are all congruent rectangles similar?
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All congruent rectangles similar because comparable shapes are not always congruent.

Given that,

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Similar figures are not always congruent, whereas congruent figures are always similar. For similar figures, we simply take into account the shapes, however for congruent triangles, we take into account both the shapes and sizes of the figure.

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5 0
1 year ago
Shera is building a cabinet she is making wooden braces for the corners of the cabinet. What is the surface area
MA_775_DIABLO [31]
The correct answer for the question that is being presented above is this one: "28 in^2." 

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3 years ago
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