The least common denominator for the question you have supplied me with is 10. The least common multiple of the denominators, 5 and 10, is 10, making the LCD 10.

4 0

3 years ago

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

Radda [10]

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.

3 0

3 years ago

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What is the math for 4×(5+2) ?

Rzqust [24]

Answer:

Step-by-step explanation:

since the 5+2 is in parenthesis(don't know how to spell it its these things >( ) if you didn't know) you have to do 5+2 1st so thats 7 then you do 4*7 which is 28

8 0

2 years ago

What is the function rule for the following situation? Rex paid $20 for a membership to the pool and pays $300 each time he goes

asambeis [7]

f(x)=20+300x

Also, Rex should find a different pool because that fee is ridiculous.

8 0

2 years ago