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nirvana33 [79]
3 years ago
5

These are my last points plzzz i need help with this one. please give a step by step answer

Mathematics
1 answer:
Olegator [25]3 years ago
4 0

Answer:

the price for each doughnut is $1.05

Step-by-step explanation:

doughnuts = d

cookies = c

2d + 3c = $3.30

5d + 2c = $4.95

to find the answer multiply 2 with the first equation, and multiply -3 with the second equation.

4d + 6c = 3.30

-15d - 6c = -14.85

combine like terms

-11d = -11.55

divide by -11

d = 1.05

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three hundred eighty-nine billion, nine hundred thirty-six million, two hundred six thousand, seven hundred sixty-seven in stand
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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
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Answer: At $21.85, the supply will equal to demand.

Step-by-step explanation:

Since we have given that

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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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3 years ago
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An isosceles trapezoid ABCD with height 2 units has all its vertices on the parabola y=a(x+1)(x−5). What is the value of a, if p
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Answer:

a = -0.3575

Step-by-step explanation:

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The points A and B are located where

y=a(x+1)(x-5)=0

This gives

x=-1

y=5

Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e

B_x=A_x+\frac{2}{tan(60)} =-1+\frac{2\sqrt{3} }{3}

Thus the coordinates of B are:

B=(-1+\frac{2\sqrt{3} }{3},2)

Now this point B lies on the parabola, and therefore it must satisfy the equation  y=a(x+1)(x-5).

Thus

2=a((-1+\frac{2\sqrt{3} }{3})+1)((-1+\frac{2\sqrt{3} }{3})-5)

Therefore

a=\frac{2}{((-1+\frac{2\sqrt{3} }{3})+1)((-1+\frac{2\sqrt{3} }{3})-5)}

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\\ \bull\tt\dashrightarrow Diameter=2(Radius)

\\ \bull\tt\dashrightarrow Diameter=2(4.2)

\\ \bull\tt\dashrightarrow Diameter=8.2m

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