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uysha [10]
2 years ago
12

University Theater sold 479 tickets for a play. Tickets cost $22 per adult and $14 per senior citizen. If total receipts were $7

810, how many senior citizen tickets were sold?
Mathematics
1 answer:
atroni [7]2 years ago
7 0

Answer:

341 senior tickets were sold

Step-by-step explanation:

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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
Read 2 more answers
Justify each step. <br> x/3-7=11 <br> x/3=18<br> x=6
Nina [5.8K]
This is the steps for equation solving for the value of x,
x/3-7 = 11
now 7 goes to the other side of equation by changing the sign from - to +,
x/3 = 11 + 7
x/3 = 18
now when we multiply both sides of equation with 3 or 3 goes to the other side of equation and multiply with 18 leaving x alone here for finding the value of x,
and we get, x = 54
at the end of equation we get x = 54, if the equation was in the form 3x - 7 = 11, then we will get x = 6
8 0
3 years ago
What is the inverse of the function ?
CaHeK987 [17]

The inverse of the function is h(x)=4x+48

4 0
2 years ago
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Please help!!!step by step​
lana [24]

Answer:

slope = -1/3, y-intercept (0, -3), x-intercept (-9 , 0)

Step-by-step explanation:

3 - x = 3(y + 4)

3 - x = 3y + 12

3y = 3 - x - 12

3y = -x -9

y = -1/3 x - 3

slope = -1/3

when x = 0 (y-intercept)

y = -1/3 × 0 - 3

y = -3

y-intercept (0, -3)

when y = 0 (x-intercept)

0 = -1/3 x - 3

1/3 x = -3

x = -9

x-intercept (-9 , 0)

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3 years ago
I will mark brainliest, and I am giving 40 pts.!!!
AnnZ [28]

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