You've been hired to plan a New Year's Eve party at the Governor's Mansion. The Mansion Charges: $1, 250 plus $20 per person.
1 answer:
I. 1250 + 20x = the cost of the party, x = the number of people attending.
II. If there are 300 people attending, the cost would be $7,250.
III. (attached) I'm not sure what kind of graph you're looking for, but I created a table. A represents the number of people attending. B represents the total cost.
IV. Daryl is incorrect. If there are 750 people attending, the total cost would be $16,250 because 750 multiplied by $20 (the cost per person) is $15,000. That plus $1,250 (the cost of the mansion) equals $16,250.
$16,250 does not equal $16,500.
II. If there are 300 people attending, the cost would be $7,250.
III. (attached) I'm not sure what kind of graph you're looking for, but I created a table. A represents the number of people attending. B represents the total cost.
IV. Daryl is incorrect. If there are 750 people attending, the total cost would be $16,250 because 750 multiplied by $20 (the cost per person) is $15,000. That plus $1,250 (the cost of the mansion) equals $16,250.
$16,250 does not equal $16,500.
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Answer:
V = 128π/3 vu
Step-by-step explanation:
we have that: f(x)₁ = √(4 - x²); f(x)₂ = -√(4 - x²)
knowing that the volume of a solid is V=πR²h, where R² (f(x)₁-f(x)₂) and h=dx, then
dV=π(√(4 - x²)+√(4 - x²))²dx; =π(2√(4 - x²))²dx ⇒
dV= 4π(4-x²)dx , Integrating in both sides
∫dv=4π∫(4-x²)dx , we take ∫(4-x²)dx and we solve
4∫dx-∫x²dx = 4x-(x³/3) evaluated -2≤x≤2 or too 2 (0≤x≤2) , also
∫dv=8π∫(4-x²)dx evaluated 0≤x≤2
V=8π(4x-(x³/3)) = 8π(4.2-(2³/3)) = 8π(8-(8/3)) =(8π/3)(24-8) ⇒
V = 128π/3 vu
