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mixas84 [53]
2 years ago
15

A rectangular prism has a height of 18 millimeters. The base of the prism has an area of 25 square millimeters.

Mathematics
1 answer:
malfutka [58]2 years ago
3 0

Answer:

volume = 450 mm³

Step-by-step explanation:

Given:

  • height = 18 mm
  • area of base = 25 mm²

Volume of a rectangular prism = area of base x height

⇒ volume = 25 x 18 = 450 mm³

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A concession stand at an athletic event is trying to determine how much to sell cola and iced tea for in order to maximize reven
Cerrena [4.2K]

Solution :

Demand for cola : 100 – 34x + 5y

Demand for cola : 50 + 3x – 16y

Therefore, total revenue :

x(100 – 34x + 5y) + y(50 + 3x – 16y)

R(x,y)  = $100x-34x^2+5xy+50y+3xy-16y^2$

$R(x,y) = 100x-34x^2+8xy+50y-16y^2$

In order to maximize the revenue, set

$R_x=0, \ \ \ R_y=0$

$R_x=\frac{dR }{dx} = 100-68x+8y$

$R_x=0$

$68x-8y=100$  .............(i)

$R_y=\frac{dR }{dx} = 50-32x+8y$

$R_y=0$

$8x-32y=-50$  .............(ii)

Solving (i) and (ii),

4 x (i)    ⇒       272x - 32y = 400

     (ii)   ⇒   (-<u>)     8x - 32y = -50   </u>

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∴   $x=\frac{450}{264}=\frac{75}{44}$

     $y=\frac{175}{88}$

So, x ≈  $ 1.70      and    y = $ 1.99

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          1.99 dollars per iced ted to maximize the revenue.

Maximum revenue = $ 134.94

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3 years ago
If college tuition and fees, room and board, books, and other charges total $10,154, what is a reasonable savings goal for a fam
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3 years ago
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Andreyy89

Answer:

3/4

Step-by-step explanation:

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