Answer:
15552 in^3
Step-by-step explanation:
Volume formula for a cube of side length s: V = s^3.
Then the total volume here is:
(24 in)^3 + (12 in)^3 = 15552 in^3
Answer:
Step-by-step explanation:
Let's start with the equation of the volume of a cylinder:

Where:
- r is the radius of the cylinder (r=D/2=24/2=12 cm)
- h is the high of the cylinder (h = 60 cm)
We can us partial derivatives to find the differential of this volume. So we will have:
(1)
Now:


dr is a differential of the radius, so in our case it is 0.1 cm and dh, differential of the high, is 0.1*2 cm. We multiply by 2 because we need to consider the top and the bottom of the cylinder.
Now we just need to put all of this definitions in the equation (1).
I hope it helps you!
Answer:
$40.99 | 40.99 Dollars of US
Answer:
Builtrite D should purchase the machine
Step-by-step explanation:
Cash outflow in year zero = $ 500,000 + $ 25,000 ( training cost ) + $ 30,000 ( Net working capital)
Cash outflow in year zero = $ 555,000
Terminal cash flow in year 10 = $ 150,000 + $ 30,000 ( NWC)
Terminal cash flow in year 10 = $ 180,000
Operating cash flow per year = [ Savings - expenses - depreciation ] X ( 1 - tax rate) + depreciation
Net present value = 
The Net present value of purchasing the machine = $32,071.42
Builtrite D should purchase the machine
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Question
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17x³ + (3x + 8x³<span>)
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Remove the bracket
</span>-------------------------------------
17x³ + 3x + 8x³
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Combine like terms
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25x³ + 3x
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Take out common factor
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x(25x² + 3)
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Answer: x(25x² + 3)
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