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natita [175]
3 years ago
10

Mr. Smith need to move $6 million out of the country. The dimensions of a US bill is 2.61 inches by 6.14 inches by

Mathematics
1 answer:
Nonamiya [84]3 years ago
6 0

Answer:

  47.85 ft³

Step-by-step explanation:

$6 million will be $6/$5 million = 1.2 million bills of the $5 denomination.

The volume of that is ...

  (1.2×10⁶ bills)×((2.61 in)(6.14 in)(0.0043 in)/bill)/(1728 in³/ft³)

  = 1.2×2.61×6.14×4.3/1.728 ft³ ≈ 47.85 ft³

___

The units analysis is ...

  (\text{number of bills})\cdot\dfrac{\text{volume}}{\text{bill}}}=\text{volume}

where the volume per bill is the product of the given dimensions, and the conversion to cubic feet is ...

  in³ × (ft³/in³) = ft³

where the number of cubic feet per cubic inch is 1/1728.

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To find the number of arrangements in this problem situation we must take into account the following key factors:

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According to the above, we must use the factorization of these numbers to find out the number of possibilities we have to seat them.

<h3>What is factoring?</h3>

A factorial function is a mathematical tool that is characterized by using the exclamation mark “!” behind a number. The factorial function is used to express that the number accompanied by the symbol must be multiplied by all positive integers between that number and 1.

In accordance with the above, in the problem situation that we must solve, we must use the factorial function with the possibilities of:

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Subsequently, to calculate the number of total possibilities of the entire group we must multiply the possibilities of each group and individual as shown below:

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Learn more about the factorial function in: brainly.com/question/16674303

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