Owning a small and successful business isn't easy! There is a monthly cost of shipping supplies and

Mathematics

1 answer:

andriy [413]3 years ago

7 0

Answer:

$C(x)=24,000+19,200x$

Step-by-step explanation:

<u>Mathematical Modeling</u>

To model a real-life situation, a mathematical model can be constructed in such a way it accurately represents the variables measured in the system.

This problem requires to build a model for the yearly cost of a small and successful business.

The first data is the fixed monthly cost or the money the owner must pay regardless of the number of employees he hires. This cost includes shipping supplies and products for $2,000. To operate for a full year, the fixed cost is 12*$2,000=$24,000.

The other component of the cost function is the variable cost of x employees. Given each employee costs $1,600 each month, having x employees cost 1,600x each month. For a full year, the variable cost will be

12*1,600x=19,200x.

We finally form the total cost function:

$\boxed{C(x)=24,000+19,200x}$

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Given: AB = 12

Alexxx [7]

In proving that C is the midpoint of AB, we see truly that C has Symmetric property.

<h3>What is the proof about?</h3>

Note that:

AB = 12

AC = 6.

BC = AB - AC

= 12 - 6

So, AC, BC= 6

Since C is in the middle, one can say that C is the midpoint of AB.

Note that the use of segment addition property shows: AC + CB = AB = 12

Since it has Symmetric property, AC = 6 and Subtraction property shows that CB = 6

Therefore, AC = CB and thus In proving that C is the midpoint of AB, we see truly that C has Symmetric property.

See full question below

Given: AB = 12 AC = 6 Prove: C is the midpoint of AB. A line has points A, C, B. Proof: We are given that AB = 12 and AC = 6. Applying the segment addition property, we get AC + CB = AB. Applying the substitution property, we get 6 + CB = 12. The subtraction property can be used to find CB = 6. The symmetric property shows that 6 = AC. Since CB = 6 and 6 = AC, AC = CB by the property. So, AC ≅ CB by the definition of congruent segments. Finally, C is the midpoint of AB because it divides AB into two congruent segments. Answer choices: Congruence Symmetric Reflexive Transitive

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2 years ago

Maria created a graph of B(t), the temperature over time. For the interval between t = 3 and t = 7, the average rate of change i

Andrew [12]

Answer:

C. The temperature was 32 degrees higher when t = 7 than when t = 3

Step-by-step explanation:

cause i big brain

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