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harkovskaia [24]
2 years ago
6

Accompany manufacturers headbands a wireless activity tracker there are initial start up costs involved additionally the company

spends a certain amount of money to manufacture each hand band cost of manufacturing H and bands is given by the function C(h)=21H +15,000 which of the following statements are true check all that apply

Mathematics
1 answer:
taurus [48]2 years ago
7 0

Using linear function concepts, it is found that the correct statements are given by:

  • The value of 15000 represents the start-up cost.
  • The company spends $57,000 to manufacture 2000 headbands.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and it can also be interpreted as the initial value.

In this problem, the cost of manufacturing H headbands is given by:

C(h) = 21h + 15000

The y-intercept is of 15000, which means that the value of 15000 represents the start-up cost.

Manufacturing 2000 headbands, the cost is of:

C(2000) = 21(2000) + 15000 = 57000

Hence, the company spends $57,000 to manufacture 2000 headbands.

More can be learned about linear function concepts at brainly.com/question/24808124

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Two angles are complementary angles if the sum of their measure is 90 degrees. Angle A and angle B are complementary angles, and
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Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

We will be using simultaneous equations to solve this problem.

First we will establish the equations which we will be using as displayed below:

Equation No. 1 -

A + B = 90°

Equation No. 1 -

A = 2B + 12

To begin with, let's make ( A ) the subject in the first equation as displayed below:

Equation No. 1 -

A + B = 90

A = 90 - B

Next we will substitute the value of ( A ) from the first equation into the second equation and solve for ( B ) as displayed below:

Equation No. 2 -

A = 2B + 12

( 90 - B ) = 2B + 12

- B - 2B = 12 - 90

- 3B = - 78

B = - 78 / - 3

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Then we will substitute the value of ( B ) from the second equation into the first equation to solve for ( A ) as displayed below:

A = 90 - B

A = 90 - ( 26 )

A = 64°

ANSWER:

Therefore, the answer is:

A = 64°

B = 26°

Please mark as brainliest if you found this helpful! :)
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A forest covers 43,000 acres. A survey finds that 0.2% of the forest is old-growth trees. How many acres of old-growth trees are
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Step-by-step explanation:

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