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nika2105 [10]
3 years ago
10

Suppose that Bob leaves a job that pays $100,000 per year in order to open a new sponge business. His insurance cost is $8,000,

his material cost is $15,000, his lease payments are $8,000 and his sales revenue is $120,000. Bob's economic profit is:
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
5 0

Answer:

-$11,000 is the economic profit or we can say it is a loss.

Step-by-step explanation:

The job paid Bob = $100000

The insurance cost is = $8,000

The material cost is = $15,000

The lease payments are = $8,000

The sales revenue is $120,000.

So, Bob's economic profit is: 120000-100000-8000-15000-8000=-11000

Therefore, his economic profit is -$11000.

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frez [133]
$0.87 your wages initially
4 0
3 years ago
Find values a and b that satisfy a∙〈5,-4,0〉+b∙〈2,2,-3〉=〈11,-16,-6〉.
WARRIOR [948]

The right hand side of the equation is 〈11 , -16 , 6〉

The values of a and b are a = 3 , b = -2

Step-by-step explanation:

If n . <a , b> + m . <c , d> = < x , y>, then

  • na + mc = x
  • nb + md = y

∵ a  ∙〈5 , -4 , 0〉 + b ∙ 〈2 , 2 , -3〉 = 〈11 , -16 , 6〉

- By using the rule above

∴ a(5) + b(2) = 11 ⇒ (1)

∴ a(-4) + b(2) = -16 ⇒ (2)

∴ a(0) + b(-3) = 6 ⇒ (3)

Use equation (3) to find the value of b

∵ a(0) + b(-3) = 6

∴ 0 - 3b = 6

∴ -3b = 6

- Divide both sides by -3

∴ b = -2

Substitute b in equation (1) or equation (2) to find a

∵ a(5) + b(-2) = 11

∴ 5a - 2b = 11

∵ b = 2

∴ 5a - 2(2) = 11

∴ 5a - 4 = 11

- Add 4 to both sides

∴ 5a = 15

- Divide both sides by 5

∴ a = 3

To check your answer substitute a and b in equation (2)

∵ a(-4) + b(2) = -16

∴ -4a + 2b = -16

∵ a = 3 , b = -2

∵ The left hand side is -4a + 2b = -4(3) + 2(-2) = -12 - 4 = -16

∵ The right hand side is -16

∴ L.H.S = R.H.S

∴ The values of a and b are 3 , -2

The values of a and b are a = 3 , b = -2

Learn more:

You can learn more about the equations in brainly.com/question/11306893

#LearnwithBrainly

8 0
4 years ago
X=15 is this a function how do you do it
Alexxandr [17]

9514 1404 393

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Step-by-step explanation:

The graph of this equation on an x-y plane is a vertical line. The input value x=15 maps to an infinite number of outputs (y-values). For a relation to be a function, each input can only map to one output.

  x = 15 is not a function

7 0
3 years ago
Frederic worked 46 hours last week. His hourly rate is $8.50. Federic’s gross pay for last week was $
zepelin [54]

Answer:

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Step-by-step explanation:

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What is the area of a square whose sides are 9.1 yards in length
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