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tigry1 [53]
2 years ago
11

a stock was selling at $120 per share. a month later, it was selling at $150 per share. what is the percent increase?

Mathematics
1 answer:
goldfiish [28.3K]2 years ago
4 0

Answer:

25%

Step-by-step explanation:

The formula to find percent increase is 100 * \frac{final-initial}{|initial|}. We're given the initial value as 120 and the final value as 150.

  • 100*\frac{150-120}{|120|}
  • 100*\frac{30}{120}
  • 100*\frac{1}{4}
  • 100/4
  • 25

Therefore, the percent increase is 25%.

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m=0

Step-by-step explanation:

The slope is m=0 and the Y intercept should be b= -4 .

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Which of the following expressions is correct? Select one: a. marginal cost = (change in quantity of output)/(change in total co
Natasha_Volkova [10]

Answer:

b. average total cost = total cost/quantity of output

Step-by-step explanation:

The marginal cost is the additional cost of producing one more unit of output and it can be calculated by taking the change in total cost and dividing it by the change in quantity, its formula is:

  • <em>Marginal cost = change in total cost/ change in quantity</em>

The average total cost (sometimes referred to simply as average cost) is total cost divided by the quantity of output, its formula is:

  • <u><em>Average total cost = total cost / quantity of output</em></u>

The total cost is obtained adding together the fixed costs and the variable costs, its formula is:

  • <em>Total cost = fixed cost + variable cost</em>

The average variable cost is obtained when variable cost is divided by quantity of output, its formula is:

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I hope you find this information useful and interesting! Good luck!

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Step-by-step explanation:

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Orthogonalizing vectors. Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, a
jeka57 [31]

Answer:

\\ \gamma= \frac{a\cdot b}{b\cdot b}

Step-by-step explanation:

The question to be solved is the following :

Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if b \neq 0. Recall that given two vectors a,b  a⊥ b if and only if a\cdot b =0 where \cdot is the dot product defined in \mathbb{R}^n. Suposse that b\neq 0. We want to find γ such that (a-\gamma b)\cdot b=0. Given that the dot product can be distributed and that it is linear, the following equation is obtained

(a-\gamma b)\cdot b = 0 = a\cdot b - (\gamma b)\cdot b= a\cdot b - \gamma b\cdot b

Recall that a\cdot b, b\cdot b are both real numbers, so by solving the value of γ, we get that

\gamma= \frac{a\cdot b}{b\cdot b}

By construction, this γ is unique if b\neq 0, since if there was a \gamma_2 such that (a-\gamma_2b)\cdot b = 0, then

\gamma_2 = \frac{a\cdot b}{b\cdot b}= \gamma

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Step-by-step explanation:

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