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dmitriy555 [2]
3 years ago
7

Determine whether each statement is always, sometimes, or never true. explain your reasoning. A. |x|=|-x| _________ B. |x|=-|x|

_______ C. |-x|=-|x| _______
Mathematics
1 answer:
Dvinal [7]3 years ago
3 0
A. |-x|=|x| \Rightarrow |x|=|-x| always true

B. |x|\geq0 \quad \forall_{x\in \mathbb{R}} so |x|=-|x| is never true

C. same as B




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Natasha is a bank teller. She received a 5% raise last year and a subsequent merit raise of 3% this year. What is the accumulati
Anvisha [2.4K]

Answer:

The correct answer is C. 8.15%.

Step-by-step explanation:

Given that Natasha is a bank teller, and she received a 5% raise last year and a subsequent merit raise of 3% this year, to determine what is the accumulative or compound effect of these two raises as a percentage, the following calculation must be performed, assuming, as an example, that her starting salary was $ 2,000:

(2,000 x 1.05) x 1.03 = X

2,100 x 1.03 = X

2,163 = X

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2,163 = X

2,163 x 100 / 2,000 = X

216,300 / 2,000 = X

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108.15 - 100 = 8.15

Thus, the compound effect of both salary increases is a salary increase of 8.15%.

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2 years ago
Which of the following points is a solution of the inequality y < -|x|?
Leviafan [203]
C because it is an inequality
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3 years ago
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How many ways can 100 be written as the sum of distinct integers from the set {1, 2,..., 15}?
konstantin123 [22]

Answer:

48 ways

Step-by-step explanation:

Let me take a guess

S₁_₁₅ = (1+15)*7 + 8 = 120

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So every 20 has a corresponding 100

I wish I got it right, otherwise report it.

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Step-by-step explanation:

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