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Levart
7 days ago
15

An employee receives a pay increase from $35,000 per year to $37,500 per year. Calculate the percent increase. Round to the near

est tenth of a percent.
Mathematics
2 answers:
Leona [4.1K]7 days ago
8 0

Answer:

The employee's salary has increased by 7.14%.

Step-by-step explanation:

Provided:

The employee's original salary = $35,000 annually

The new salary of the employee = $37,500 annually

Let X denote the salary percentage increase.

Thus, X = \frac{increase salary - initial salary}{initial salary} × 100

Or, X = \frac{$37,500 - $35,000}{$35,000} × 100

Or, X = \frac{$2,500}{$35,000} × 100

Therefore, X = 0.0714 × 100 = 7.14%

Thus, the percentage increase in the employee's salary is 7.14%.

Leona [4.1K]7 days ago
7 0

Answer:

The salary increase percentage is 7.14%.

Step-by-step explanation:

An employee's pay rose from $35,000 to $37,500 per year. Hence, the initial pay was $35,000 per year.

The new pay the employee gets is $37,500.

Salary increase =

New pay per year - Previous pay per year, leading to:

Salary increase = 37,500 - 35,000

= $2500

The percent increase = Salary increase / Previous pay per year × 100, resulting in:

2500/35000 × 100

7.14%

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Point P is in the interior of ∠OZQ. If m∠OZQ = 125 and m∠OZP = 62, what is m∠PZQ?
tester [3895]

Response:

63°

Detailed explanation:

If point P lies within ∠OZQ, it holds that ∠OZQ equals the sum of ∠OZP and ∠PZQ. Given m∠OZQ = 125 and m∠OZP = 62, we can find m∠PZQ by substituting the known angle values into the aforementioned equation as illustrated;

∠OZQ = ∠OZP + ∠PZQ.

125 = 62 + ∠PZQ.

We subtract 62 from each side;

125 - 62 = 62 + ∠PZQ - 62

63 = ∠PZQ

Thus, the angle m∠PZQ measures 63°

3 0
12 days ago
Which statement is true about the function f(x)= StartRoot negative x EndRoot?
Leona [4145]

Answer:

The domain includes all real numbers less than or equal to zero.

Step-by-step explanation:

Given the function:

f(x)=\sqrt{-x}

The radicand (expression under the square root) must be non-negative:

-x \geq 0

Solving for x:

Multiplying both sides by -1 reverses inequality:

x\leq 0

Thus, the domain is (-∞, 0].

All real numbers up to and including zero.

The function's range corresponds to [0, ∞).

f(x)\geq 0

Refer to the included diagram for clearer visualization.

All real numbers from zero upward.

Evaluating each statement:

Case 1) The domain is all real numbers.

This is incorrect because the domain is constrained to values less than or equal to zero.

Case 2) The range is all real numbers.

This is also false since the output values are zero or positive only.

Case 3) The domain consists of all real numbers less than or equal to zero.

This is correct.

Case 4) The range is all real numbers less than or equal to zero.

This is false as the range is from zero upwards.

4 0
14 days ago
Read 2 more answers
A lab technician has to fill the tank given below. <br> Find it’s volume .
lawyer [3979]

Answer:

El volumen del cilindro mostrado en la figura es de 628 metros cúbicos

Explicación paso a paso:

La figura proporcionada se refiere a un cilindro

La altura del cilindro = h = 8 metros

El radio de la base del cilindro = r = 5 metros

Ahora, definamos el volumen del cilindro = V m³

Por lo tanto, el volumen del cilindro está dado por V = \pi×r²×h

donde r es el radio de la base

y h es la altura del cilindro

El valor de \pi = 3.14

Así que, V = \pi × r² × h

O, V = 3.14 × (5)² × 8

O, V = 3.14 × 25 × 8

o, V = 628 m³

Así que, el volumen del cilindro es V = 628 m³

Por lo tanto, el volumen del cilindro mostrado en la figura es de 628 metros cúbicos

6 0
3 days ago
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Leona [4145]
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3/12 = (40 - x) / 40
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10 = 40 - x
10 - 40 = -x
-30 = -x
30 = x <=== percentage decrease from 40 to 30
8 0
9 days ago
Vannorman Corporation processes sugar beets in batches. A batch of sugar beets costs $78 to buy from farmers and $18 to crush in
zzz [4002]

Answer:

The outcomes are listed below.

Step-by-step explanation:

Only the differential costs will be considered. Therefore, the costs associated with sugar beets and their processing are not relevant to the decision.

Beet fiber:

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Continued processing yields = 57 - 16= $41

It is more favorable to further process the beet fiber.

Beet juice:

Sold as is for $39

Continued processing yields = 84 - 22= $62

Continuing the processing of beet juice is also more advantageous.

7 0
7 days ago
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