An office will increase salary to its top 8% employees on the basis of a performance score the office created for each employee. The performance score is approximately normal with mean 82.5 and standard deviation 9.25. How high must an employee score in order to qualify for increase in the salary?

Answers

Answer 1
Answer:

Answer:

An employee's score in order to qualify for increase in the salary must be higher than 95.45.

Step-by-step explanation:

Let X represent the performance score of employees.

It is provided that X follows a normal distribution with parameters μ = 82.5 and σ - 9.25.

It is provided that the office will increase salary of its top 8% employees on the basis of a performance score the office created for each employee.

That is, the probability to qualify for increase in the salary is,

P (X > x) = 0.08

⇒ P (X < x) = 0.92

⇒ P (Z < z) = 0.92

The corresponding z-value is,

z = 1.40

Compute the value of x as follows:

z=(x-\mu)/(\sigma)\n\n1.40=(x-82.5)/(9.25)\n\nx=82.5+(1.40* 9.25)\n\nx=95.45

Thus, an employee's score in order to qualify for increase in the salary must be higher than 95.45.


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Answer:

Step-by-step explanation:

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DeShawn earned $66,000 last year. If the first $30,000 is taxed at 9% and income above that is taxed at 15%, how much does DeShawn owe in tax?

Answers

The tax DeShawn has to pay is $8100

What is Tax?

Taxes are mandatory contributions levied on individuals or corporations by a government entity.

Given that, DeShawn earned $66,000 last year and the first $30,000 is taxed at 9% and income above that is taxed at 15%,

DeShawn will owe 9% tax on the first $30,000, which is $30,000×9% = $2,700.

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In total, DeShawn will owe $2,700 + $5,400 = $8,100 in tax.

Hence, The tax DeShawn has to pay is $8100

For more references on taxes, click;

brainly.com/question/16423331

#SPJ2

Hello,

I hope you and your family are doing well!

DeShawn will owe 9% tax on the first $30,000, which is $30,000 * 9% = $2,700.

The remaining $66,000 - $30,000 = $36,000 will be taxed at 15%.

So DeShawn will owe an additional $36,000 * 15% = $5,400 in tax.

In total, DeShawn will owe $2,700 + $5,400 = 8,100 in tax.

Please consider giving this 5 stars and brainliest if you find this answer helpful.

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Answers

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