Area of a 158 degree sector

If total employee benefits are calculated as a percentage of their gross pay, which of the following employees receives the larg

vlabodo [156]

Consider all employees.

A.

gross pay $32,600 - 100%,
total job benefits $33,600 - x%.

Then

$\dfrac{32,600}{33,600}=\dfrac{100}{x},\\ \\32,600\cdot x=33,600\cdot 100,\\ \\x=\dfrac{33,600\cdot 100}{32,600}=\dfrac{33,600}{326} \approx 103.07.$

Employee A receives 3.07% of gross pay in employee benefits.

B.

gross pay $32,900 - 100%,
total job benefits $34,000 - x%.

Then

$\dfrac{32,900}{34,000}=\dfrac{100}{x},\\ \\32,900\cdot x=34,000\cdot 100,\\ \\x=\dfrac{34,000\cdot 100}{32,900}=\dfrac{34,000}{329} \approx 103.34.$

Employee B receives 3.34% of gross pay in employee benefits.

C.

gross pay $33,400 - 100%,
total job benefits $33,900 - x%.

Then

$\dfrac{33,400}{33,900}=\dfrac{100}{x},\\ \\33,400\cdot x=33,900\cdot 100,\\ \\x=\dfrac{33,900\cdot 100}{33,400}=\dfrac{33,900}{334} \approx 101.50.$

Employee C receives 1.50% of gross pay in employee benefits.

D.

gross pay $33,700 - 100%,
total job benefits $34,700 - x%.

Then

$\dfrac{33,700}{34,700}=\dfrac{100}{x},\\ \\33,700\cdot x=34,700\cdot 100,\\ \\x=\dfrac{34,700\cdot 100}{33,700}=\dfrac{34,700}{337} \approx 102.97.$

Employee D receives 2.97% of gross pay in employee benefits.

Answer: correct choice is B.

7 0

3 years ago

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HELPPPP PLEASE no one would answer pleasee

ycow [4]

Hey.. I know you haven’t been able to find much help, but if you are still struggling this might help.

Try to set it up as an equation for example 25x +25=10x +15 and rewrite it in standard form and see if that helps

3 0

2 years ago

h(x) = f(x) − c a horizontal shift of f, c units to the right a vertical shift of f, c units down a horizontal shift of f, c uni

iren [92.7K]

Answer:

a vertical shift of f, c units down

Step-by-step explanation:

Given:

- A function h(x) is defined as:

h(x) = f(x) − c

Find:

- The effect of "c" on the f(x) function.

Solution:

- The effect of adding or subtracting any constant to or from a given function f(x) shifts the f(x) value for all values of x by an amount "c"

- This effect can be modeled on a graph by a "vertical shift" i.e there is an increase/decrease in every "y" value by amount "c" units.

- In the case given we see that "c" units have been subtracted from original f(x).

- Meaning, all f(x) values have decreased for every value of x. This can be categorized as vertical shift of f(x) with "c" units down.

5 0

2 years ago

4. Why studying central tendency alone is insufficient and calculating dispersion is always needed in both descriptive and infer

ira [324]

Answer:

Check below for the answer and explanation.

Step-by-step explanation:

Studying the central tendency alone is not sufficient because apart from calculating the value of the central point of a group of data ( which is what the measure of central tendency does), it is important to also understand the spread of these data about the average(mean) value.The measure of dispersion will help us to know the range of error that is recorded in both descriptive and inferential statistics and this will enable the statistician to assess the validity of the data generated from the experiment performed.

A small value of standard deviation indicates that each of the values in the dataset is close to the average (mean) value.

4 0

2 years ago

In a parallelogram ABCD, angle a=70, find 2angle d

Natali [406]

Answer:

D = 110

Step-by-step explanation:

Given,

In a parallelogram ABCD,

∠A =70∘

∠A + ∠B = 180∘.. (supplementary angles)

∠B = 180∘ – 70∘ = 110∘

∠A = ∠C and ∠B = ∠D.. (Opposite angles of parallelogram)

∠A = 70∘, ∠B = 110∘, ∠C = 70∘, ∠D = 110

6 0

1 year ago

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