Trevor’s total employment compensation is $33,500. If Trevor has no job expenses and his gross pay is $28,600, then his total employee benefits are _____% of his gross pay. a. 4.9 b. 8.5 c. 14.6 d. 17.1

Respuesta :

we know that

[tex] Total\ employment\ compensation=gross\ pay+employee\ benefits-job\ expenses [/tex]

in this problem

[tex] Total\ employment\ compensation=33,500\ dollars [/tex]

[tex] gross\ pay=28,600\ dollars [/tex]

[tex] job\ expenses=0 [/tex]

Step [tex] 1 [/tex]

Find the total employee benefits

Let

EC------> total employment compensation

EB--------> total employee benefits

GP------> gross pay

JE------> job expenses

[tex] EC=GP+EB-JE [/tex]

[tex] 33,500=28,600+EB-0\\ EB=33,500-28,600\\ EB=4,900\ dollars [/tex]

Step [tex] 2 [/tex]

Find the percentage of the total employee benefits

we know that

total employee benefits is equal to [tex] 4,900\ dollars [/tex]

gross pay is equal to [tex] 28,600\ dollars [/tex]

by proportion

[tex] \frac{28,600}{4,900} =\frac{100}{x} \\ \\ x*28,600=100*4,900\\ \\ x=\frac{100*4,900}{28,600} [/tex]

[tex] x=17.1 [/tex]%

therefore

the answer is the option

d. 17.1


Answer:  

The correct option is D. 17.1%

Step-by-step explanation:

Total employment compensation = $33500

Amount of Job expenses = $0

Gross Pay of Trevor = $28600

Benefits of Trevor = 33500 - 28600

                              = $4900

Now, We need to find Percentage of his total benefits

[tex]\implies\text{Percentage of his total benefits = }\frac{4900}{28600}\times 100\\\\ = 0.171\times 100\\\\=17.1\%[/tex]

Therefore, Trevor's total employee benefits are 17.1% of his gross pay

Hence, The correct option is D. 17.1%

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