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BaLLatris [955]
2 years ago
15

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

est amount in total employee benefits?
a.
Employee A: gross pay $32,600 , total job benefits $33,600
b.
Employee B: gross pay $32,900 , total job benefits $34,000
c.
Employee C: gross pay $33,400 , total job benefits $33,900
d.
Employee D: gross pay $33,700 , total job benefits $34,700
Mathematics
2 answers:
NeX [460]2 years ago
5 0

we know that

To determine which employee has received the most in employee benefits, it is done by comparing the net amount obtained by subtracting the gross pay from the job benefits obtained.

So

case a) Employee A: gross pay $32,600 , total job benefits $33,600

33,600-32,600=1,000

Find the percentage

by proportion

\frac{32,600}{100} =\frac{1,000}{x} \\ \\ 32,600*x=1,000*100

x=3.067%

case b) Employee B: gross pay $32,900 , total job benefits $34,000

34,000-32,900=1,100

Find the percentage

by proportion

\frac{32,900}{100} =\frac{1,100}{x} \\ \\ 32,900*x=1,100*100

x=3.343%

case c) Employee C: gross pay $33,400 , total job benefits $33,900

33,900-33,400=500

Find the percentage

by proportion

\frac{33,400}{100} =\frac{500}{x} \\ \\ 33,400*x=500*100

x=1.947%

case d) Employee D: gross pay $33,700 , total job benefits $34,700

34,700-33,700=1,000

Find the percentage

by proportion

\frac{33,700}{100} =\frac{1,000}{x} \\ \\ 33,700*x=1,000*100

x=2.967%

therefore

the answer is the option

Employee B: gross pay $32,900 , total job benefits $34,000

expeople1 [14]2 years ago
3 0

Answer:

The answer Is B or employee B.

Step-by-step explanation:

Cuz like... numbers and stuff... idk (Explanation here)

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azamat

part a) draw two triangles, translating one of them to the right.

part b) Consider triangles ΔYXB and ΔYZA. In these triangles:

  • ∠Y is common, then ∠XYB≅∠ZYA (additional information that is needed);
  • ∠YXB≅∠YZA (given);
  • XY≅ZY (given).

Therefore, these two triangles have two congruent angles adjacent to congruent sides. By the ASA Postulate, ΔYXB≅ΔYZA.

ASA Postulate: If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent.

part c) flow chart proof:

\triangle YXB\cong \triangle YZA\Rightarrow

  • XY≅ZY (given);
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3 0
2 years ago
In the game of blackjack played with one​ deck, a player is initially dealt 2 different cards from the 52 different cards in the
Tpy6a [65]

We are given here that a blackjack hand consists of:

1 of the 4 aces = 4 / 52

1 of the 16 cards worth 10 points (10, jack, queen, king) = 16 / 52

 

So assuming that cards are dealt without replacement, therefore the probability of getting a blackjack hand is:

<span>P = 1st is ace * 2nd is 10 pt card + 1st is 10 pt card * 2nd is ace</span>

P = (4 / 52) * (16 / 51) + (16 / 52) * (4 / 51)

P = 0.04827 = 4.83%

 

Therefore there is a 4.83% probability to get a blackjack hand.

<span> </span>

6 0
2 years ago
The number of bacteria in a petri dish on the first day was 113 cells. If the number of bacteria increase at a rate of 82% per d
Tresset [83]

Answer:

4107 cells

Step-by-step explanation:

From the question, we have the following values:

Day 1 : 113 cells

Number of cells increases by day by 82%

Hence,

Day 2

113 × 82% = 92.66cells

Hence, Total number of bacteria cells for Day 2 = 113 + 92.66 = 205.66cells

Day 3

205.66 × 82% = 168.6412 cells

Hence, Total number of bacteria cells for Day 3 = 168.6412 + 205.66 = 374.3012 cells

Day 4

374.3012 × 82% = 306.926984 cells

Hence, Total number of bacteria cells for Day 4 = 306.926984 + 374.3012 = 681.228184 cells

Day 5

681.228184 × 82% = 558.60711088 cells

Hence, Total number of bacteria cells for Day 5 = 558.60711088 + 681.228184 = 1239.8352949 cells

Day 6

1239.8352949 × 82% = 1016.6649418 cells

Hence, Total number of bacteria cells for Day 5 = 1016.6649418 + 1239.8352949 = 2256.5002367 cells

Day 7

2256.5002367 × 82% = 1850.3301941 cells

Hence, Total number of bacteria cells for Day 7 = 1850.3301941 + 2256.5002367 = 4106.8304308 cells

Approximately to nearest whole number, the total number of bacteria cells that would be present after 7 days = 4107 cells

3 0
2 years ago
Mira picked two numbers from a bowl. The difference of the two numbers was 4, and the sum of one-half of each number was 18. The
kobusy [5.1K]

Answer:

20 and 16

Step-by-step explanation:

Let us find x and y.

x – y = 4 _____(1)

x/2 + y/2= 18___(2)

Multiply (2) by 2 and add to (1)

  x - y = 4

+<u>(x + y = 36)</u>

 <u>2x   =   40</u>

=> x = 40 / 2 = 20

From (1):

20 - y = 4

=> y = 20 - 4 = 16

The two numbers are 20 and 16.

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2 years ago
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Ierofanga [76]
The correct answer is 40 bars. 

In order to find this amount we have to find when the y values are worth the same. Since both equations are equal to y, we can set them equal to each other to find a time when the y values are the same. 

Company A = Company B
.75x = 10 + .50x ---> Now subtract .50x from both sides. 
.25x = 10 ---> Now divide both sides by .25
x = 40

When x = 40 it will cost $30 from both companies. 

3 0
2 years ago
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