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Andre45 [30]
3 years ago
11

A large employer gives each new hire an aptitude test, which is scored from 1 to 20. Let T be a worker's score on the test. The

firm then pays the new worker a wage of w = 0.6T + 0.4G where G is the average test score for the worker's gender-16 for women; 12 for men. How much more is a woman paid than a man when both scored a 10 on the test?
Mathematics
1 answer:
MatroZZZ [7]3 years ago
4 0

Answer:

A woman paid 1.6 more than a man when both scored a 10 on the test.

Step-by-step explanation:

Let T be a worker's score on the test.

The firm then pays the new worker a wage of

w=0.6T+0.4G

where G is the average test score for the worker's gender 16 for women; 12 for men.

We need to find how much more is a woman paid than a man when both scored a 10 on the test.

The wage of a woman who scored 10 on the test is

w_1=0.6(10)+0.4(16)

w_1=6.0+6.4=12.4

The wage of a man who scored 10 on the test is

w_2=0.6(10)+0.4(12)

w_2=6.0+4.8=10.8

The difference between wages is

w_1-w_2=12.4-10.8=1.6

Therefore a woman paid 1.6 more than a man when both scored a 10 on the test.

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viva [34]

Answer:

n=9

Step-by-step explanation:

You use reverse PEMDAS.

First you would divide by 3 on both sides. This should give you:

n²=81

Then you would find \sqrt{81}. Which is 9.

8 0
3 years ago
A real estate sales agent receives a salary of $250 per week plus a commission of 2% of sales.Write an equation that gives the w
lisabon 2012 [21]

The equation y=0.02x+250 gives the weekly income y in terms of sales x.

Step-by-step explanation:

Given,

Weekly salary of real estate agent = $250

Commission rate = 2%

Let,

x be the sales per week.

y be the total weekly income.

Amount of commission = 2% of sales per week

Amount of commission = \frac{2}{100}*x

Amount of commission = 0.02x

Total weekly income = Amount of commission + Weekly salary

y=0.02x+250

The equation y=0.02x+250 gives the weekly income y in terms of sales x.

Keywords: equation, percentage

Learn more about percentages at:

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3 0
3 years ago
Cedric and doug each had an equal amount of money. After cedric spent $35 and doug spent $28, the ratio of cedrics money to doug
uysha [10]

Answer:

Each of them had $49 at first.

Step-by-step explanation:

Given:

Cedric and Doug each had an equal amount of money.

Let the number of money they had at first be x

Cedric spent = $35

Doug spent = $28

Cedric Money left = x-35

Doug Money left = x-28

the ratio of Cedric money to Doug money was 2:3

Hence the expression can be made as;

\frac{x-35}{x-28}=\frac{2}{3}

Now by cross multiplication method we get;

3(x-35)=2(x-28)

Now we will use distributive property to elaborate the same;

3x-105=2x-56

Combining common terms we get;

3x-2x=105-56

Using Subtraction property we get;

x= 49

Hence $49 they each had at first.

8 0
3 years ago
Write an equation for a parabola with a focus of (1,-2) and a directrix of y=6
FinnZ [79.3K]

Answer:

y = - \frac{1}{16}(x - 1)² + 2

Step-by-step explanation:

Any point (x, y) on the parabola is equidistant from the focus and the directrix.

Using the distance formula

\sqrt{(x-1)^2+(y+2)^2^} = | y - 6 |

Square both sides

(x - 1)² + (y + 2)² = (y - 6)² ( expand the factors in y )

(x - 1)² + y² + 4y + 4 = y² - 12y + 36 ( subtract y² - 12y from both sides )

(x - 1)² + 16y + 4 = 36 ( subtract 4 from both sides )

(x - 1)² + 16y = 32 ← subtract (x - 1)² from both sides )

16y = - (x - 1)² + 32 ( divide all terms by 16 )

y = - \frac{1}{16} (x - 1)² + 2

8 0
3 years ago
Which of the following statements does not describe the structure of an atom? (3 points)
Vikentia [17]

Answer: letter D. Most of the mass of an atom comes from elctron cloud

Step-by-step explanation: your welcome and have a good day

6 0
2 years ago
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