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iren [92.7K]
3 years ago
11

You received a score of 3.4 on your annual review. Merit increases are given out starting at .5% at a score of 2.6 and it goes u

p 1% every .4 points."
Mathematics
1 answer:
Anna35 [415]3 years ago
7 0

The merit increase will be 2.5%

Step-by-step explanation:

The score received for annual review is 3.4 and the merit increases are starting at 0.5% at a score of 2.6 and goes up 1% every 0.4 points.

Now, subtracting

3.4-2.6=0.8

And this is exactly 2 times of 0.4 points.

Hence, the merit increase will be 0.5%+1%+1%=2.5%

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Solve by substitution or elimination<br> 4X – 3y = 7<br> 4x + y = 11
Simora [160]

Answer:

(5/2 , 1)

Step-by-step explanation:

4X – 3y = 7

4x + y = 11

———————

Multiply a -1 to the bottom equation to get the 4x as a negative so it cancels out.

4x - 3y = 7

-4x - y = -11

——————

-4y = -4

Divide by -4

y = 1

Substitute the value of y into one of the equations and solve

4x - 3(1) = 7

4x -3 = 7

4x = 10

Divide by 4

X = 10/4

Simplify by dividing by 2

x = 5/2

Therefore the answer is (5/2, 1 )

8 0
3 years ago
What is 0.6 repeating as a decimal?
Elden [556K]
You just Said it it's 0,6666666666...
4 0
3 years ago
Read 2 more answers
£70 is divided between Natasha, Richard &amp; Stephen so that Natasha gets twice as much as Richard, and Richard gets three time
Korvikt [17]

The share of Natasha is £ 42

<em><u>Solution:</u></em>

£70 is divided between Natasha, Richard & Stephen

Total amount = 70

Let the share of natasha be "x"

Let the share of richard be "y"

Let the share of stephen be "z"

Natasha gets twice as much as Richard

x = 2y ------ eqn 1

Richard gets three times as much as Stephen

y = 3z

z = \frac{y}{3} ----- eqn 2

Total amount = 70

share of natasha + share of richard + share of stephen = 70

x + y + z = 70

Substitute eqn 1 and eqn 2

2y + y + \frac{y}{3} = 70\\\\\frac{6y+3y+y}{3} = 70\\\\10y = 210\\\\y = 21

Substitute y = 21 in eqn 1

x = 2y = 2(21) = 42

x = 42

Thus natasha gets £ 42

6 0
3 years ago
The owner of a bike shop would like to analyze the sales data to determine if the business is growing, declining, or remaining f
igomit [66]

The sales growth is = $25,000

<h3>The analysis of sales data</h3>

The revenue generated from a business like that of the owner of a bike shop is by multiplying the number of sales and the sales price or average service price.

The sales Revenue for Last Year =$125,000

The Sales Revenue for Current Year = $150, 000

Therefore the sales growth can be gotten by subtracting the current year from the previous year. Which is,

$150, 000 - $125,000 = $25,000

Learn more about revenue here:

brainly.com/question/25623677

7 0
2 years ago
Read 2 more answers
here is an equation that is true for all values of x:5(x+2)=5x+10. Elena saw this equation and says she can tell 20(x+2)=4(5x+10
Trava [24]

Elena is wrong, because the two sides of equation are not equal for all values of x

Step-by-step explanation:

An equation of x is true for all values of x when the left hand side

is equal to the right hand side

To prove that an equation is true for all values of x do that

  • Simplify the left hand side and the right hand side
  • Solve the equation to find x, you will find the x in the left hand side is equal to x in the right hand side, so they canceled each other, and the numerical terms in the two sides equal each other, that means the equation is true for any values of x

Lets check that with given equation 5(x + 2) = 5x + 10

∵ 5(x + 2) = 5x + 10

- Simplify the left hand side

∵ 5(x) + 5(2) = 5x + 10

∴ 5x + 10 = 5x + 10

- Subtract 5x from both sides

∴ 10 = 10

∵ L.H.S = R.H.S

∴ The equation is true for all values of x

Lets do that with Elena's equation

∵ 20(x + 2) = 4(5x + 10) + 31

- Simplify the two sides of the equation

∵ 20(x) + 20(2) = 4(5x) + 4(10) + 31

∴ 20x + 40 = 20x + 40 + 31

- Add like terms in the right hand side

∴ 20x + 40 = 20x + 71

- Subtract 20x from both sides

∴ 40 = 71 ⇒ and that not true

∵ L.H.S ≠ R.H.S

∴ The equation is not true for all values of x

Elena is wrong, because the two sides of equation are not equal for all values of x

Learn more:

You can learn more about the equations in brainly.com/question/11306893

#LearnwithBrainly

5 0
3 years ago
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