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leonid [27]
3 years ago
6

6. As part of their employee benefits, all workers at Light and Power Electric Company

Mathematics
1 answer:
Semenov [28]3 years ago
8 0

Answer:

  $1769.06

Step-by-step explanation:

The sum of Mia's three highest salaries is ...

  $92,000 +94,800 +96,250 = $283,050

so the average is ...

  $283,050/3 = $94,350

Her pension is then ...

  0.01875 × $94,350 = $1769.06

_____

<em>Additional comment</em>

This is equivalent to the total of those salaries, divided by 160.

  T/3 × 0.01875 = T × (0.01875/3) = T × 0.00625 = T/160

Sometimes, there are simpler ways to calculate things like this.

You might be interested in
WILL MARK BRAINLEST
chubhunter [2.5K]

Answer:

D (6, 21)

Step-by-step explanation:

Since the ratio of the corresponding values of x and y given in the table is 2 : 7

So, 6/ 21 = 2/7 = 2: 7

Thus, D (6, 21) is the correct answer.

4 0
3 years ago
In the first week
FromTheMoon [43]

The percent change in the number of people who went to the pool

between the first  and last week is 10% less

Step-by-step explanation:

The given is:

  • In the first week  of July, a record 1,060 people went to the local  swimming pool
  • In the second week, 105 fewer  people went to the pool
  • In the third week, 135  more people went to the pool than in the second  week
  • In the fourth week, 136 fewer people  went to the pool than in the third week

We need to find the percent change in the number of  people who

went to the pool between the first  and last weeks

∵ There were 1060 people in the 1st week

∵ There were 105 fewer people in the 2nd week

∴ The number of people in the 2nd week = 1060 - 105 = 955

∴ There were 955 people in the 2nd week

∵ There were 135 more people in the 3rd week than the 2nd week

∵ There were 955 people in the 2nd week

∴ The number of people in the 3rd week = 955 + 135 = 1090

∴ There were 1090 people in the 3rd week

∵ There were 136 fewer people in the 4th week than in the 3rd week

∵ There were 1090 people in the 3rd week

∴ The number of people in the 4th week = 1090 - 136 = 954

∴ There were 954 people in the 4th week

Let us find the change from 1st week to last week

∵ There were 1060 people in the 1 st week

∵ There were 954 people in the last week

∴ The change = 1060 - 954 = 106

∵ Percent change = \frac{Change}{Original} × 100%

∴ Percent change = \frac{106}{1060} × 100%

∴ Percent change = 10%

The percent change in the number of people who went to the pool

between the first  and last week is 10% less

Learn more:

You can learn more about percentage in brainly.com/question/12501490

#LearnwithBrainly

8 0
2 years ago
Solve the equation 3/4 X+-2X=-1/4+1/2X+5​
Vaselesa [24]

Answer:

x = -19/7 = -2.714

Step-by-step explanation:

Step  1  :

           1

Simplify   —

           2

Equation at the end of step  1  :

   3             1   1

 ((—•x)-2x)-(((0-—)+(—•x))+5)  = 0

   4             4   2

Step  2  :

           1

Simplify   —

           4

Equation at the end of step  2  :

   3             1  x

 ((—•x)-2x)-(((0-—)+—)+5)  = 0

   4             4  2

Step  3  :

Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

     The left denominator is :       4

     The right denominator is :       2

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 1 2

Product of all

Prime Factors  4 2 4

     Least Common Multiple:

     4

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 1

  Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      -1

  ——————————————————  =   ——

        L.C.M             4

  R. Mult. • R. Num.      x • 2

  ——————————————————  =   —————

        L.C.M               4  

Adding fractions that have a common denominator :

3.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-1 + x • 2     2x - 1

——————————  =  ——————

    4            4  

Equation at the end of step  3  :

   3                 (2x - 1)    

 ((— • x) -  2x) -  (———————— +  5)  = 0

   4                    4        

Step  4  :

Rewriting the whole as an Equivalent Fraction :

4.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  4  as the denominator :

        5     5 • 4

   5 =  —  =  —————

        1       4  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

(2x-1) + 5 • 4     2x + 19

——————————————  =  ———————

      4               4  

Equation at the end of step  4  :

   3                (2x + 19)

 ((— • x) -  2x) -  —————————  = 0

   4                    4    

Step  5  :

           3

Simplify   —

           4

Equation at the end of step  5  :

   3                (2x + 19)

 ((— • x) -  2x) -  —————————  = 0

   4                    4    

Step  6  :

Rewriting the whole as an Equivalent Fraction :

6.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

         2x     2x • 4

   2x =  ——  =  ——————

         1        4  

Adding fractions that have a common denominator :

6.2       Adding up the two equivalent fractions

3x - (2x • 4)     -5x

—————————————  =  ———

      4            4

Equation at the end of step  6  :

 -5x    (2x + 19)

 ——— -  —————————  = 0

  4         4    

Step  7  :

Adding fractions which have a common denominator :

7.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-5x - ((2x+19))     -7x - 19

———————————————  =  ————————

       4               4    

Step  8  :

Pulling out like terms :

8.1     Pull out like factors :

  -7x - 19  =   -1 • (7x + 19)

Equation at the end of step  8  :

 -7x - 19

 ————————  = 0

    4    

Step  9  :

When a fraction equals zero :

9.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 -7x-19

 —————— • 4 = 0 • 4

   4  

Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -7x-19  = 0

Solving a Single Variable Equation :

9.2      Solve  :    -7x-19 = 0

Add  19  to both sides of the equation :

                     -7x = 19

Multiply both sides of the equation by (-1) :  7x = -19

Divide both sides of the equation by 7:

                    x = -19/7 = -2.714

One solution was found :

                  x = -19/7 = -2.714

Processing ends successfully

plz mark me as brainliest :)

8 0
3 years ago
Solce for y 5×+y=-10
horrorfan [7]

Answer:x =2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
if Lylah completes the square for f(x)=x squared -12x+7 in order to find the minimum she must write f(x) in the general form f(x
abruzzese [7]

Answer:

A. 6

Step-by-step explanation:

f(x) = x² − 12x + 7

To complete the square, we first factor the leading coefficient to make it 1 (which it already is).

Then, we take half the second coefficient, square it, and then add to both sides.  So (-12/2)² = (-6)² = 36.

f(x) + 36 = x² − 12x + 36  + 7

Then we factor the perfect square:

f(x) + 36 = (x − 6)² + 7

Then solve for f(x) by subtracting and simplifying:

f(x) = (x − 6)² + 7 − 36

f(x) = (x − 6)² − 29

So the value of a is 6.

6 0
3 years ago
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