Answer:
- <em><u>The reduction is 8.6%</u></em>
Explanation:
Call F the full monthly pension of a person retiring at 62.
If a person continues to work the pension grows at a rate of 6% per year, compounded monthly, so use the compounded growing formula:
Where r = 6 / 100 = 0.06, and t = number of years after retirement.
<u>For retirement at 65.5</u>:
<u>For retirement at 67</u>:
<u>Percent reduction of people who retire at 65.5 compared to what they would receive at 67</u>:
 
        
             
        
        
        
The line GH bisects The triangle FGI meaning it divides it into two equal parts <em>(that is the definition if bisection); </em>therefore, the angles FGH and HGI are equal: 

Now let us add 2 to both sides gives

subtracting 4x from both sides gives


Hence, x = 11.
The measure of FGH is 

(B)
The measure of HGI is 

(C)
The measure of FGI is the sum of HGI and FGH: 

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Answer
6/-11 
Step-by-step explanation:
use the slope formula m=  
 
then sub in numbers m= 
 
now subtract numerator and the denominator 
 and
    and
  this now looks like
  this now looks like   
     
 
        
             
        
        
        
 Answer:
 x = 5 or x = 1
Step-by-step explanation:
Absolute Value Equation entered :
      3|3x-9|=18 
Step by step solution :
Step 1: Rearrange this Absolute Value Equation
Absolute value equalitiy entered
      3|3x-9| = 18 
Step 2: Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is 3|3x-9|
 For the Negative case we'll use -3(3x-9) 
For the Positive case we'll use 3(3x-9) 
Step 3: Solve the Negative Case
      -3(3x-9) = 18 
Multiply
      -9x+27 = 18 
     Rearrange and Add up
      -9x = -9 
     Divide both sides by 9
      -x = -1 
     Multiply both sides by (-1)
      x = 1 
     Which is the solution for the Negative Case
Step 4: Solve the Positive Case
(3x-9) = 18 
     Multiply
      9x-27 = 18 
     Rearrange and Add up
      9x = 45 
     Divide both sides by 9
      x = 5 
     Which is the solution for the Positive Case
Step 5:  Wrap up the solution
 x=1
 x=5
Solutions on the Number Line
  
 
Two solutions were found :
 x=5
 x=1