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Mandarinka [93]
3 years ago
10

NEED HELP ASAP WILL GIVE BRAIN

Mathematics
1 answer:
34kurt3 years ago
7 0
Im really dumb i srry!
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A company provides a monthly pension to its employees. A person retiring at 62 retires and receives a full monthly pension. If t
IRISSAK [1]

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:

  • Pension=F(1+r/12)^{12t}

Where r = 6 / 100 = 0.06, and t = number of years after retirement.

<u>For retirement at 65.5</u>:

  • t = 65.5 - 62 = 3.5

  • Pension=F(1+0.06/12)^{12\times 3.5}=1.233F

<u>For retirement at 67</u>:

  • t = 67 - 62 = 5

  • Pension=F(1+0.06/12)^{12\times 5}=1.349F

<u>Percent reduction of people who retire at 65.5 compared to what they would receive at 67</u>:

  • (1.349F-1.233F)\times 100/(1.349F)=8.6\%
8 0
3 years ago
In a previous section we looked at mixing problems in which the volume of fluid remained constant and saw that such problems giv
Juli2301 [7.4K]

Answer:

Detailed solution is given below:

3 0
3 years ago
In the digram GH bisects FGI what is the answer for C.
zhannawk [14.2K]

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:

3x-2=4x-13

Now let us add 2 to both sides gives

3x=4x-11

subtracting 4x from both sides gives

-x=-11x=11.

Hence, x = 11.

The measure of FGH is

3x-2=3(11)-2=31

(B)

The measure of HGI is

4x-13=4(11)-13=31

(C)

The measure of FGI is the sum of HGI and FGH:

\begin{gathered} \text{FGI}=\text{HGI}+\text{FGH}=31+31 \\ FGI=62^o \end{gathered}

<em />

7 0
1 year ago
What is the slope of a line with points -5,7 and 1,1
KATRIN_1 [288]

Answer

6/-11

Step-by-step explanation:

use the slope formula m= \frac{y 2-y 1}{x 2-x 1}

then sub in numbers m=\frac{7-1}{-5-1}

now subtract numerator and the denominator

7-1= 6    and

-5-6=-11  this now looks like  \frac{6}{-11}    

8 0
2 years ago
What is the solution to 3-3x + 9| = -18?
solmaris [256]

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

8 0
2 years ago
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