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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:

The reduction is 8.6%

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.

For retirement at 65.5:

t = 65.5 - 62 = 3.5

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

For retirement at 67:

t = 67 - 62 = 5

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

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

$(1.349F-1.233F)\times 100/(1.349F)=8.6\%$

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 (that is the definition if bisection); 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

$-x=-11$ $x=11.$

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:

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

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