Algebra 2

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

3. Write equations of two lines, one with an x-intercept but no y-intercept and one with a y-intercept but

Vesnalui [34]

X = 50 (Is parallel to the y-axis so there is no intersection point)
Y= 40 (Is parallel to the x-axis so there is no intersection point)
Both no intercept with the other

6 0

3 years ago

What is the slope of a line that passes through the points (-3,-6) and (8, 16) ?

denis-greek [22]

Answer:

slope = 2

Step-by-step explanation:

3 0

3 years ago

you are buying wood to build a gate for your backyard. if your car trunk has the following dimensions (47 inches by 33 inches by

riadik2000 [5.3K]

The longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.

<h3>How to measure diagonal of the cuboid?</h3>

The length of the diagonal of the cuboid is found out using the following formula.

$D=\sqrt{l^2+b^2+h^2}$

Here, (l) is the length of the cuboid, (w) is the width, and (h) is the height of the cuboid.

The wood has to buy to build a gate for backyard. The car trunk has the following dimensions (47 inches by 33 inches by 19.5 inches). Here, we have,