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3 years ago

What is 33 1/2 of 24 and 37 1/2 of 80 and finally, what is 66 2/3 of 45

Mathematics

2 answers:

malfutka [58]3 years ago

5 0

33 1/2 of 24= 67/2(into mixed number)*(of means times)24

67/2*24=1608/2=804

37 1/2 of 80=75/2*80=6000/2=3000

66 2/3 of 45=200/3*45=9000/3=3000

igor_vitrenko [27]3 years ago

4 0

33 1/2 of 24= 67/2(into mixed number)*(of means times)24
67/2*24=1608/2=804

37 1/2 of 80=75/2*80=6000/2=3000

66 2/3 of 45=200/3*45=9000/3=3000

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Step-by-step explanation:

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2 years ago

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How do I do the problem 6(n+4)-4

Naddik [55]

Answer:

3n+10

Step-by-step explanation:

6(n+4)-4

PEMDAS

start with parenthesizes

6 x n = 6n

6 x 4 = 24

so we have

6n+24-4

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3 years ago

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

Find an equation for the perpendicular bisector of the line segment whose endpoints

TEA [102]

Answer:

y= -2x -8

Step-by-step explanation:

I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.

A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).

Let's find the gradient of the given line.

$\boxed{gradient = \frac{y1 -y 2}{x1 - x2} }$

Gradient of given line

$= \frac{1 - ( - 5)}{3 - ( - 9)}$

$= \frac{1 + 5}{3 + 9}$

$= \frac{6}{12}$

$= \frac{1}{2}$

The product of the gradients of 2 perpendicular lines is -1.

(½)(gradient of perpendicular bisector)= -1

Gradient of perpendicular bisector

= -1 ÷(½)

= -1(2)

= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.

$\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) }$