Austin Moore has been working in a factory for 28 years. He is preparing to retire. His pension is calculated on the average of his last 3 years’ salaries where he earned $48,592, $47,590, and $47,710. His employer will give him 1.8% of that average for each year he worked. Calculate his pension.

Answer:

(-2,8)

Step-by-step explanation:

8x + 9y=56

-9x + y = 26​

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-9x + y = 26​

    +9x = +9x

y = 9x + 26

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8x + 9(9x+26) = 56    <-- substitute for y from above

8x + 81x + 234 = 56

      89x + 234 = 56

               - 234 = - 234

                  89x = - 178

                      x = -2        <--- we got the x value!!

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-9x + y = 26​

-9 (-2) + y = 26    <-- substitute for x from above

18 + y = 26

   - 18 = - 18

      y = 8    <-- we got the y value!!

Answer:

25ft

Hoped this helped!

Answer:

A.

2d3 – 7d2 – 103d + 36

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

integer rule = when a + and - comes it is indicated as - so ..

8-20 = -12

we put a minus sighnbecause 20 is the bigger number  

Answer:

-12

Step-by-step explanation:

Note the rules of the signs:

If there are two positive signs next to each other, the resulting sign will be positive. Example + (+  ).

If there is one negative sign and one positive sign directly next to each other, the resulting sign will be negative Example - (+  ) or + (-  ).

If there are two negative signs directly next to each other, the resulting sign will be positive. Example - (-  ).

In this case, there is one negative, and one positive sign. Subtract 8 with 20:

8 + (-20) = 8 - 20 = -12

-12 is your answer.

~

Answer:

do you have more info so I can help

Plane XTS and Plane VRS

A option

Answer:

d-"5"_""__"_'uvyctxycuvycycycyv

Answer:

-6552

Step-by-step explanation:

First do 3+81 = 84 then 3-81 = -78. Then multiply them together to get -6552

Answer:

（3 + 81）（3-81）=9-6561

Stepby-step explanation:

Answer: He was given 50 for his birthday

Answer:

It's b

Step-by-step explanation:

This was the first answer I gave. So I am going with it.

Step-by-step explanation:

HERE,

a=[tex]\bold{\dfrac{1}{4} }[/tex]

b=6

so,

According to the question,

[tex]\bold{16a^2-4b }[/tex]

[tex]\bold{16\times(\dfrac{1}{4})^2-4\times 6 }[/tex]

[tex]\bold{ 16\times \dfrac{1}{16}-24 }[/tex]

[tex]\bold{\cancel{16}\times \dfrac{1}{\cancel{16}}-24 }[/tex]

[tex]\bold{1-24 }[/tex]

[tex]\bold{ -23 }[/tex]

what is the question you need to ask

z=-3

Step-by-step explanation:

Answer:

z = -3

Step-by-step explanation:

10z + 3 = 9z

10z + 9z - 3

10z - 9z = -3

z = -3

Answer:

2

Step-by-step explanation:

when x=2, both lines have a y of -4

Answer:

The slope is 3!

Step-by-step explanation:

In the equation y=3x+2, whatever constant is with the variable "x" is the slope.

Hope this helps :)

Answer:

2 c ( 7c + 1 )

Step-by-step explanation:

because 14 and 2 go into the table of 2

you first find out what number in table 2 go into 14 in this case 7 times 2 and then you find what number in the time table 2 give you 2 so it's 2 times 1. because it's c squared you can't not put both c inside due that would not be factorizing due that it's common and it does not have to be common.

so the answer will be 2c(7c+1)

Answer:

The answer should be (-4,2)

Step-by-step explanation:

Answer: 1.26

Step-by-step explanation:

Since he bought a 18 gallon tank of gas with regular fuel for 55.08.

The station across the street sold regular fuel for 2.99 per gallon. A 18 gallon tank will cost:

= 18 × 2.99

= 53.82

The amount that could have been saved would be:

= 55.08 - 53.82

= 1.26

Answer:

2/3

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

0.6 is a repeating decimal in this case, so you can round it to .7

From there, you simply put it over ten because you cant break seven down any more than that in a simple fraction.

Answer:

Step-by-step explanation:

Slope of this line will be= m= (600-200)/(1-5)

m = 400/-4 = -100

Eq of line will be:

(y-y1)=m(x-x1)

y-200=-100(x-5)

y-200+100x-500=0

100x+y-700 = 0

To write equation in slope-intercept form

y=mx+c

just seperate "y"

y=-100x+700

Hey there!

The answer to your question is [tex]y = -100x + 500[/tex]

To write this equation in slope-intercept form, first we must figure out the slope. We can do this using the formula

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]:

[tex]\frac{200-600}{5-1}[/tex]

[tex]\frac{-400}{4}[/tex]

[tex]-100[/tex]

Now, we have part of the equation: y = -100x + b. We have to find b, and we can do so by plugging in one of the points into the equation, like so:

[tex]600 = -100(1) + b[/tex]

[tex]600 = -100 + b[/tex]

[tex]500 = b[/tex]

Now, we have our equation:[tex]y = -100x + 500[/tex]

Hope it helps and have an amazing day!

Answer:

13 Weeks

Step-by-step explanation:

Yoko currently has $60 so if she gains $5 each week simply 5x13=65

$60+$65=$125

Answer:

A≈254 cm^2

Step-by-step explanation:

The area of a circle is given by formula:  π r^2

π  has a constant value of  3.14  And the radius of the circle is  9 c m

the area= π r^2 = 3.14 x (9)^2 cm^2

= 3.14 × ( 81 )

= 254.34 c m^2

≈ 254 c m^2

Answer:

D. f(x)=900(0.07)^x.1,262

Step-by-step explanation:

You would have to use the P(1+r)^x

P= starting amount

R= rate of change or the percentage changed into a decimal

x= time

So it would be, 900(1+0.07)^5

calculating that you would get 1,262.3. but approximately it's 1,262.

Hope this helped

Answer:

I think it should be 11/3

♡Answer:♡

Its false, why? bc the domain of every rational function is need not be the set of real numbers

♡Step-by-step explanation:♡

♡ ∩_∩

（„• ֊ •„)♡

┏━∪∪━━━━┓

♡ good luck 。 ♡

┗━━━━━━━┛

The domain values of a rational function are not only restricted to the only set of all real numbers making the given statement false

The domain of a function is the input values of the function for which it exists.

Rational functions are function that can be written as a ratio of two functions. For example given the function f(x) = 2/x-3

The domain values are the input values x. The values of x can be any values either real numbers, integers, or even natural numbers.

This means that the domain values of a rational function are not only restricted to the only set of all real numbers making the given statement false

Learn more here: https://brainly.com/question/18486099

Answer:

25 ft

Step-by-step explanation:

The path of the golf ball is given by the equation.

[tex]y=x-0.04x^2[/tex]

The point on the ground where the ball will land on the ground is the point where [tex]y=0[/tex].

[tex]x[/tex] is horizontal distance

So

[tex]0=x-0.04x^2\\\Rightarrow x(1-0.04x)=0\\\Rightarrow 1-0.04x=0\\\Rightarrow x=\dfrac{1}{0.04}\\\Rightarrow x=25[/tex]

So, the ball will land 25 ft away from the tee.

Answer:

x = ⅘

Step-by-step explanation:

For clarity, exponents should be marked with a ^.  25x² can be written as 25x^2.

25x² = 16

divide both sides by the 25

x² = 16/25

take the square root of both sides

x = √(16/25) = √16/√25 = 4/5

Answer:

D.

Step-by-step explanation:

Because the sign is facing the number 26 It means 26 is greater so 2x-4 has to be smaller (less then or equal to 26)

Answer:

use the slope equation (y2-y1) / (x2 -x1). plug in values and solve

(-1 -7) / (9 -(-3)) (subtracting a negative is the same as adding a positive)

-8 / 12 (simplify)

m = -2/3

then, plug in one of the points and the slope into the slope-point equation.

(y - y1) = m (x - x1) (the point-slope form)

y - 7 = -2/3( x - (-3)) (plug in the slope and point 1 values, then solve)

y - 7 = -2/3x - 2 (add 7 to both sides)

y = 2/3x +5 (the answer)

Step-by-step explanation:

I hope this helps :))