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:

Step-by-step explanation:

AB BC AC

(I’m not sure, If Im wrong let me knoww ❤️❤️)

Answer:

AC BA BC shortest to longest.

Step-by-step explanation:

All triangles have 180o in their interior angles. So A + B + C = 180

5x - 4 + 2x + 3 + 3x - 9 = 180      Combine the like terms on the left.

10x - 10 = 180                               Add 10 to both sides

10x - 10 + 10 = 180 + 10

10x = 190

x = 190/10

x = 19

So <A = 5x - 4 = 91

<B = 2x + 3 = 41

<C = 3x - 9 = 48

Total             180

So the largest Line is opposite 91 and it is BC

The Middle sides line is opposite 48 and it is BA

The smallest line is  opposite 41 and it is AC

AC BA BC shortest to longest.

Answer:

2x+(-7)

Step-by-step explanation:

the point 2 goes through the intercept and -7 goes through the y- intercept

Answer:

4:7  7 being to total number of marbles (part to whole ratio)

There are 16 blue marbles were in the bag before I added more.

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

The ratio of blue marbles to yellow marbles is 4 : 3.

And,  If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3.

Now,

Since, The ratio of blue marbles to yellow marbles is 4 : 3.

Hence, Number of blue marbles = 4x

Number of yellow marbles = 3x

And, If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3.

Then, We can formulate;

⇒ 4x + 5 / 3x - 3 = 7x / 3x

⇒ (4x + 5) / (3x - 3) = 7 / 3

⇒ 3 (4x + 5) = 7 (3x - 3)

⇒ 12x + 15 = 21x - 21

⇒ 15 + 21 = 21x - 12x

⇒ 36 = 9x

⇒ x = 4

Thus, The number of blue marbles = 4x

                                                      = 4 × 4

                                                      = 16

Learn more about the ratio visit:

https://brainly.com/question/169670

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Step-by-step explanation:

please where is the question

Answer:

that one seems a little bit too hard....

Answer:

1) Actual cost was $5,762.50

2) Joe's birthday is on January 1st.

Step-by-step explanation:

1) To find this, since we know they were wrong by an identical amount and one was over and the other was under, we can average the cost to find the difference between the amounts. Then we can add that difference to the lower (or subtract it from the higher) amount:

6950 - 4575 = 2375

2375 / 2 = 1187.50

4575 + 1187.50 = $5,762.50

2) Joe could turn 21 on January 1st, but was 20 on December 31st. Next year Joe would turn 22 on January 1st.

I hope this helps!

-TheBusinessMan

Answer:

AAS is an acronym for Angle-Angle-Side. It basically means that if two angles and a nonincluded side of one triangle are congruent to two  angles and the corresponding nonincluded side of a second triangle, then  the two triangles are congruent. SAS is an acronym for Side-Angle-Side. It means that if two sides and the included angle of one triangle are congruent to two  sides and the included angle of a second triangle, then the two triangles  are congruent. SSS is an acronym for Side-Side-Side. It means that if three sides of one triangle are congruent to three sides of a second  triangle, then the two triangles are congruent. ASA is an acronym for Angle-Side-Angle. It means that if two angles and the included side of one triangle are congruent to two  angles and the included side of a second triangle, then the two triangles  are congruent.

In the problem, we know that the corresponding sides of both triangles are congruent to each other, so those would be given. The third side of each triangle would also be congruent because of reflexive property. Reflexive property means that the two triangles share a line segment. So, the answer would be SSS.

Answer:

C

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

3x + 13 = 3x + 18 +1

<=> 0x = 6 (impossible!)

Answer:

zehero

Step-by-step explanation:

Answer:

30/100 X 15 = 4.50

4.50 X 4 = 18

$18

Answer:

1/3

Step-by-step explanation:

Answer:

The solution for a is a =  [tex]\frac{P-b}{2}[/tex]

Step-by-step explanation:

To solve an equation for one of its variables, do that

Let us solve the question

∵ The perimeter formula for an isosceles triangle is P = 2a + b

∵ We need to solve it for a

→ By using the first step above, subtract the two sides by b to move it

    from the right side to the left side

∵ P - b = 2a + b - b

∴ P - b = 2a

→ By using the second step above, divide both sides by 2

∵ [tex]\frac{P-b}{2}[/tex] = [tex]\frac{2a}{2}[/tex]

∴  [tex]\frac{P-b}{2}[/tex] = a

→ Switch the two sides

∴ a =  [tex]\frac{P-b}{2}[/tex]

∴ The solution for a is a =  [tex]\frac{P-b}{2}[/tex]

Answer:

The answer is 288 minutes

Answer:

7

Step-by-step explanation:

Answer:

0.62 cents per pound

Step-by-step explanation:

2.48/4

to find price per pound which is the unit price

2.48/4=0.62

brainliest appreciated

Answer:

[tex]14[/tex]

Step-by-step explanation:

We can set up the following system of equations:

[tex]\begin{cases}10d+5n=150\\d+n=22\\\end{cases}[/tex], where [tex]d[/tex] is the number of dimes she has and [tex]n[/tex] is the number of nickels she has.

Multiplying the second equation by -5 and adding both equations lets us isolate and solve for [tex]d[/tex]:

[tex]10d+5n+(-5(d+n))=150+(-5(22)),\\5d=40,\\d=8[/tex]

Plugging [tex]d=8[/tex] into any of the two equations will let us solve for [tex]n[/tex]:

[tex]8+n=22,\\n=\fbox{$14$}[/tex].

Therefore, she has 14 nickels.

Answer:

19/2 = 9.5.  This is the speed she can ride in a single hour.  At that speed, she would travel 9.5/3 miles in 1/3 of an hour.  9.5/3 = 3.1666666666666667

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

Company B will charge cheaper in 5 hours

Step-by-step explanation:

Step one:

Given data

Company A

charges $25 per hour and a $300 equipment fee

let the total be

A= 300+25t---------------1

Company B

charges $50 per hour and a $125 equipment fee.

let the total be

A= 125+50t---------------2

put t = 5 in the two expressions above

A= 300+25t---------------1

A= 300+25*5

A=300+125

A=$425

B= 125+50t---------------2

B= 125+50*5

B=125+250

B=$375

Answer:

A = 25t + 300 B = 50t + 125

company B is $50 cheaper than company A for 5 hours of landscaping

Answer:

4x-3 or A

Step-by-step explanation: because there are 4 x's and 3 "-" which makes it 4x-3

Answer:

Hi, this is a strange problem but I believe the answer is A) 4x-3.

Step-by-step explanation:

I think the X symbols represent "X"es and the dashes represent single negative digits. I may be wrong, but I think this is what your teacher is most likely looking for. Good luck! :)

Answer: 24,000 feet

Step-by-step explanation:

Well there is 60 minutes in an hour. So every 60 minutes you add by 6000

and 6000 x 4= 2400

:)

Answer:

C, price increases

Step-by-step explanation:

this is correct I promise you.

Answer:

C

Step-by-step explanation:

Prices increase because there is a higher demand for the product, but it does not double because each individual seller can set their price.

Answer: it would take him 10 hours to make 120 paper

Answer:

Number 1 Explanation:

Number 2 Explanation:

Answer:

49

Step-by-step explanation:

you are given the hypotenuse of 60 and a leg of 35

a^2 + b^2 = c^2

35^2 + b^2 = 60^2

1225 +b^2 = 3600

-1225            -1225

                     2375

B^2 = square root 2375

48.73 round  up to 49

Answer:

<

Step-by-step explanation:

Answer:

m D = m C

Step-by-step explanation:

I'll explain later... I have exams hhh

Answer:

Multiple answers (Work & answers below)

Step-by-step explanation:

Answer:

1. x=2 y=4

2. x=2 y=2

Step-by-step explanation:

Answer:

200

Step-by-step explanation: