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jek_recluse [69]
3 years ago
12

If the crane operator works 30 years and the train engineer works 33 years, who makes the most lifetime income? How much more?

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
3 0

Answer:

The train eingineer.

Step-by-step explanation:

So, to find the lifetime income, we must multiply the annual income by the years of work.

So for the cran operator:

54,830*30

=

1,644,900

Now lets compare this to the train eingineer:

50,610*33

=

1,670,130

So looking at the two numbers:

<u>1,670,130(train eingineer)</u>>1,644,900(crane operator)

So the trian eignineer makes more than the crane operator.

Now lets find the amount.

To do this, lets subtract the larger value by the smaller value:

1,670,130-1,644,900

=

<u>25,230</u>

So the train eingineer made 25,230 more dollars than the crane operator.

Hope this helps!

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Point M is located at (4,6) on a coordinate grid. Point M is translated 8 units to thr left and 9 units down to create point M'.
nata0808 [166]
Well, i would use the distance formula to find the distance between the two points. Only issue- you do not have the other point, so lets find it!

We have the point 4,6. 4 is the x, and 6 is the y.

Lets start with 4 since the x works with the left and right aspect of the location. It says M has been translated 8 units to the left, meaning we go back 8. So if we are at 4, and we go back (A.K.A. Subtract) 8, we will be at -4.

Now lets move onto the y, which works with the up and down aspect of the location. It says M has been translated 9 unites down, meaning the point will be heading down and getting smaller. So if we are at 6, and we go down (A.K.A. subtract) 9, then we will be at -3.

So now we have the coordinates of point M (4,6) and point M' (-4,-3) so we can now complete the distance formula!

The distance formula helps determine the distance between two points. It looks like this: D = √(x₂-x₁)²+(y₂-y₁)²

Though it does not matter which order you use the coordinates in, i am choosing to use M and then M'.

So, starting with the X, X₂ will be -4 and X₁ will be 4.
Again, starting with the Y, Y₂ will be -3 and Y₁ will be 6.

So, the formula plugged in will look like this: d = √(-4 - 4)² + (-3 - 6)²

Solving it out, we first need to work within the parenthesis. Can you solve it?

Our outcome will be this: -8² + -9². But, since we are squaring (And a negative times a negative equals a positive) you can just write 8² + 9²

8²= 64
9²= 81

64+81 = 145.

So, the distance between point M and point M' would be 145 units

Hope this helps!

If it does not, please let me know so i can try to help!

4 0
3 years ago
1. Which diagram(s) show adjacent angles?
disa [49]

Answer:

1. diagrams C. D. and F. are adjacent angles, which are angles that share a vertex and side

2. diagram B. are vertical angles

3. diagram A. are complementary angles

4. diagram E. are supplementary angles

5. diagram D. is a linear pair

6 0
2 years ago
A function has a constant doubling time. What type of function does this<br> represent?
SIZIF [17.4K]

Answer:

  an exponential function

Step-by-step explanation:

An exponential function has the characteristic that it increases by a constant factor when the independent variable increases by a constant increment. The function you describe is an exponential function.

__

It can be written in the form ...

  f(t) = f(0)·2^(t/d) . . . . . where d is the doubling time

6 0
3 years ago
When a customer wants pie for dessert, you cut whole pies into 7 equal slices. At the end of your shift, 3737 of a cherry pie, 2
matrenka [14]

the answer is 13/7 and here is the correct question

the answer is 13/7 and here is the correct questionwhen a customer wants pie for dessert you cut a whole pies into 7 equal slices...at the end of your shift 3/7 of. a cherry pie.2/7. of an apple pie.3/7 of a peach pie.and 5/7 of a blueberry pie remain...How much pie remains as a fraction of. a whole pie...

Answer:

13/7

Step-by-step explanation:

From the question, we have

3/7 of cherry pie

2/7 of apple pie

3/7 of peach pie

5/7 of blueberry pie

Now we have to add up all of these in order to get the total amount of pie

3/7 + 2/7 +3/7 +5/7

= (3+2+3+5)/7

=13/7

If expressed as a mixed fraction

= 1 6/7

In conclusion, 13/7 pie remains as a fraction of a whole.

4 0
3 years ago
Solve 81^x = 27^^^x + 2.<br><br> A. x = 1<br> B. x = 2<br> C. x = 5<br> D. x = 6
omeli [17]

Answer:

x=6

Step-by-step explanation:

81^x=27^(x+2)

3^4x=3^3(x+2)

4x=3(x+2)

4x=3x+6

x=6

6 0
3 years ago
Read 2 more answers
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