Answer:
$3,144
Step-by-step explanation:
Based on your tax table, the tax on an amount x over 9000 will be ...
t(x) = 0.054(x -9000) +0.05(9000 -2000) +0.02(2000)
= 0.054x -9000(0.054 -0.05) -2000(0.05 -0.02)
= 0.054x -36 -60
= 0.054x -96
Then the tax on 60,000 will be
t(60000) = 0.054(60000) -96 = 3240 -96 = 3144
The state income tax owed on $60,000 is $3,144.
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<em>Additional comment</em>
The standard calculation can be simplified as shown above. The tax table can be reduced to ...
The absolute value of -12 is positive 12 because absolute bars turn all negatives into a positive
Let's turn that into a linear system:
Set the equations equal to each other and solve:
We then plug in to get
:
The solution to the system is
.
Now, let's turn our attention to the statements.
The first one is
false: Emilia's rate is higher, and the two plans cost the same at 50 texts, after which point Hiroto's plan becomes
cheaper!
The second one is also
false: we already figured out that the lines intersect at
.
The third statement is also
false: as above, the lines intersect at
.
The fourth statement is
true: the lines intersect at
.
In conclusion, the fourth statement - "Both plans cost the same when 50 texts are sent" - is true.
The three main points of the cell theory are found in the paragraph, and they are the following:
- All living things are made up of cells.
- Cells are the basic units of life
- All cells come from preexisting cells
Hope this helps, have a blessed day :-)