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Sonja [21]
3 years ago
6

Please help with answer!

Mathematics
1 answer:
Ghella [55]3 years ago
8 0

Answer:

0.12 x (x + 3000) = 4200

equation for her salary last year : last year's salary = (4200 / 0.12) - 3000

$32,000

Step-by-step explanation:

Let x = last year's salary

this year's salary = 3000 + x

this equation can be used to determine how much she saved this year = 0.12 x (x + 3000) = 4200

to find last year's salary, make x the subject of the formula

4200 / 0.12 - 3000 = x

x = $32,000

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The bottom answer is correct. I had some trouble with this so I had to find x and y in separate parts.

TO FIND X
notice that the top triangle and bottom triangles are similar, meaning if you multiple all three sides of one by a specific number, it becomes the same size as the bottom triangle.

17 x n = 8, therefore n=8/17
8 x n = X, therefore X=64/17

For some reason, this does not give a correct value for Y, so I had to use trig 

TO FIND Y 

Notice that the angle DAB is the same as DBC (lets call this angle Ø)

Using trig rule, we know that the cos of an angle is equal to the adjacent side divided by the hypotenuses.

We can now form some equations:

cosØ = 15/17 (from the top triangle)
cosØ = 8/Y      (from bottom triangle)
Now we know that Y=(8x17)/15 = 136/15

X=64/15  Y=136/15
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3 years ago
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4.3
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Tcecarenko [31]
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I need answer. Please help me.​
Vanyuwa [196]

I think it’s positive. As it gets heavier, the cost has a positive slope, or increases. I’m not absolutely sure though

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