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Algebra help...How would you solve this? 10 points!?

Sally's salary at the end of a year is $26,780. This reflects a 4% salart increase in Feburary and then a 3% cost-of-living adjustment in June. What was her salary at the beginning of the year?

Will someone please show me how to do this?
Answerer 0 2012-02-06 17:26:11 +0000
x = starting monthly pay
1.04x = february pay
1.03(1.04x) = june pay = 1.0712x

x + 1.04x *4 + 1.0712x*7 = 26780
x + 4.16x + 7.4984x= 12.6584x = 26780
x= 2115.59
Answerer 1 2012-02-06 17:27:24 +0000
26780 - (26780 * 3% * 6/12) = 26780 - 401.7 = 26378.30
= subtract 3% of her salary for 6 out of 12 months

26378.30 - (26378.30 * 2% * 10/12) = 26378.30 - 439.64 = 25938.66
= subtract 2% of her previously adjusted salary for 10 out of 12 months

salary at start of year was 25938.66
Answerer 2 2012-02-06 17:22:43 +0000
I will show you the equation. If you understand it GREAT.
If not let me know how to contact you and I will explain it.
Up to you....

M = Month of January's salary

M + 1.04M(4) + 1.03)(1.04m)(7) = 26780

M ~ ~ $ 2115.59

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A PRESENT FOR YOU
Ask someone to write a number, say a five-digit number.
(Can be a 2-digit.....3-digit.....4-digit....ect..…
Suppose the number written is
57836
Now, without showing the asker, you write a number on
a sheet of paper and keep it folded. You have to write the
number by subtracting 2 from the above number and
adding 2 in front which will be....
257834
Next, ask the person to write another five-digit number
below his original number. Suppose he writes 37589.
So you now have...
57836
37589
Now you write a five-digit number below it in such a
way that each digit is 9 minus digit above. You now have...
57836
37589
62410
Ask the person to add one more 5-digit number. If he
adds 54732, you add below it 45267. Note that you decided
the number by subtracting each of his digit from 9.
Thus, you now have.....
57836
37589
62410
54732
45267
Next, ask him to add all the number and he gets 257834
Show him the number which you had written as an answer
to this addition earlier in the folded paper and surprise him.
Answerer 3 2012-02-06 17:28:48 +0000
26780 at the end of the year, actually all months after June.

To get the salary before June you have to reduce it by the 3% cost of living adjustment so
26780/1.03 = 26000

Same ides to get the salary before February
26000/1.04 = 25000

When it comes to word problems like this the biggest part of it can be seeing how to set it up. After that the math usually isn't hard. I hope your teacher is teaching how to see and set up this type of problem.
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