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Kitty [74]
3 years ago
12

2. Mrs. Frederick is paid semimonthly.

Mathematics
1 answer:
Julli [10]3 years ago
5 0

The annual salary of Mrs. Fredrick is $ 39397.2

<u>Solution:</u>

Given, Mrs. Frederick is paid semimonthly.  

Her semi-monthly salary is $1.641.55.  

Now, let us find her monthly salary first.

<em>monthly salary = 2 x semi – monthly salary </em>

So, monthly salary = 2 x 1,641.55 = $ 3283.1

Since there 12 months in a year, we obtain the annual salary as follows:

Now, the<em> annual salary = 12 x monthly salary </em>

Annual salary = 12 x 3283.1  = $ 39397.2

Hence, the annual salary of Mrs. Fredrick is $ 39397.2

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(2x + 3y = 12) x (-2)
(4x - 3y = 6) x 1

-4x - 6y = -24
4x - 3y = 6

You can cancel out the x values by adding the two equations together. 
(-4x + 4x) + (-6y - 3y) = (-24 + 6)
-9y = -18
y = 2

Solve for x now...
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4x - 6 = 6
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x = 3

Check... (x = 3, y = 2)
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6 + 6 = 12
12 = 12 <- this works! 

4(3) - 3(2) = 6
12 - 6 = 6
6 = 6 <- this works!
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3 years ago
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