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Pachacha [2.7K]
2 years ago
14

Due to the economy and not wanting to eliminate any jobs, all state employees were asked to accept a 4.5% reduction in their sal

aries. If the reduction to a state secretary's salary was $1890, what was the secretary's salary prior to the reduction?
Mathematics
1 answer:
jeka942 years ago
7 0

Answer: The secretary's salary prior to the reduction was $42,000.

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

The original secretary's salary (x) multiplied by the percentage reduction in decimal form (4.5/100) must be equal to the amount of the reduction (1890)

Mathematically speaking:

x (4.5/100)= 1890

Solving for x:

x (0.045)= 1890

x = 1890/ 0.045

x = 42,000

The secretary's salary prior to the reduction was $42,000.

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Using Cramer's Rule, what are the values of x and y in the solutio
olya-2409 [2.1K]

Answer:

x = -3, y = 1

Step-by-step explanation:

To find the value of x and y, find the determinant of original matrix, which would be 21.

Then, substitute the value of x with the solutions to the equations and find the determinant of that matrix, which is -63.

Cramer's rule says that Dx ÷ D is the value of x. So, -63 ÷ 21 = -3.

So, the x-value is -3.

You can find the determinant of the y-value in the same way, and you'll find out that y = 1.

Hope this helped! :)

8 0
3 years ago
What is the value of b if (3 + i) and (3 - i) are complex roots of 2x² + bx + 20 = 0?
Bogdan [553]
A is the answer Bc I did this before and my teacher said I did an excellent job!
3 0
2 years ago
A plane takes off and climbs steadily gor 30 minutes until it reaches 35,000 feet. It travels at that altitude for 2 hours until
horrorfan [7]
This is a function where:
x - time in minutes;
y = f ( x ) - altitude of a plane in feet.
Max altitude = 35,000 feet
0.5 h + 2 h + 15 min = 30 min + 120 min + 15 min = 165 min
Domain:
x ∈ [ 0;  165 ]
Range:
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6 0
3 years ago
Y -13<br> --------- =<br> y -7<br><br> ​
mario62 [17]

y-13 / y-7

cross multiply

y-13 = y-7

collect like terms

y+y =-7+13

2y= 13 -7

2y = 6

divide both sides by 2

2y/ 2y = 6/2

y= 3

I hope this helped

4 0
3 years ago
I’m honestly done with math
rewona [7]

Answer:

15.

Step-by-step explanation:

8x - 10 = 110    (vertical angles are equal in measure).

8x - 10+ 10 = 110 + 10

8x = 120

x = 120 /8

x = 15.

3 0
3 years ago
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