Respuesta :

False.

Lets say your original pay was $100

You get a 3% pay raise so that now makes your pay: 100 x 1.03 = $103

Now from 103 you get a 3% pay cut so after the pay cut your pay would be:

103 x (100%-3%) = 100 x 97% = 100 x 0.97 = $99.91

99.91 is less than your original pay of 100.

The statement that your salary is unchanged after the two changes is false

How to determine true statement?

Let the salary by represented as:

Salary = x

When you receive a raise of 3%, the salary becomes

New = x * (1 + 3%)

When you receive a cut of 3%, the salary becomes

New = x * (1 + 3%) * (1 - 3%)

Evaluate the product

New = 0.9991x

Recall that the initial salary is x.

Hence, the statement that your salary is unchanged after the two changes is false

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