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Sagot :
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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