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Question
gina was earning $10 per hour. then she received a 10% pay rate increase. next month, her pay rate will decrease by 10%. what will ginas pay rate be next month? $10.00 per hour $9.90 per hour $10.10 per hour $12.10 per hour
Step1: Calculate the pay - rate after the 10% increase
The original pay rate is $10 per hour. A 10% increase means we find 10% of 10 and add it to 10. 10% of 10 is $10\times0.1 = 1$. So the new pay rate is $10 + 10\times0.1=10\times(1 + 0.1)=10\times1.1 = 11$ dollars per hour.
Step2: Calculate the pay - rate after the 10% decrease
The new pay rate is 11 dollars per hour. A 10% decrease means we find 10% of 11 and subtract it from 11. 10% of 11 is $11\times0.1 = 1.1$. So the final pay rate is $11-11\times0.1=11\times(1 - 0.1)=11\times0.9 = 9.9$ dollars per hour.
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B. $9.90 per hour