A23% increase followed by a 17% decrease is what percent change?

2.09% increase

Step-by-step explanation:

Let x = the original amount. then

23% increase is: x(1 + 0.23) = 1.23x

and a 17% decrease is 1.23x(1 - 0.17)

                                   = 1.23x(0.83)

                                   = 1.0209x

x was the original amount and 1.0209x is the new amount.

The percent change is:

Since the result is positive, it represents an increase.

Move the decimal two places to the right to convert the number to percent.

+0.0209 = 2.09 increase

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step-by-step explanation: