PG © What single decimal multiplier would you use to decrease by 1% followed by a 1% increase?

Mathematics

1 answer:

luda_lava [24]2 years ago

5 0

<h3>Answer: 0.9999</h3>

Explanation:

Having a 1% increase means we go from 100% to 100%+1% = 101% which converts to the decimal form 1.01; note how you move the decimal point two spots to the left to go from 101% to 1.01

A 1% decrease means we go from 100% to 100%-1% = 99% = 0.99

Multiplying 1.01 and 0.99 leads to 1.01*0.99 = 0.9999

Since 0.9999 = 99.99%, this means we have a 100% - 99.99% = 0.01% decrease overall.

Note: the order of the decrease and increase doesn't matter. You could do the decrease first, then the increase, or vice versa.

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$\left \{ {{3x+y>-3} \atop {x+2y$

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This two lines has been plotted in the Figure below and the region of the inequality is indicated in gray color. Therefore, each point in this region satisfies the system of inequalities. To illustrate this, let's take a point within the gray region, say (0, 0):

$\left \{ {{3x+y>-3} \atop {x+2y-3} \atop {(0)+2(0)-3} \atop {0$