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ozzi
3 years ago
13

if you decrease by a given percent and then increase by the same percent, will you be back where you started? how do you know

Mathematics
1 answer:
quester [9]3 years ago
5 0

Lets pick a random number, like 50. Lets decrease and increase it by 50%. After the decrease, you will get 25, but when you increase it by 50%, it's only 37.5. No, because when you decrease it, you have a smaller base, so it increases less than it decreases. 50% of 100 is 50, but 50% of 50 is 25. You can see there is a significant difference.

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Step-by-step explanation:

Given: A boat sail 20 miles west of the port and then 15 miles south to an island.

Picture attached.

The distance from port to island could be measured in a straight line. It will form a hypotenous.

∴ we can use Pythogorean theorem to find the distance.

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h^{2} = 20^{2} +15^{2}

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∴ Distance of Port from the Island is 25 miles.

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