donovanmckay05
donovanmckay05 donovanmckay05
  • 07-02-2019
  • Mathematics
contestada

A balloon with a small leak loses 1% of its volume each day. If originally contains 24 liters of gas, what is the volume at the end of one week.

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 16-02-2019
ANSWER

The volume at the end of one week will be 22.32 liters.

EXPLANATION

If the balloon with a small leak loses 1% of its volume each day, then by the end of one week, it will lose 7℅ of its volume.


If the balloon originally contains 24 liters of gas, then this corresponds to 100%.

The volume at the end of one week will correspond to (100-7)%=93%


The volume at the end of one week is

[tex] = \frac{93}{100} \times 24[/tex]


[tex] = \frac{2232}{100} [/tex]
[tex] = 22.32 \: liters[/tex]
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