autumnramirezokok autumnramirezokok
  • 07-09-2022
  • Mathematics
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sangers1959 sangers1959
  • 07-09-2022

Answer:

Step-by-step explanation:

A)

A - the population after its decrease

x - the number of years in which there has been a decrease in population

Hence,

[tex]\displaystyle\\A=30000-475x\\A+475x=30000-475x+475x\\A+475x=30000\\A+475x-A=30000-A\\475x=30000-A[/tex]

Divide both parts of the equation by 475:

[tex]\displaystyle\\x=\frac{30000-A}{475}[/tex]

B)

[tex]\displaystyle\\x=\frac{30000-24300}{475} \\\\x=\frac{5700}{475}\\\\x=\frac{12*475}{475} \\\\x=12\ years[/tex]

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