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Sagot :
Given :
There are currently 260 people in archery clubs across the city, and this number is increasing by 11% per year.
To Find :
An equation that can be used to find the number of people, y, in archery clubs across the city after 8 years.
Solution :
Increase in people after 1 years :
[tex]P = 260 + 260\times 0.11\\\\P = 260( 1 + 0.11)\\\\P = 260\times 1.11[/tex]
After 2 years :
[tex]P = 260\times 1.11 + 260\times 1.11\times 0.11\\\\P = 260\times 1.11 ( 1 + 0.11)\\\\P = 260\times 1.11^2[/tex]
Therefore, after 8 years the expression of population is :
[tex]P = 260\times 1.11^8[/tex]
Hence, this is the required solution.
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