Answered

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there are currently 260 people in archery clubs across the city, and this number is increasing by 11% per year. Enter an equation that can be used to find the number of people, y, in archery clubs across the city after 8 years.

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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