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in the last 20 years, an initial population of 24 pumas in a state park grew by about 12% per year. How many pumas were in the park after 17 years?

Use the equation: n= a( 1 + r )^t​

Respuesta :

Answer:

165 pumas

Step-by-step explanation:

Using the formula given:

[tex]n = a(1 + r)^t[/tex]

where n = number of pumas after a specific number of years

a = initial number of pumas = 24

r = rate = 12% = 0.12

t = number of years = 17

We obtain the number of pumas after 17 years to be:

[tex]n = 24 *(1 + 0.12)^{17}\\\\\\n = 24*(1.12)^{17}\\\\\\n = 24 * 6.866[/tex]

[tex]n = 164.78[/tex] ≅ 165 pumas

After 17 years, the number of pumas in the park was 165.

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