Respuesta :
By using the concept of growth, it can be calculated that
Number of turkeys after 10 years = 57
It took 10 years for the number of turkeys to double
What is growth?
Growth is the increase in the value of an asset or cost or population at a certain rate over a certain period of time.
Original number of turkeys = 45
Rate of growth = 2.3 %
Time = 10 years
Number of turkeys after 10 years = [tex]45 \times (1 + \frac{2.3}{100})^{10}[/tex]
= 57
Now,
New number of turkeys = 45 [tex]\times[/tex]2 = 90
[tex]90 = 45 \times (1 + \frac{2.3}{100})^n[/tex]
[tex](1 + \frac{2.3}{100})^n = \frac{90}{45}\\\\1.023^n = 2\\n\ ln (1.023) = ln( 2)\\n \times 0.023 = 0.693\\n = \frac{0.693}{0.023}\\n = 30.1 \ years[/tex]
It took 10 years for the number of turkeys to double
To learn more about growth, refer to the link-
https://brainly.com/question/25630111
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