Question

In: Advanced Math

The fox population in a certain region has an annual growth rate of 9% per year. In the year 2012, there were 23,900 fox counted in the area. What is the fox population predicted to be in the year 2020?

The fox population in a certain region has an annual growth rate of 9% per year. In the year 2012, there were 23,900 fox counted in the area. What is the fox population predicted to be in the year 2020?

Solutions

Expert Solution

The formula for the continuous growth or decay is:

A(t) = aert

 

Where, the initial deposit is a = 23900.

The continuous growth rate is r;

Therefore,

r = 9/100

   = 0.09

 

The population predicted after 2020 is;

t = 2020 – 2012

  = 8

 

The fox population predicted after 2020 is determined as follows:

Substitute the known values as follows:

A(8) = 23900(e0.09×8)

        = 23900(e0.72)

       = 23900 × 2.0544

       = 49100

 

Therefore, the fox population predicted after 2020 is 49100 fox.

Therefore, the fox population predicted after 2020 is 49100 fox.

Junaid answered 1 year ago
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