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1
1 point
The elephant population in South Africa's Kruger National Park is
continuing to grow at a steady rate of 4.5%. Currently (2010) the park
contains 8,350 elephants. Based on these numbers, estimate the park's
elephant population for the year 2020.
Type your answer...
2
1 point
Bureau the nomulation of the United States has
find the exponential growth formula

Respuesta :

Using an exponential equation, it is found that the estimate for the park's  elephant population for the year 2020 is of 12967.

An increasing exponential equation is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

  • A(0) is the initial value.
  • r is the growth rate, as a decimal.

In this problem:

  • In 2010, there were 8350 elephants, hence [tex]A(0) = 8350[/tex].
  • Growth rate of 4.5%, hence [tex]r = 0.045[/tex]

Then:

[tex]A(t) = 8350(1 + 0.045)^t[/tex]

[tex]A(t) = 8350(1.045)^t[/tex]

2020 is 10 years after 2010, hence, we have to find A(10).

[tex]A(10) = 8350(1.045)^{10} = 12967[/tex]

The estimate for the park's  elephant population for the year 2020 is of 12967.

A similar problem is given at https://brainly.com/question/22733028

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