Respuesta :

Answer:

36 million is the answer.

Step-by-step explanation:

In the question given parameters are population in 1995 = 32 million

Population in 1997 = 34 million

Exponential growth formula is [tex]P = Ae^{kt}[/tex]

And we have to find out the population in 2003.

Here From this formula initial population in 1995 [tex]P=Ae^{k\times 0}=32[/tex]

Or P = A = 32 million

Now population in 1997

[tex]P=32e^{k\times 2}=34[/tex]

[tex]e^{k\times 2}=34/32=17/16[/tex]

[tex]log(e^{2k})=log(\frac{17}{16})[/tex]

[tex]2k=log17-log16[/tex]

[tex]2k=0.0263[/tex]

[tex]k=0.0131[/tex]

Now Population in 2003

[tex]P=32e^{.0131\times 8}=32e^{0.105}[/tex]

P = 32×1.11 = 35.54 million ≅ 36 million

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