Answered

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If the world's population increased exponentially from billion in 1998 to billion in 2008 and continued to increase at the same percentage rate between 2008 and 2012, calculate what the world's population would have been in 2012. Round your answer to two decimal places.

Sagot :

Answer:

The answer is "7.122 billion"

Step-by-step explanation:

Please find the complete question in the attached file.

Using formula:

[tex]\to y=Ce^{kt}[/tex]  

[tex]C=5.937\\\\y=6.771\\\\t=10\\\\ k=?6.771=5.937e^{10k}\\\\1.1405=e^{10k}\\\\\ln(1.1405)={10\ k}\\\\0.013={k}\\\\[/tex]

So,  

[tex]\to y=5.937e^{.013t}\\\\[/tex]

when it becomes [tex]2012, \ t=14[/tex] so plug the value into the formula  

[tex]\to y= 5.937e^{.013(14)} =7.122 \ billion[/tex]

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