document.write( "Question 1092022: The population of Guatemala in 2000 was 12.7 million.
\n" ); document.write( "1. Assuming exponential growth, what would be the size of the population after time t (measured in years after 2000) if the population was 15 million in 2020?
\n" ); document.write( "Answer (in millions): P(t)=
\n" ); document.write( "2. Assuming exponential growth, what would be the size of the population after time t (measured in years after 2000) if the population was 15 million in 2125?
\n" ); document.write( "Answer (in millions): P(t)= \n" ); document.write( "

Algebra.Com's Answer #706536 by greenestamps(13200) $\"\"$ $\"About$

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1. It takes 20 years for the population to grow from 12.7 million to 15 million.

\n" ); document.write( " $\"12.7%28x%29%5E20+=+15\"$
\n" ); document.write( " $\"x%5E20+=+15%2F12.7\"$
\n" ); document.write( " $\"x+=+%2815%2F12.7%29%5E%281%2F20%29+=+1.008357...\"$

\n" ); document.write( "So P(t) = 12.7(1.008357)^t

\n" ); document.write( "2. Perform the same calculations using 15 instead of 20 for the number of years.... \n" ); document.write( "

\n" );