document.write( "Question 140926: In 2004 the population of the US was 294.4 million. if the population continues to grow at an annual rate of 1.05% then the population in the year 2015 will be 294.4(1.0105)to the 11th power million. Evaluate the expression to find the predicted population in 2015 to the nearest tenth of a million people. Estimate what year the population will reach 350 million people. \n" ); document.write( "
Algebra.Com's Answer #102602 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! In 2004 the population of the US was 294.4 million. \n" ); document.write( "if the population continues to grow at an annual rate of 1.05% \n" ); document.write( "then the population in the year 2015 will be 294.4(1.0105)to the 11th power million. \n" ); document.write( "Evaluate the expression to find the predicted population in 2015 to the nearest tenth of a million people. \n" ); document.write( "--------- \n" ); document.write( "Population(2015) = 294.4(1.0105)^(11) = 330.2 million people \n" ); document.write( "----------- \n" ); document.write( "Estimate what year the population will reach 350 million people. \n" ); document.write( "350 = 294.4(1.0105)^t \n" ); document.write( "1.188859 = 1.0105^t \n" ); document.write( "Take the log of both sides to get: \n" ); document.write( "tlog1.0105 = log1.188859 \n" ); document.write( "t = 0.07513.../ 0.004536... \n" ); document.write( "t = 16.56 years \n" ); document.write( "------- \n" ); document.write( "That would be in the year 2004 + 16.56 or 2021\r \n" ); document.write( "\n" ); document.write( "=============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |