document.write( "Question 1092379: The number of register vehicles on the road in the United States is constantly increasing and 2007 there were approximately 246 million registered vehicles this represents a 3% increase over 2000 to how many register vehicles were there in the United States in 2002 round to the nearest million \n" ); document.write( "
Algebra.Com's Answer #706982 by Boreal(15235) You can put this solution on YOUR website! 246 is a 3% increase over x \n" ); document.write( "1.03x=246 \n" ); document.write( "x=238.83 million. \n" ); document.write( "find the rate per year \n" ); document.write( "246=238.83(1+r)^7 \n" ); document.write( "divide both sides by 238.83 \n" ); document.write( "1.03 (which we knew)=(1+r)^7 \n" ); document.write( "ln both sides \n" ); document.write( "0.0296=7 ln(1+r) \n" ); document.write( "without rounding, divide both sides by 7 and raise to the e power. \n" ); document.write( "1+r=1.0042; r=0.0042 \n" ); document.write( "for 2002, take 238.83 and multiply it by 1.0042^2 power, again without rounding. \n" ); document.write( "240.86 million or 241 million. \n" ); document.write( "========= \n" ); document.write( "Check. Because the percentage is low, approximate with linear. 3% per year is an increase 7.17 million in 7 years or about 1 million a year. This would predict 240.83. \n" ); document.write( " |