document.write( "Question 319233: Please help me solve this problem:\r
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document.write( "Adams Company bought a piece of land in 1981 for $200,000. By 2005, its value had increased to $1 million. Find the annual rate of appreciation during this period. \n" );
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Algebra.Com's Answer #228575 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Adams Company bought a piece of land in 1981 for $200,000. By 2005, its value had increased to $1 million. Find the annual rate of appreciation during this period. \n" ); document.write( "---------------------------- \n" ); document.write( "Form: y = ab^x \n" ); document.write( "--- \n" ); document.write( "You have two points: (0,200,000) and (24,1,000,000) \n" ); document.write( "where the 1st coordinate is the number of years after 1981. \n" ); document.write( "---------------------- \n" ); document.write( "Using (0,200,000 you get: \n" ); document.write( "200,000 = ab^0 \n" ); document.write( "200,000 = a \n" ); document.write( "------------------------ \n" ); document.write( "Using (24,1000000) \n" ); document.write( "1000000 = 200,000b^24 \n" ); document.write( "5 = b^24 \n" ); document.write( "b = 5^(1/24) = 1.0694 \n" ); document.write( "--- \n" ); document.write( "Equation: \n" ); document.write( "y = 200,000(1.0694)^x \n" ); document.write( "---- \n" ); document.write( "Annual rate is 0.0694 or 6.94% \n" ); document.write( "==================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=============== \n" ); document.write( " \n" ); document.write( " |