document.write( "Question 1198085: Given the inflation model C(t)=C0(1+r)t and given that a can of soup that currently sells for $1.18 sold for $0.90 3 years ago, what has the average annual rate of inflation been for the past 3 years? Round to two decimal places. \n" ); document.write( "
Algebra.Com's Answer #831639 by ikleyn(52786)\"\" \"About 
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\n" ); document.write( "Given the inflation model C(t)=C0(1+r)t and given that a can of soup that currently sells
\n" ); document.write( "for $1.18 sold for $0.90 3 years ago, what has the average annual rate of inflation been
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document.write( "From the problem,\r\n" );
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document.write( "    1.18 = \"0.9%2A%281%2Br%29%5E3\",    (1)\r\n" );
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document.write( "and they want you find the rate \"r\".  From (1)\r\n" );
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document.write( "    \"1.18%2F0.9\" = \"%281%2Br%29%5E3\"\r\n" );
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document.write( "    1.31111111 = \"%281%2Br%29%5E3\"\r\n" );
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document.write( "    1 + r = \"root%283%2C1.31111111%29\" = 1.094493448.\r\n" );
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document.write( "Hence,  r = 1.094493448 - 1 = 0.094493448...\r\n" );
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document.write( "Round as you need . . . \r\n" );
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