document.write( "Question 1204541: Carl bought a car for $5,000. The value of the car is decreasing by 9% each year. Janet bought a car for $3,000. The value of her car is decreasing by 3% per year. How long does it take for the value of the cars to be approximately the same? \n" ); document.write( "
Algebra.Com's Answer #840853 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
9% per year decrease means keeping 91% each year.
\n" ); document.write( "3% per year decrease means keeping 97% each year.\r
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\n" ); document.write( "\n" ); document.write( "\"5000%2A0.91%5Ex=3000%2A0.97%5Ex\"\r
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\n" ); document.write( "\n" ); document.write( "\"log%28%285000%29%29%2Bx%2Alog%28%280.91%29%29=log%28%283000%29%29%2Bx%2Alog%28%280.97%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"log%28%285000%29%29-log%28%283000%29%29=x%2Alog%28%280.97%29%29-x%2Alog%28%280.91%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"3%2Alog%28%285%29%29-3%2Alog%28%283%29%29=x%28log%28%280.97%29%29-log%28%280.91%29%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=3%28log%28%285%29%29-log%28%283%29%29%29%2F%28log%28%280.97%29%29-log%28%280.91%29%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=3%280.69897-0.47712%29%2F%28-0.013228%2B0.0409586%29\"\r
\n" ); document.write( "\n" ); document.write( "\"cross%28x=24%29\"\r
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\n" ); document.write( "\n" ); document.write( "Retry -------
\n" ); document.write( "\"log%28%285000%29%29%2Bx%2Alog%28%280.91%29%29=log%28%283000%29%29%2Bx%2Alog%28%280.97%29%29\"
\n" ); document.write( "\"log%28%285%2F3%29%29=x%2Alog%28%280.97%29%29-x%2Alog%28%280.91%29%29\"
\n" ); document.write( "\"log%28%285%2F3%29%29=x%28log%28%280.97%2F0.91%29%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=%28log%28%285%2F3%29%29%29%2F%28log%28%2897%2F91%29%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=0.221849%2F0.02773\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28x=8.00%29\"
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