document.write( "Question 880299: A rare car appreciates at a rate of 3.2% annually. If the current amount in 58,000, after how many years will its value exceed 75,000 mark? Also, show the formula that will model the value of the car after T years. \n" ); document.write( "
Algebra.Com's Answer #531357 by Alan3354(69443)\"\" \"About 
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A rare car appreciates at a rate of 3.2% annually. If the current amount in 58,000, after how many years will its value exceed 75,000 mark? Also, show the formula that will model the value of the car after T years.
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\n" ); document.write( "Assuming it appreciates continuously,
\n" ); document.write( "\"FV+=+PV%2Ae%5E%28rt%29\"
\n" ); document.write( "\"75000+=+58000%2Ae%5E%280.032t%29\"
\n" ); document.write( "\"75%2F58+=+e%5E%280.032t%29\"
\n" ); document.write( "0.032t = ln(75/58)
\n" ); document.write( "t = ln(75/58)/0.032 years
\n" ); document.write( "Calculator work from there
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