document.write( "Question 959561: Jonas purchased a new car for $25,000. Each year the value of the car depreciates by 20% of its value the previous year. In how many years will the car be worth $5000? \n" ); document.write( "

Algebra.Com's Answer #586516 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
After $\"+n+\"$ years, the car is worth
\n" ); document.write( " $\"+25000%2A%28+1+-+.2+%29%5En+\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"+5000+=+25000%2A.8%5En+\"$
\n" ); document.write( " $\"+1%2F5+=+.8%5En+\"$
\n" ); document.write( " $\"+.2+=+.8%5En+\"$
\n" ); document.write( "Take the log of both sidesd
\n" ); document.write( " $\"+n%2Alog%28+.8+%29+=+log%28+.2+%29+\"$
\n" ); document.write( " $\"+n+=+log%28+.2+%29+%2F+log%28+.8+%29+\"$
\n" ); document.write( " $\"+n+=+-.69897+%2F+-.0961+\"$
\n" ); document.write( " $\"+n+=+7.273+\"$
\n" ); document.write( "In 7 years the car will be worth $5,000
\n" ); document.write( "check:
\n" ); document.write( " $\"+.2+=+.8%5En+\"$
\n" ); document.write( " $\"+.2+=+.8%5E7.273+\"$
\n" ); document.write( " $\"+.2+=+.197+\"$
\n" ); document.write( "close enough I think\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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