document.write( "Question 569105: The earliest mechanical clock appeared around 1350 in europe and would gain or lose and average of 30 minutes per day. After that, accuracy roughly doubled every 30 years. find the predicted accuracy of the clock in the years 1700 and 2000. \n" ); document.write( "

Algebra.Com's Answer #367227 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
If $\"+t+\"$ is the time gained or lost the 1st year,
\n" ); document.write( "After 30 yrs:
\n" ); document.write( " $\"+%281%2F2%29%2At+\"$
\n" ); document.write( "Next 30 yrs:
\n" ); document.write( " $\"+%281%2F4%29%2At+\"$
\n" ); document.write( "Next 30 yrs:
\n" ); document.write( " $\"+%281%2F8%29%2At+\"$
\n" ); document.write( "----------
\n" ); document.write( "So, at the end of $\"+n%2A30+\"$ yrs,
\n" ); document.write( "The accuracy is $\"++%281%2F%282%5En%29%29+%2A+t+\"$
\n" ); document.write( "If $\"+n%2A30+=+1700+-+1350+\"$
\n" ); document.write( " $\"+n+=+350+%2F+30+\"$
\n" ); document.write( " $\"+n+=+11.667+\"$
\n" ); document.write( " $\"+t+=+30+\"$ min/day
\n" ); document.write( " $\"+%281%2F%28+2%5E11.667%29%29%2A30+\"$ min/day
\n" ); document.write( "You can use log to solve this. Call it $\"+a+\"$
\n" ); document.write( "for accuracy
\n" ); document.write( " $\"+a+=+%281%2F%28+2%5E11.667%29%29%2A30+\"$
\n" ); document.write( " $\"+log%28a%29+=+-11.667%2Alog%282%29+%2B+log%2830%29+\"$
\n" ); document.write( "When you find $\"+log%28a%29+\"$ , then
\n" ); document.write( " $\"+a+=+10%5E%28%28log%28a%29%29+%29+\"$
\n" ); document.write( "( I don't have calculator handy ) \n" ); document.write( "

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