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.
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"accuracy...doubled..." is not a good term.  If the accuracy is 10%, then double that is 20% ??
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If you mean the error was reduced by a factor of 2:
1350 - 1700 = 350 yrs
350/30 =~ 12 periods
30 mins error * (1/2)^12 = 30/1024 =~ 0.03 min/day = 1.8 seconds/day
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1350 - 2000 = 650 yrs = 22.7 periods
30 min*(1/2)^22.7 =~ 4.403E-6 min/day
=~ 264 microseconds/day