In 2005, the Earth's magnetic field was about 10% weaker than it
was in 1845 when German mathematician Carl Friedrich Gauss first
measured it. If the magnetic field continues to weaken by 10% of
its current value every 160 years, approximately when will it be
half of its 1845 value? When will it be only 35% of its 1845 value?
(Note that we are supposing, in this question, that after 320 years
the strength of the field is 90% of...