Answer :
the population in 1915 and 1940 is 24264.5
the population reach 50,000 is 77 years
In 1891 the population would be 6250 x ( 1+ 0.0275)
In 1832 the population would be [ 6250 x ( 1+0.0275 ) ] x (1+0.0275)
in 1893 the population would be [6250 x ( 1+0.0275) ] x ( 1+0.0275) x (1+0.0275)
p= 6250(1.0275)^t
where t= number of years till 1890
t=25
p= 6250(1.0275) ²⁵
= 6250 x 1.9704
= 12314.8
t=50
p= 6250(1.0275) ⁵⁰
= 6250 x 3.8823
=24264.5
To reach 50,000
50000= 6250(1.0275)^t
(1.0275)^t = 50000 /6250
(1.0275)^t =8
Take log on both sides
log (1.0275)^t = log 8
t= log8/ log (1.0275)
t=76.6%
Hence
the population in 1915 and 1940 is 24264.5
the population reach 50,000 is 77 years
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