Contoh hitung kependudukan
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![Page 1: Contoh hitung kependudukan](https://reader036.fdokumen.com/reader036/viewer/2022082406/563db9c9550346aa9a9feac7/html5/thumbnails/1.jpg)
Diketahui : Po = 40.400 (1965) n = 25 th Pn = 59.538 (1990) r = ?
Jawab :
1. Geometris
Pn = Po (1+r)n
Pn ------ = (1+ r)n
Po
log Pn- log Po = n log (1+ r)
log Pn - log Po------------------- = log (1+ r) n
log 59.538 - log 40.400 ------------------------------- = log (1+ r)
25
0,1684128-------------- = log (1+ r) 25
0,996736512 = log (1+ r)
Anti log 0,996736512 = 1+ r
1,0156323 = 1+ r
r = 1,0156323 – 1
r = 0,0156323 atau
r = 1,56 %
![Page 2: Contoh hitung kependudukan](https://reader036.fdokumen.com/reader036/viewer/2022082406/563db9c9550346aa9a9feac7/html5/thumbnails/2.jpg)
2. Eksponensial
Pn = Po ern
Pn ------ = ern
Po
59.538 ----------- = ern
40.400
1,473712871= ern
log 1,473712871 = 25 . r. log 2,7182818
0,168412876 = 25 . r . 0,43429419
r = 0,01551
r = 1,55%
3. Waktu lipat dua
70n = ----------- r
70n = ----------- = 45, 16
1,55
Jadi 1965 + 45 = 2010 pada tahun 2010 jumlah penduduk menjadi 80.800 orang