Question
Die bovolking van die munisipalitoil was 1792851 in 1996 , wat 'n toename met \( 2,35 \% \) was vanal 1995 tol 1996 , Bepaal die bevollking van die munlsipaliteit in 1995 .
Ask by Martin Knight. in South Africa
Mar 09,2025
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Tutor-Verified Answer
Answer
The population of the municipality in 1995 was approximately 1,751,650.
Solution
1. Stel die bevolking in 1995 voor as \( P \). Volgens die voorwaarde was die bevolking in 1996 met \(2,35\%\) toegenomen, dus:
\[
P \cdot (1+0,0235) = P \cdot 1,0235 = 1\,792\,851
\]
2. Los op vir \( P \):
\[
P = \frac{1\,792\,851}{1,0235}
\]
3. Bereken \( P \):
\[
P \approx \frac{1\,792\,851}{1,0235} \approx 1\,751\,650
\]
Dus, die bevolking van die munisipaliteit in 1995 was ongeveer \(1\,751\,650\).
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Om die bevolking van die munisipaliteit in 1995 te bereken, kan ons die bevolkingsgetal van 1996 en die toename gebruik. As die bevolking van 1996 1,792,851 was en ons weet dat dit 'n toename van 2.35% van 1995 was, kan ons die volgende formule gebruik: Bevolking in 1995 = Bevolking in 1996 / (1 + toename in desimale vorm) Hierdie toename in desimale vorm is 0.0235. Dus, Bevolking in 1995 = 1,792,851 / (1 + 0.0235) = 1,792,851 / 1.0235 ≈ 1,752,506. Dus was die bevolking van die munisipaliteit in 1995 ongeveer 1,752,506.
