Question

population of sabab is 16,000.Find the rate of increase in the population after 2 years. If the populator become 17,640
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Answer 1

Answer:

rate= 5%

Step-by-step explanation:

17,640= 16,000(1+ r/100)²

17,640÷16,000= ((100+r)/100)²

1.1025 = (100+r)² /100²

1.1025 = (100+r)²/10,000

1.1025 × 10,000 = (100+r)²

11,025 = 10,000 + r² + 200r

11,025 - 10,000 = r² + 200r

r² + 200r - 1025 = 0

r² + 205r - 5r -1025 = 0

r (r + 205) -5 (r+205) = 0

(r-5) (r+205) =0

r-5=0 r+205=0

r=5 r= -205

so, r=5%