in a factory the production of motorbikes was 40000 in a particular year which rose to 48400 in 2 years find the rate of growth per annum if it was uniform during two years
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Here is the solution:
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Final population = Initial population (1 + growth rate)ⁿ where n is the number of years.
Find the growth rate:
48400 = 40000( 1 + n)²
(1 + n)² = 48400 ÷ 40000
(1 + n)² = 1.21
1 + n = √1.21
1 + n = 1.1
n = 1.1 - 1
n = 0.1
Convert to percentage:
0.1 = 0.1 x 100% = 10%
Answer: The growth rate is 10%
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