a factory kept increasing its output by the same percentage every year. find the percentage if it is known that the output is doubled in the last two yeara
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let the amount of 1 year is x
after 2 years the amount will be 2x
A = p ( 1 + r/100) ^n
2x = x( 1+ r/100) ^2
2= ( 1+r/100)^2
2^1/2 = 1+ r/100
1.4142 - 1 = r/100
0.4142 = r/100
0.4142 × 100 = r
R = 41.42
after 2 years the amount will be 2x
A = p ( 1 + r/100) ^n
2x = x( 1+ r/100) ^2
2= ( 1+r/100)^2
2^1/2 = 1+ r/100
1.4142 - 1 = r/100
0.4142 = r/100
0.4142 × 100 = r
R = 41.42
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