Question

in a firm, the production of bags increased from 16000 to 25000 in 2 yrs...find the annual rate of growth

Answer 1

original prodution = 16000

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after 2 years :
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new production = 25000

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Find the annual rate of growth :
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since the time = 2yrs so

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let the annual rate of growth be ' r %'

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new producion

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= original production [ 1 + ( r / 100 ) ]^t

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25000 = 16000 [ 1 + ( r / 100 ) ]^2

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25000 / 16000 = [ 1 + ( r/ 100 ) ]^2


.
25 / 16 = [ 1 + ( r / 100 ) ]^2

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1 + ( r/ 100 ) = √( 25 / 16 )

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1 + ( r / 100 ) = √25 / √16

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1 + ( r / 100 ) = 5 / 4

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r / 100 = (5 / 4 ) - 1

r / 100 = 1 / 4 => r = 100 / 4

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r = 25%

Answer:
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annual rate of growth = 25%
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Answer 2

Step-by-step explanation:

answer is attached

hope it helps you