Question

In firm , the production of bags increased from 16,000 to 25,000 in 2 years. Find the annual rate of
growth
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Answer 1

Answer:

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TheLostMonkMaths AryaBhatta

original prodution = 16000

.

after 2 years :

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new production = 25000

.

Find the annual rate of growth :

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since the time = 2yrs so

.

let the annual rate of growth be ' r %'

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new producion

.

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

.

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

.

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

.

r = 25%

Answer:

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annual rate of growth = 25%

Step-by-step explanation:

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