In a 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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TheLostMonk
TheLostMonkMaths AryaBhatta
original prodution = 16000
.
after 2 years :
--------------------
new production = 25000
.
Find the annual rate of growth :
-----------------------------
since the time = 2yrs so
.
let the annual rate of growth be ' r %'
.
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
.
1 + ( r/ 100 ) = √( 25 / 16 )
.
1 + ( r / 100 ) = √25 / √16
.
1 + ( r / 100 ) = 5 / 4
.
r / 100 = (5 / 4 ) - 1
r / 100 = 1 / 4 => r = 100 / 4
.
r = 25%
Answer:
-------------
annual rate of growth = 25%
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Answered by
1
25% is the right answer..........
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