A container contained 80 litre of milk. From | vedclass

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Question

(D) The formula for the amount of substance remaining after $n$ operations is $A = x(1 - y/x)^n$,where $x$ is the initial quantity,$y$ is the quantity

Vedclass · Accepted Answer

$52.48$

Vedclass · Answer

(D) The formula for the amount of substance remaining after $n$ operations is $A = x(1 - y/x)^n$,where $x$ is the initial quantity,$y$ is the quantity replaced,and $n$ is the total number of operations.Here,$x = 80$,$y = 8$,and the process was performed once initially and repeated $3$ more times,so $n = 1 + 3 = 4$.Remaining milk $= 80(1 - 8/80)^4$$= 80(1 - 0.1)^4$$= 80(0.9)^4$$= 80 	imes 0.6561$$= 52.488 	ext{ litre}$.Rounding to the nearest provided option,the answer is $52.48$.

$A$ container contained $80$ $litre$ of milk. From this container $8$ $litre$ of milk was taken out and replaced by water. This process was further repeated $3$ times. How much milk is now contained in the container? (in $litre$)

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