A researcher notices that when he removes a flower from a vase it loses 22% of its water content every day. After 7 days, there are 9 milligrams of water remaining in the flower. How many milligrams were there initially?
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Let us take the milligrams for initial water be X.
Then we can find the milligrams of water remaining by using the formula:
A = P (1 - r/100)ⁿ, where A = remaining
P = initial
r = rate of change
n = time
So remaining water is
= X * (1 - 22/100)⁷ milligrams
= X * (78/100)⁷ milligrams
ATQ,
X (78/100)⁷ = 9
⇒ X = 9 (100/78)⁷
⇒ X = 51.24 (approximately)
∴ initially there were 51.24 milligrams of water.
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