A 14 gram sample of a substance that's used to preserve fruit and vegetables has a k-value of 0.1092. Find the substance's half-life, in days. Round your answer to the nearest tenth. N=Noe^-kt

Question

Mathematics

Ann Mitchell

12 March, 08:33

A 14 gram sample of a substance that's used to preserve fruit and vegetables has a k-value of 0.1092. Find the substance's half-life, in days. Round your answer to the nearest tenth. N=Noe^-kt

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Answers (1)

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Dillon Zuniga · Answer 1

t = 6.3

Step-by-step explanation:

N=Noe^ (-kt)

No = 14 grams

k =.1092

We want to find t when N = 7 or 1/2 of 14

N=Noe^ (-kt)

7 = 14 e ^ (-.1092t)

Divide each side by 14

1/2 = e ^ (-.1092t)

take the natural log of each side

ln (1/2) = ln e ^ (-.1092t)

ln (1/2) = -.1092t

Divide each side by -.1092

ln (1/2) / -.1092 = t

t≈6.3475

Rounding to the nearest tenth

t = 6.3