h.w The EFISCEN wOod product model classifies wood products according to t! span. There are four classifications: short (1 year), medium short (4 years). long (16 years), and long (50 years). Based on data obtained from the Europ est Institute, the percentage of remaining wood products after i years for wo ucts with long life-spans (such as those used in the building industry) is give 100.3952 P(t) = 1 + 0.0316e0.0581 %3D (a) What is the decay rate? (b) What is the percentage of remaining wood products after 10 years? (c) How long does it take for the percentage of remaining wood product- 50%? (d) Explain why the numerator given in the model is reasonable.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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The EFISCEN wOod product model classifies wood products according to their life-
span. There are four classifications: short (1 year), medium short (4 years)., medium
long (16 years), and long (50 years). Based on data obtained from the European For-
est Institute, the percentage of remaining wood products after t years for wood prod-
ucts with long life-spans (such as those used in the building industry) is given by
100.3952
P(1) =
1 + 0.0316e0.0581
(a) What is the decay rate?
(b) What is the percentage of remaining wood products after 10 years?
(c) How long does it take for the percentage of remaining wood products to reach
50%?
(d) Explain why the numerator given in the model is reasonable.
Transcribed Image Text:h.w The EFISCEN wOod product model classifies wood products according to their life- span. There are four classifications: short (1 year), medium short (4 years)., medium long (16 years), and long (50 years). Based on data obtained from the European For- est Institute, the percentage of remaining wood products after t years for wood prod- ucts with long life-spans (such as those used in the building industry) is given by 100.3952 P(1) = 1 + 0.0316e0.0581 (a) What is the decay rate? (b) What is the percentage of remaining wood products after 10 years? (c) How long does it take for the percentage of remaining wood products to reach 50%? (d) Explain why the numerator given in the model is reasonable.
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