1) The magnitude M (moment magnitude) of an earthquake is represented by the equation M = log () where 104.4 joules is the assigned minimum E is the amount of energy released by the earthquake in joules and Eo measured released by an earthquake. What is the magnitude of an earthquake that released 1.4 · 1013 joules of %3D energy? Round to 2 decimal places. 2) The population of a small town is modeled by the equation y = 1650e0.5t where t is measured in years. a) In approximately how many years will the town's population reach 20,000? Round to the tenth of a year. b) What is the doubling time for the population? Round to 3 decimal places.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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1) The magnitude M (moment magnitude) of an earthquake is represented by the equation M = log (-)
where
= 104.4 joules is the assigned minimum
E is the amount of energy released by the earthquake in joules and Eo
measured released by an earthquake. What is the magnitude of an earthquake that released 1.4 · 1013 joules of
energy? Round to 2 decimal places.
2) The population of a small town is modeled by the equation y = 1650e0.5t where t is measured in years.
a) In approximately how many years will the town's population reach 20,000? Round to the tenth of a year.
b) What is the doubling time for the population? Round to 3 decimal places.
Transcribed Image Text:1) The magnitude M (moment magnitude) of an earthquake is represented by the equation M = log (-) where = 104.4 joules is the assigned minimum E is the amount of energy released by the earthquake in joules and Eo measured released by an earthquake. What is the magnitude of an earthquake that released 1.4 · 1013 joules of energy? Round to 2 decimal places. 2) The population of a small town is modeled by the equation y = 1650e0.5t where t is measured in years. a) In approximately how many years will the town's population reach 20,000? Round to the tenth of a year. b) What is the doubling time for the population? Round to 3 decimal places.
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