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ulation of 2649. In 1920, the population was 7272. Use these two data points to fit a model of the form N(t) number of Painesville Residents t years after 1860. (Use t Also, round the value of k to four decimal places.) According to this model, what was the population of Painesville in 2010? (The 2010 census gave the population as 19,563) What could be some causes for such a vast discrepancy? For more on this, see Exercise 37. Noekt were N(t) is the 0 to represent the year 1860. 27 The population of Sasquatch in Bigfoot county is modeled by 120 P(t) 1+3.167e-0.05t where P(t) is the population of Sasquatch t years after 2010. (a) Find and interpret P(0). 1(b) Find the population of Sasquatch in Bigfoot county in 2013. Round your answer to the nearest Sasquatch. When will the population of Sasquatch in Bigfoot county reach 60? Round your answer to the nearest year. (d) Find and interpret the end behavior of the graph of y = P(t). Check your answer using a graphing utility. 28/The half-life of the radio active isotope Carbon-14 is about 5730 years. (a) Use Equation 6.5 to express the amount of Carbon-14 left from an initial N milligrams as a function of time t in years. (b) What percent age of the original amount of Carbon-14 is left after 20,000 years? (c) If an old wooden tool is found in a cave and the amount of Carbon-14 present in it is estimated to be only 42% of the original amount, approximately how old is the tool?

ulation of 2649. In 1920, the population was 7272. Use these two data points to fit a model of the form N(t) number of Painesville Residents t years after 1860. (Use t Also, round the value of k to four decimal places.) According to this model, what was the population of Painesville in 2010? (The 2010 census gave the population as 19,563) What could be some causes for such a vast discrepancy? For more on this, see Exercise 37. Noekt were N(t) is the 0 to represent the year 1860. 27 The population of Sasquatch in Bigfoot county is modeled by 120 P(t) 1+3.167e-0.05t where P(t) is the population of Sasquatch t years after 2010. (a) Find and interpret P(0). 1(b) Find the population of Sasquatch in Bigfoot county in 2013. Round your answer to the nearest Sasquatch. When will the population of Sasquatch in Bigfoot county reach 60? Round your answer to the nearest year. (d) Find and interpret the end behavior of the graph of y = P(t). Check your answer using a graphing utility. 28/The half-life of the radio active isotope Carbon-14 is about 5730 years. (a) Use Equation 6.5 to express the amount of Carbon-14 left from an initial N milligrams as a function of time t in years. (b) What percent age of the original amount of Carbon-14 is left after 20,000 years? (c) If an old wooden tool is found in a cave and the amount of Carbon-14 present in it is estimated to be only 42% of the original amount, approximately how old is the tool?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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Question 27 - (c)

ulation of 2649. In 1920, the population was 7272. Use these two data points to fit a model of the form N(t) number of Painesville Residents t years after 1860. (Use t Also, round the value of k to four decimal places.) According to this model, what was the population of Painesville in 2010? (The 2010 census gave the population as 19,563) What could be some causes for such a vast discrepancy? For more on this, see Exercise 37. Noekt were N(t) is the 0 to represent the year 1860. 27 The population of Sasquatch in Bigfoot county is modeled by 120 P(t) 1+3.167e-0.05t where P(t) is the population of Sasquatch t years after 2010. (a) Find and interpret P(0). 1(b) Find the population of Sasquatch in Bigfoot county in 2013. Round your answer to the nearest Sasquatch. When will the population of Sasquatch in Bigfoot county reach 60? Round your answer to the nearest year. (d) Find and interpret the end behavior of the graph of y = P(t). Check your answer using a graphing utility. 28/The half-life of the radio active isotope Carbon-14 is about 5730 years. (a) Use Equation 6.5 to express the amount of Carbon-14 left from an initial N milligrams as a function of time t in years. (b) What percent age of the original amount of Carbon-14 is left after 20,000 years? (c) If an old wooden tool is found in a cave and the amount of Carbon-14 present in it is estimated to be only 42% of the original amount, approximately how old is the tool?
Transcribed Image Text:ulation of 2649. In 1920, the population was 7272. Use these two data points to fit a model of the form N(t) number of Painesville Residents t years after 1860. (Use t Also, round the value of k to four decimal places.) According to this model, what was the population of Painesville in 2010? (The 2010 census gave the population as 19,563) What could be some causes for such a vast discrepancy? For more on this, see Exercise 37. Noekt were N(t) is the 0 to represent the year 1860. 27 The population of Sasquatch in Bigfoot county is modeled by 120 P(t) 1+3.167e-0.05t where P(t) is the population of Sasquatch t years after 2010. (a) Find and interpret P(0). 1(b) Find the population of Sasquatch in Bigfoot county in 2013. Round your answer to the nearest Sasquatch. When will the population of Sasquatch in Bigfoot county reach 60? Round your answer to the nearest year. (d) Find and interpret the end behavior of the graph of y = P(t). Check your answer using a graphing utility. 28/The half-life of the radio active isotope Carbon-14 is about 5730 years. (a) Use Equation 6.5 to express the amount of Carbon-14 left from an initial N milligrams as a function of time t in years. (b) What percent age of the original amount of Carbon-14 is left after 20,000 years? (c) If an old wooden tool is found in a cave and the amount of Carbon-14 present in it is estimated to be only 42% of the original amount, approximately how old is the tool?
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