Exam 5: Exponential and Logarithmic Functions

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According to data obtained from the CBO, the total federal debt (in trillions of dollars) from 2001 through 2006 is given by According to data obtained from the CBO, the total federal debt (in trillions of dollars) from 2001 through 2006 is given by     where t is measured in years, with   corresponding to 2001.What was the total federal debt in 2004? Round answer to three decimal places. According to data obtained from the CBO, the total federal debt (in trillions of dollars) from 2001 through 2006 is given by     where t is measured in years, with   corresponding to 2001.What was the total federal debt in 2004? Round answer to three decimal places. where t is measured in years, with According to data obtained from the CBO, the total federal debt (in trillions of dollars) from 2001 through 2006 is given by     where t is measured in years, with   corresponding to 2001.What was the total federal debt in 2004? Round answer to three decimal places. corresponding to 2001.What was the total federal debt in 2004? Round answer to three decimal places.

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Julio purchased 1,100 shares of a certain stock for $26,750 (including commissions).He sold the shares 5 year(s) later and received $32,500 after deducting commissions.Find the effective annual rate of return on his investment over the 5-year period.Round your answer to the nearest hundredth. __________%

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Find the accumulated amount A if the principal P is invested at an interest rate of r per year for t years.Round your answer to the nearest cent. P = $2,600, r = 6%, t = 10, compounded semiannually $__________

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Evaluate the expression. Evaluate the expression.

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Find the effective rate corresponding to the given nominal rate.Round your answers to three decimal places. 8% / year compounded monthly Find the effective rate corresponding to the given nominal rate.Round your answers to three decimal places. 8% / year compounded monthly   _____% 8% / year compounded daily   _____% _____% 8% / year compounded daily Find the effective rate corresponding to the given nominal rate.Round your answers to three decimal places. 8% / year compounded monthly   _____% 8% / year compounded daily   _____% _____%

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A study on worldwide oil use was prepared for a major oil company.The study predicted that the amount of oil used to fuel productivity in a certain country is given by A study on worldwide oil use was prepared for a major oil company.The study predicted that the amount of oil used to fuel productivity in a certain country is given by   where f (t) denotes the number of barrels per $1,000 of economic output and t is measured in decades (   corresponds to 1965).Compute   and   . Round the answer to the nearest hundredth. where f (t) denotes the number of barrels per $1,000 of economic output and t is measured in decades ( A study on worldwide oil use was prepared for a major oil company.The study predicted that the amount of oil used to fuel productivity in a certain country is given by   where f (t) denotes the number of barrels per $1,000 of economic output and t is measured in decades (   corresponds to 1965).Compute   and   . Round the answer to the nearest hundredth. corresponds to 1965).Compute A study on worldwide oil use was prepared for a major oil company.The study predicted that the amount of oil used to fuel productivity in a certain country is given by   where f (t) denotes the number of barrels per $1,000 of economic output and t is measured in decades (   corresponds to 1965).Compute   and   . Round the answer to the nearest hundredth. and A study on worldwide oil use was prepared for a major oil company.The study predicted that the amount of oil used to fuel productivity in a certain country is given by   where f (t) denotes the number of barrels per $1,000 of economic output and t is measured in decades (   corresponds to 1965).Compute   and   . Round the answer to the nearest hundredth. . Round the answer to the nearest hundredth.

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On the Richter scale, the magnitude R of an earthquake is given by the formula On the Richter scale, the magnitude R of an earthquake is given by the formula   where I is the intensity of the earthquake being measured and   is the standard reference intensity.Suppose an earthquake is measured with a magnitude of 6 on the Richter scale with an error of at most 2%.Use differentials to find the error in the intensity of the earthquake.Round your answer to the nearest integer. where I is the intensity of the earthquake being measured and On the Richter scale, the magnitude R of an earthquake is given by the formula   where I is the intensity of the earthquake being measured and   is the standard reference intensity.Suppose an earthquake is measured with a magnitude of 6 on the Richter scale with an error of at most 2%.Use differentials to find the error in the intensity of the earthquake.Round your answer to the nearest integer. is the standard reference intensity.Suppose an earthquake is measured with a magnitude of 6 on the Richter scale with an error of at most 2%.Use differentials to find the error in the intensity of the earthquake.Round your answer to the nearest integer.

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Solve the equation for x. Solve the equation for x.

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On the Richter scale, the magnitude On the Richter scale, the magnitude   of an earthquake is given by the formula   where   is the intensity of the earthquake being measured and   is the standard reference intensity. Express the intensity   of an earthquake of magnitude   in terms of the standard intensity   . Express the intensity   of an earthquake of magnitude   in terms of the standard intensity   . How many times greater is the intensity of an earthquake of magnitude 7 than one of magnitude 5? In modern times the greatest loss of life attributable to an earthquake occurred in eastern China in 1976.Known as the Tangshan earthquake, it registered 8.2 on the Richter scale.How does the intensity of this earthquake compare with the intensity of an earthquake of magnitude   ? Round your answer to the nearest integer. of an earthquake is given by the formula On the Richter scale, the magnitude   of an earthquake is given by the formula   where   is the intensity of the earthquake being measured and   is the standard reference intensity. Express the intensity   of an earthquake of magnitude   in terms of the standard intensity   . Express the intensity   of an earthquake of magnitude   in terms of the standard intensity   . How many times greater is the intensity of an earthquake of magnitude 7 than one of magnitude 5? In modern times the greatest loss of life attributable to an earthquake occurred in eastern China in 1976.Known as the Tangshan earthquake, it registered 8.2 on the Richter scale.How does the intensity of this earthquake compare with the intensity of an earthquake of magnitude   ? Round your answer to the nearest integer. where On the Richter scale, the magnitude   of an earthquake is given by the formula   where   is the intensity of the earthquake being measured and   is the standard reference intensity. Express the intensity   of an earthquake of magnitude   in terms of the standard intensity   . Express the intensity   of an earthquake of magnitude   in terms of the standard intensity   . How many times greater is the intensity of an earthquake of magnitude 7 than one of magnitude 5? In modern times the greatest loss of life attributable to an earthquake occurred in eastern China in 1976.Known as the Tangshan earthquake, it registered 8.2 on the Richter scale.How does the intensity of this earthquake compare with the intensity of an earthquake of magnitude   ? Round your answer to the nearest integer. is the intensity of the earthquake being measured and On the Richter scale, the magnitude   of an earthquake is given by the formula   where   is the intensity of the earthquake being measured and   is the standard reference intensity. Express the intensity   of an earthquake of magnitude   in terms of the standard intensity   . Express the intensity   of an earthquake of magnitude   in terms of the standard intensity   . How many times greater is the intensity of an earthquake of magnitude 7 than one of magnitude 5? In modern times the greatest loss of life attributable to an earthquake occurred in eastern China in 1976.Known as the Tangshan earthquake, it registered 8.2 on the Richter scale.How does the intensity of this earthquake compare with the intensity of an earthquake of magnitude   ? Round your answer to the nearest integer. is the standard reference intensity. Express the intensity On the Richter scale, the magnitude   of an earthquake is given by the formula   where   is the intensity of the earthquake being measured and   is the standard reference intensity. Express the intensity   of an earthquake of magnitude   in terms of the standard intensity   . Express the intensity   of an earthquake of magnitude   in terms of the standard intensity   . How many times greater is the intensity of an earthquake of magnitude 7 than one of magnitude 5? In modern times the greatest loss of life attributable to an earthquake occurred in eastern China in 1976.Known as the Tangshan earthquake, it registered 8.2 on the Richter scale.How does the intensity of this earthquake compare with the intensity of an earthquake of magnitude   ? Round your answer to the nearest integer. of an earthquake of magnitude On the Richter scale, the magnitude   of an earthquake is given by the formula   where   is the intensity of the earthquake being measured and   is the standard reference intensity. Express the intensity   of an earthquake of magnitude   in terms of the standard intensity   . Express the intensity   of an earthquake of magnitude   in terms of the standard intensity   . How many times greater is the intensity of an earthquake of magnitude 7 than one of magnitude 5? In modern times the greatest loss of life attributable to an earthquake occurred in eastern China in 1976.Known as the Tangshan earthquake, it registered 8.2 on the Richter scale.How does the intensity of this earthquake compare with the intensity of an earthquake of magnitude   ? Round your answer to the nearest integer. in terms of the standard intensity On the Richter scale, the magnitude   of an earthquake is given by the formula   where   is the intensity of the earthquake being measured and   is the standard reference intensity. Express the intensity   of an earthquake of magnitude   in terms of the standard intensity   . Express the intensity   of an earthquake of magnitude   in terms of the standard intensity   . How many times greater is the intensity of an earthquake of magnitude 7 than one of magnitude 5? In modern times the greatest loss of life attributable to an earthquake occurred in eastern China in 1976.Known as the Tangshan earthquake, it registered 8.2 on the Richter scale.How does the intensity of this earthquake compare with the intensity of an earthquake of magnitude   ? Round your answer to the nearest integer. . Express the intensity On the Richter scale, the magnitude   of an earthquake is given by the formula   where   is the intensity of the earthquake being measured and   is the standard reference intensity. Express the intensity   of an earthquake of magnitude   in terms of the standard intensity   . Express the intensity   of an earthquake of magnitude   in terms of the standard intensity   . How many times greater is the intensity of an earthquake of magnitude 7 than one of magnitude 5? In modern times the greatest loss of life attributable to an earthquake occurred in eastern China in 1976.Known as the Tangshan earthquake, it registered 8.2 on the Richter scale.How does the intensity of this earthquake compare with the intensity of an earthquake of magnitude   ? Round your answer to the nearest integer. of an earthquake of magnitude On the Richter scale, the magnitude   of an earthquake is given by the formula   where   is the intensity of the earthquake being measured and   is the standard reference intensity. Express the intensity   of an earthquake of magnitude   in terms of the standard intensity   . Express the intensity   of an earthquake of magnitude   in terms of the standard intensity   . How many times greater is the intensity of an earthquake of magnitude 7 than one of magnitude 5? In modern times the greatest loss of life attributable to an earthquake occurred in eastern China in 1976.Known as the Tangshan earthquake, it registered 8.2 on the Richter scale.How does the intensity of this earthquake compare with the intensity of an earthquake of magnitude   ? Round your answer to the nearest integer. in terms of the standard intensity On the Richter scale, the magnitude   of an earthquake is given by the formula   where   is the intensity of the earthquake being measured and   is the standard reference intensity. Express the intensity   of an earthquake of magnitude   in terms of the standard intensity   . Express the intensity   of an earthquake of magnitude   in terms of the standard intensity   . How many times greater is the intensity of an earthquake of magnitude 7 than one of magnitude 5? In modern times the greatest loss of life attributable to an earthquake occurred in eastern China in 1976.Known as the Tangshan earthquake, it registered 8.2 on the Richter scale.How does the intensity of this earthquake compare with the intensity of an earthquake of magnitude   ? Round your answer to the nearest integer. . How many times greater is the intensity of an earthquake of magnitude 7 than one of magnitude 5? In modern times the greatest loss of life attributable to an earthquake occurred in eastern China in 1976.Known as the Tangshan earthquake, it registered 8.2 on the Richter scale.How does the intensity of this earthquake compare with the intensity of an earthquake of magnitude On the Richter scale, the magnitude   of an earthquake is given by the formula   where   is the intensity of the earthquake being measured and   is the standard reference intensity. Express the intensity   of an earthquake of magnitude   in terms of the standard intensity   . Express the intensity   of an earthquake of magnitude   in terms of the standard intensity   . How many times greater is the intensity of an earthquake of magnitude 7 than one of magnitude 5? In modern times the greatest loss of life attributable to an earthquake occurred in eastern China in 1976.Known as the Tangshan earthquake, it registered 8.2 on the Richter scale.How does the intensity of this earthquake compare with the intensity of an earthquake of magnitude   ? Round your answer to the nearest integer. ? Round your answer to the nearest integer.

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Use the laws of logarithms to simplify the expression. Use the laws of logarithms to simplify the expression.

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Find the derivative of the function. Find the derivative of the function.

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The Ehrenberg equation The Ehrenberg equation   gives the relationship between the height (in meters) and the average weight W (in kilograms) for children between 5 and 13 years of age. Round your answer to the nearest tenth. What is the average weight of a 10-year-old child who stands at 1.62 m tall?   kg Use differentials to estimate the change in the average weight of a 10-year-old child whose height increases from 1.62 m to 1.67 m.   kg gives the relationship between the height (in meters) and the average weight W (in kilograms) for children between 5 and 13 years of age. Round your answer to the nearest tenth. What is the average weight of a 10-year-old child who stands at 1.62 m tall? The Ehrenberg equation   gives the relationship between the height (in meters) and the average weight W (in kilograms) for children between 5 and 13 years of age. Round your answer to the nearest tenth. What is the average weight of a 10-year-old child who stands at 1.62 m tall?   kg Use differentials to estimate the change in the average weight of a 10-year-old child whose height increases from 1.62 m to 1.67 m.   kg kg Use differentials to estimate the change in the average weight of a 10-year-old child whose height increases from 1.62 m to 1.67 m. The Ehrenberg equation   gives the relationship between the height (in meters) and the average weight W (in kilograms) for children between 5 and 13 years of age. Round your answer to the nearest tenth. What is the average weight of a 10-year-old child who stands at 1.62 m tall?   kg Use differentials to estimate the change in the average weight of a 10-year-old child whose height increases from 1.62 m to 1.67 m.   kg kg

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Solve the equation for x. Solve the equation for x.

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Use logarithms to solve the equation for t. Use logarithms to solve the equation for t.

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Find the derivative of the function. Find the derivative of the function.

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Find the derivative of the function. Find the derivative of the function.

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Find the derivative of the function. Find the derivative of the function.

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Evaluate the expression. Evaluate the expression.   = __________ = __________

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