Exam 11: Exponential Functions

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The function The function   where V is value and t is time in years, can be used to find the value of a crane for the first 6 years of use. What is the value of the crane after 4 years and 3 months? Please round your answer to the nearest dollar. $ __________ where V is value and t is time in years, can be used to find the value of a crane for the first 6 years of use. What is the value of the crane after 4 years and 3 months? Please round your answer to the nearest dollar. $ __________

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Simplify. Simplify.

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Write the expression as a single logarithm. Write the expression as a single logarithm.

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Use properties of logarithms to expand the expression as much as possible. Use properties of logarithms to expand the expression as much as possible.

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

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Suppose you deposit $1,900 in an account with an annual interest rate of 7% compounded continuously. How much money would the account contain after 3 years. Please round your answer to the nearest cent. $__________

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Solve the equation. Solve the equation.   x = __________ x = __________

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Find the following logarithm to four decimal places, if necessary. Find the following logarithm to four decimal places, if necessary.

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Evaluate the function using the tables given below. Evaluate the function using the tables given below.   = __________ Table 1 Table 2 x f ( x ) x g ( x ) - 8 2 - 2 1 1 - 2 - 1 2 2 - 1 2 - 8 8 6 6 8 = __________ Table 1 Table 2 x f ( x ) x g ( x ) - 8 2 - 2 1 1 - 2 - 1 2 2 - 1 2 - 8 8 6 6 8

(Short Answer)
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Write the expression as a single logarithm. Write the expression as a single logarithm.

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Use the properties of logarithms to expand the following expression. Use the properties of logarithms to expand the following expression.

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Solve the equation. Solve the equation.   x = __________ x = __________

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In 1990, $699 billion were spent on health care. Health care expenditures, E , in billions of dollars, can be estimated using the function In 1990, $699 billion were spent on health care. Health care expenditures, E , in billions of dollars, can be estimated using the function   where t is time in years since 1970 (U.S. Census Bureau.) What is the expected health care expenditure in 2005? Round to the nearest billion. $ __________ billion What is the expected health care expenditure in 2006? Round to the nearest billion. $ __________ billion What is the expected health care expenditure in 2007? Round to the nearest billion. $ __________ billion where t is time in years since 1970 (U.S. Census Bureau.) What is the expected health care expenditure in 2005? Round to the nearest billion. $ __________ billion What is the expected health care expenditure in 2006? Round to the nearest billion. $ __________ billion What is the expected health care expenditure in 2007? Round to the nearest billion. $ __________ billion

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Solve the exponential equation. Solve the exponential equation.

(Multiple Choice)
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Simplify the following expression. Simplify the following expression.

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Use the change-of-base property to find the decimal approximation of the following logarithm. Round the answer to four decimal places, if necessary. Use the change-of-base property to find the decimal approximation of the following logarithm. Round the answer to four decimal places, if necessary.

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Solve the exponential equation. Round the answer to four decimal places, if necessary. Solve the exponential equation. Round the answer to four decimal places, if necessary.

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Solve the equation. Solve the equation.

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Evaluate the function using the tables given below. Evaluate the function using the tables given below.   = __________ Table 1 Table 2 x f ( x ) x g ( x ) - 9 6 - 6 4 4 - 6 - 4 6 6 - 4 6 - 9 9 7 7 9 = __________ Table 1 Table 2 x f ( x ) x g ( x ) - 9 6 - 6 4 4 - 6 - 4 6 6 - 4 6 - 9 9 7 7 9

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Simplify. Simplify.

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