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Mathematics
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Explorations in College Algebra
Quiz 6: Logarithmic Links: Logarithmic and Exponential Functions
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Question 61
Multiple Choice
Which of the following is the exact solution to the equation:
Question 62
Short Answer
The function,
, gives the value, V, of an investment t years after the initial investment. How many years until the investment is worth $1,200? Round your answer to the nearest year.
Question 63
Short Answer
The function,
, gives the value, V, of an investment t years after the initial investment. How many years until the worth of the investment doubles? Round your answer to the nearest year.
Question 64
Short Answer
Upon her retirement, Mary begins to receive money from a retirement account. The function,
, gives the money remaining, M, in the account t years after her retirement. How many years until the account balance is $360,000? Round your answer to the nearest year.
Question 65
Short Answer
Upon her retirement, Mary begins to receive money from a retirement account. The function,
, gives the money remaining, M, in the account t years after her retirement. How many years until Mary has received half of the money from the account? Round your answer to the nearest year.
Question 66
Essay
Radium-226 has a half-life of 1600 years. A) Find the continuous decay rate. Write your answer as a percent rounded 4 decimal places. B) Then find the age of a fossil that has 67% of it's original Radium-226 left?Round your answer to the nearest year.
Question 67
Short Answer
Solve the equation for x.
Round your answer to 2 decimal places.
Question 68
Multiple Choice
Which of the following is the exact solution of the equation?
Question 69
Short Answer
Solve the equation for x.
Round your answer to 2 decimal places.
Question 70
Multiple Choice
Which of the following is the exact solution of the equation?
Question 71
Short Answer
Solve the equation for x.
Round your answer to 2 decimal places.
Question 72
Multiple Choice
Which of the following is the exact solution of the equation?
Question 73
Short Answer
Solve the equation for x.
Round your answer to 2 decimal places.
Question 74
Multiple Choice
Which of the following is the exact solution of the equation?
Question 75
Essay
The population of a town grew from 10,000 in 1999 to 12,000 in 2003. Find A) the annual growth rate and B) the continuou growth rate. Write your answer as a percent rounded to 2 decimal places, like 13.45%.