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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 21
Multiple Choice
Contract the following expression using rules of logarithms. Write your answer as a single logarithm.
Question 22
Short Answer
Solve the equation for t.
Round your answer to 2 decimal places.
Question 23
Multiple Choice
Which of the following is the exact solution to the equation?
Question 24
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 $420,000? Round your answer to the nearest year.
Question 25
Short Answer
The function,
, gives the value, V, of an investment t years after the initial investment. How many years until the value of the investment doubles? Round your answer to the nearest year.
Question 26
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 $490,000? Round your answer to the nearest year.
Question 27
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 28
Short Answer
The number of people, N, visiting a particular web site increases 10% each week. If the web site had 90,000 visitors this week, how many weeks until the number of people reaches 340,000? Round your answer to the nearest week.
Question 29
Short Answer
The number of people, N, visiting a particular web site increases 8% each week. If the web site had 20,000 visitors this week, how many weeks until the number of people doubles? Round your answer to the nearest week.
Question 30
Short Answer
Radium-226 has a half-life of 1600 years. If a fossil has 44% of it's original Radium-226 left, how old is it? Round your answer to the nearest tenth of a year.
Question 31
Short Answer
Solve the equation for x.