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Mathematics
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Functions Modeling Change
Quiz 5: Logarithmic Functions
Path 4
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Question 61
Short Answer
What annual interest rate, compounded weekly, is equivalent to an annual interest rate of 5.4% compounded continuously? Round your answer to the nearest thousandth of a percent, if necessary.
Question 62
Short Answer
A certain country is experiencing deflation and prices are falling by 2.8% each month. If a certain item currently costs $38, how much will the item cost in a year?
Question 63
Short Answer
Suppose a certain population decreases by one third every 7 years. If the population is initially 19,000, what is the size of the population after 10 years? Round your answer to the nearest whole number.
Question 64
Multiple Choice
Let
Which of the following is a simplified formula for
?
Question 65
Short Answer
The notation
means that the log base is unspecified. Given that
,
, and
, use properties of logs to find
.
Question 66
Short Answer
Solve
t for t to 2 decimal places if possible. If not possible, enter "not possible".
Question 67
Short Answer
Evaluate
without a calculator. Leave fractions in the form "A/B" (do not convert to decimals).
Question 68
Short Answer
Evaluate
without a calculator.
Question 69
Multiple Choice
Rewriting the statement
using exponents gives
Question 70
Multiple Choice
Rewriting the statement log y = x using exponents gives
Question 71
Multiple Choice
Rewriting
using logs gives