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IV. Goal: To use logs to solve application problems (4.5)
A. The population of Mathville is growing by 8% each year.
If there were 12,000
people in 1990…
a.
Write an equation for the population as a function of years since 1990.
b.
How long until the population reaches 25,000?
B. If a deposit of $1000 is made into an account earning 6% interest compounded
monthly, how long until the account doubles?
C. Suppose you invested $6000 with continuous compound interest and after 10
years, you had $20,000.
What was your continuous interest rate?
D. Ten grams of a new radioactive substance has been discovered by some USC
nursing students.
If it is decaying at a continuous rate of
%
2
1
1
per year, what is
its half – life?
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View Full Document E. The half – life of Radium is 1590 years.
How long until a sample shrinks to 30%
of the original?
F.
A picture supposedly painted by the artist Vermeer (1632 – 1675) contains 99.5%
of its carbon
 14 (which has a half – life of 5730 years).
From this information
decide if the picture is a fake.
G. Newton’s law of cooling
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This note was uploaded on 01/09/2012 for the course CHEM 102 taught by Professor Freeman during the Fall '08 term at South Carolina.
 Fall '08
 FREEMAN

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