Solving for an Unknown Exponent4

1
Solving for an Unknown Exponent4
If 1000 is invested at 8 compounded quarterly,
how long will it take to grow to 1400? Tomastik
uses t in quarters and the common logarithm
log10 . We will use t in years and the natural
logarithm ln .
2
Doubling, Halving, Log Regression

• DOUBLING TIME 6,8
• HALF-LIFE 7
• LOGARITHMIC REGRESSION 10

M160-L15 1.8b
3
DOUBLING TIME 6
If money is compounded annually at 4, how long
does it take to double?
4
DOUBLING TIME 6
If money is compounded annually at 4, the
equation can be written in terms of the doubling
time.
5
DOUBLING TIME 8
If 1000 is compounded continuously at 9 , how
long does it take to double?
6
DOUBLING TIME 8
If 1000 is compounded continuously at 9 , the
equation can be written in terms of the doubling
time.
7
HALF-LIFE 7
In 1.52 we learned that radioactive Iodine-131
decays over time according to the equation
with t in
days. Find the half-life of this substance.
8
HALF-LIFE 7
If money is compounded annually at 4, the
equation can be written in terms of the doubling
time.
9
LOGARITHMIC REGRESSION 10
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