Exponential functions applications and review.

1. In 1995, the population of Calgary was 828 500, and was increasing at the
rate of 2.2% per year.
(a) Write an equation to represent the population of Calgary, P, as a
function of the number of years, y, since 1995.

2. In 1995, the population of Calgary was 828 500, and was increasing at the
rate of 2.2% per year.
(b) Calculate how many years it would take for the population to
double.

3. In 1995, the population of Calgary was 828 500, and was increasing at the
rate of 2.2% per year.
(c) Calculate when the population would reach 1 million.

4. In 1995, the population of Calgary was 828 500, and was increasing at the
rate of 2.2% per year.
(d) Write the equation in part (a) as an exponential function with base 2.
(e) Write the equation in part (a) as an exponential function with base e.

5. Calculate the number of years for an investment of $1000 to double at an
interest rate of 7.2% for each compunding period.
(d) daily

6. Polonium-210 is a radioactive element with a half-life of 20 weeks. From a
sample of 25 g, how much would remain after each length of time?
(a) 30 weeks (b) 14 weeks (c) 1 year (d) 511 days

7. Solve each of the following ...

8. Feedback From BOB
change of base law
Graphing
Natural Logarithms [ln]
Word problems
27^log[base3]9
quot;A=Pe^rtquot; method or the quot;A=P(1+r/n)^tnquot; method

9. Feedback From BOB
change of base law
Graphing
Natural Logarithms [ln]
Word problems
27^log[base3]9
quot;A=Pe^rtquot; method or the quot;A=P(1+r/n)^tnquot; method

10. Feedback From BOB
change of base law
Graphing
Natural Logarithms [ln]
Word problems
27^log[base3]9
quot;A=Pe^rtquot; method or the quot;A=P(1+r/n)^tnquot; method

11. Feedback From BOB
change of base law
Graphing
Natural Logarithms [ln]
Word problems
27^log[base3]9
quot;A=Pe^rtquot; method or the quot;A=P(1+r/n)^tnquot; method

12. 1. Find the domain and range of f.
2. Find the horizontal asymptote of the graph.
3. Find the x and y intercepts of the graph. of f if there are any.
4. Sketch the graph of f.

13. 1. Find the domain and range of f.
2. Find the horizontal asymptote of the graph.
3. Find the x and y intercepts of the graph. of f if there are any.
4. Sketch the graph of f.

14. The decibal (dB) is used to measure
the loudness of sound. Barely audible
sound has a decibal level of 0 and an
intensity level of 10-12 W/m2 (watts
per square meter). Sound painful to the
ear has a decibal level of 130 and an
intensity of 10 W/m2. The formula
gives the decibal level of a sound whose intensity is I; I0 is the intensity
of barely audible sound. Some decibal levels and intensities are shown
in the table below; the intensity is given in watts per square meter.
(a) The intensity of thunder is 1012 times the intensity of barey audible sound.
What is the decibal level of thunder?
(b) If the decibal levels of a subway train entering a station and normal
conversation are 100 dB and 60 dB, respectively, how many times as intense as
normal conversation is the noise of the subway train?
The answer is here ...
ANSWER: 10 000 times

15. 12
(a) The intensity of thunder is 10
times the intensity of barey audible
sound. What is the decibal level of
thunder?
(b) If the decibal levels of a subway train entering a station and normal
conversation are 100 dB and 60 dB, respectively, how many times as intense as
normal conversation is the noise of the subway train?
The answer is here ...
ANSWER: 10 000 times

16. (b) If the decibal levels of a subway
train entering a station and normal
conversation are 100 dB and 60 dB,
respectively, how many times as
intense as normal conversation is the
noise of the subway train?
The answer is here ...
ANSWER: 10 000 times