ANSWERS
12 c)1 d) 0 15. a)noneb) all 16. a)2 b)4 c)3 d) 5
65
17. all values except
0x
Chapter 1
b)
Getting Started, p. 2
1. a)250
f 21 000b) 760 f 15202. a)yes
b)no 3. a)nob)yes4. grasshopper
5. a)1000 f 20 000
1 6. a)the soprano
b)
b) probably not
11
Re
GETTING STARTED
Store Profits
A company is hiring staff for its new
mega-bookstore. If there are too few
staff members, they will not be able
to run the store effectively. If there are
too many staff members, their salary
costs will be too high.
A consult
A Tour of Your Textbook
To understand the textbooks structure, begin by taking a brief tour.
CHAPTER INTRODUCTION
SPECIFIC EXPECTATIONS
The specific expectations listed on the first page of each chapter describe the
concepts and skills that you are expec
REVIEW OF KEY CONCEPTS
4.1 Reviewing the Trigonometry of Right Triangles
Refer to the Key Concepts on page 271.
Solve each triangle. Round each side length to the nearest tenth of a
unit, and each angle to the nearest tenth of a degree.
1.
a)
b)
A
9.7 cm
CHALLENGE PROBLEMS
1. Buy or LeaseA
company is considering the possibility of acquiring
new computer equipment for $400 000 cash. The salvage value is
estimated to be $50 000 at the end of the 6-year life of the equipment.
Maintenance costs will be $4000
8.3
Technology: Loci and Conics
The diagram shows a double cone. The two cones have one point
in common.
The intersection of a double cone and a plane is called a conic section
or a conic.
The circle, ellipse, parabola, and hyperbola are the cross section
6.6
Geometric Series
The following is a geometric sequence.
3, 6, 12, 24, , where
3 aand r 2.
A geometric series is the sum of the terms
of a geometric sequence.
The geometric series that corresponds to
the geometric sequence above is
3 6 12 24 , where a
7.2
Compound Interest
For compound interest, the interest is reinvested
at regular intervals. The interest is added to the
principal to earn interest for the next interval of
time, or compounding period. If $4000 is
invested at 6.25% per annum, compounded
CUMULATIVE REVIEW: CHAPTERS 7 AND 8
Chapter 7
Chapter 8
1. a) Graph the locus of points that are
Leila is borrowing $65 000 for 4 years.
She is deciding between a loan at 6.95%
equidistant
per
from the lines
3xy7 and
annum, compounded monthly, and a loan
8.5
The Ellipse
Kidney stones are crystal-like objects
that can form in the kidneys.
Traditionally, people have undergone
surgery to remove them. In a process
called lithotripsy, kidney stones can
now be removed without surgery. To
remove the stones, doct
8.9
Intersection of
Lines and Conics
The centre circle
of a hockey rink
has a radius of
4.5 m. A diameter
of the centre circle
lies on the centre
red line.
centre (red)
centre circle
line
I NVESTIGATE & I
NQUIRE
A coordinate grid is superimposed on a hock
7.5
Amount of an Ordinary Annuity
Nigel is saving $700 each year for a trip.
Rashid is saving $200 at the end of each
month for university. Jeanine is depositing
$875 at the end of each 3 months for 3
years. Marcel is saving for a home
entertainment centr
7.4
Present Value
Often, when people invest money, they have a goal
for which they want a specific amount of money at
a future date. Ramona hopes to buy a house in
3 years and estimates that a down payment of
$70 000 should be sufficient. Ravis grandparen
B
APPENDIX
G RAPHING CALCULATOR K EYSTROKES
Note: Unless otherwise stated, all keystrokes are for the TI-83 Plus or
TI-83 graphing calculator. Where stated, keystrokes are provided for the
TI-92 Plus or TI-92 graphing calculator.
Function or Instruction
a
8.4
The Circle
The epicentre of an earthquake is where the earthquake
originates on the Earths surface. Seismologists find an
epicentre by taking seismic readings from three
recording stations in different locations. Each reading
indicates the distance of
GETTING STARTED
Comparing Costs
1. Max can buy
a)What factors
a stereo system, paying $599 now or paying $750 in a year.
would you suggest Max consider when deciding which plan to
accept? How might these vary from factors you would suggest to someone else
8.6
The Hyperbola
Some ships navigate using a radio
navigation system called LORAN,
which is an acronym for LOng RAnge
Navigation. A ship receives radio
signals from pairs of transmitting
stations that send signals at the same
time. The LORAN equipment de
C
APPENDIX
COMPUTER SOFTWARE
THE G EOMETER S SKETCHPAD
Preferences
Before you begin using The Geometers Sketchpad, you may
need to change some of the default settings in the program.
Click on the Display menu and choose Preferences.
A window like the one
8.8
Conics With Equations in the Form
2
2
ax + by + 2gx + 2fy + c = 0
The CF-18 Hornet is a supersonic jet flown in Canada. It has a
maximum speed of Mach 1.8. The speed of sound is Mach 1.
When a plane like the Hornet breaks the sound barrier, it
produce
PROBLEM SOLVING
USING THE STRATEGIES
If A B 24, C D 32,
B D 48, and B
C 24, what is the
value of AB C D?
1. Numbers
2. Measurement The
Place the fewest possible
mathematical symbols between digits to
make the following equation true.
1 2 3 4 5 6 7 8 100
7.8
Mortgages
A knowledge of mortgages enables
you to make decisions about financial
arrangements when buying property.
The variety in amortization periods,
terms, amounts of mortgages, and
even interest rates, allows you to make
or combine choices. These
Investigate & Apply
Frieze Patterns
A frieze pattern is a pattern that repeats in one
direction. The patterns depend on the use of
transformations. Many cultures have used frieze
patterns to make decorative designs on
buildings, textiles, pottery, and so
6.5
Arithmetic Series
The following is an arithmetic sequence.
1, 3, 5, 7, 9,
A series is the sum of the terms of a sequence.
An arithmetic series is the sum of the terms of an
arithmetic sequence.
The series that corresponds to the sequence above is
1 3
7.7
Technology: Amortization Tables and
Spreadsheets
Generally, people must borrow money
when they purchase a car, house, or
condominium, so they arrange a loan
or mortgage. Loans and mortgages are
agreements between a money lender and
a borrower to finan
8.7
The Parabola
The Hubble Space Telescope orbits
the Earth at an altitude of
approximately 600 km. The
telescope takes about ninety minutes
to complete one orbit.
Since it orbits above the Earths
atmosphere, the telescope can
perform its scientific work
7.1
Investigation: Simple Interest, Arithmetic
Sequences, and Linear Growth
When you invest money in
a bank or other financial
institution, you are paid
interest for the use of your
money. The financial
institution uses your money
to earn money. When you
GETTING STARTED
Daylight Hours
A photoperiod is the number of daylight hours in a given day. Photoperiodism
is the response to changes in the photoperiod.
Photoperiodism is important in biology, because different species react to
changes in the photoperio