Math 180
Complex Numbers
(Sections 12.1-12.3)
12.1 Basic Definitions
1= j
1= j
We call
and
2
j =1
the imaginary unit.
Exercise 1: Express the following square roots in terms of j
a. 121=
b 49=
c.
0.01=
e.
d.
4 =
5
=
9
NOTE 1:
a a= a a always holds for
Math 180
Exponential and Logarithmic Functions
(Sections 13.1-13.2)
13.1 Exponential Function
Definitions:
The exponential function is defined as
b>0, b 1 (i.e.
where
(i.e.
x
b
y=b x
is a positive constant), and
x
is any real number
b
x
is the exponent
is
Math 180
Exponential and Logarithmic Functions ( cont-d)
(Sections 13.4-13.6)
13.4 Logarithms to the Base 10
Definition:
Logarithms to the base 10 are called common logarithms.
log x=log 10 x
(i.e. when we write log x
For the function
logarithm by
withou
Math 180
Exponents and Radicals
(Sections 11.1-11.3)
11.1 Simplifying Expressions with Integral Exponents
EXPONENT RULES. Assuming m and n are positive integers, the following rules apply:
1.
m
n
a a =a
m+ n
x 3 x 4 =
2.
am
an
x7
m n
a
, where m > n and a
Math 180
Complex Numbers( cont-d)
(Sections 12.4 - 12.6)
12.4 Polar Form of a Complex Number
Lets represent the complex number
x+ jy
on the complex plane as a vector in
standard position: the magnitude of the vector is represented by r, and the angle in
s
Math 180
Exponents and Radicals (cont.)
(Sections 11.4, 11.5, 14.4)
11.4 Addition and Subtraction of Radicals
Recall: We call two or more algebraic terms like terms if they differ only by a
numerical coefficient.
Similarly, radicals are similar if they di
MATH 170 Quiz #1A Name: glullro V6
1. Solve the following oblique triangle:
(Round answers to one decimal place)
b = 18.7cm a = 15.8cm c = 29.1cm a) f a! Q
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MATH 170 - Review Exercises for Test 2
1. Factor the following expressions:
(a)
(b)
(c)
(d)
(e)
(f)
(g)
2. Simplify the following expressions:
(a)
(b)
3. Simplify the following expression:
4. Perform the indicated operations and simplify.
5. Perform the i
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Print
MCV4U-B Lesson 17
Lesson 17 Assessment suggested answers
I N D E PE N D E NT LE AR N I N G C E N T R E
CE N T RE D T U D E S I N D P E N DA N T E S
Lesson 17 Assessment suggested answers
Task 1: Knowledge and Understanding questions
1. (5 mark
Calculus and Vectors, MCV4U-B
Practice Test
Time: 2 hours
Total Marks: 100
Score: _%
Instructions
The Practice Test uses the same format, type of questions, marking scheme, and length as the
Final Test.
To get the most out of this Practice Test, allo
Worksheet Contribution Margin
Contribution Margin ($) = Selling price variable costs
Contribution Margin (%) = Selling price variable costs
x 100
Selling price
1. Rainteck has designed a rain poncho that doubles as a shopping bag. This poncho retails
for
Fundamentals of
Programming ITM200
Decision
Write & Evaluate Boolean Expressions
Use If -else and switch-case Statements to
implement decisions
Copyright Youcef Derbal, 2010-2016
[ a = 1 ] [ b = 2 ] [ c = 3 ]
as
bs
cs
[ x = 1 ]
xs
Homework
Data Types &
CITM410 D10 - Business Process Design
Module 4 Group Exercise-Group 7
Aida Ramandani- Led group discussions /Contributed to project
Rene Elizabeth Richards- Contributed to project
Vishali Sivakumar- Contributed to project
Submitted: Saturday, October 8, 2
Worksheet Type of Expenses
1. Paderno is a cookware company based in Winslow, PEI that sells its products through
retail outlets and online. It cookware sets sell for an average of $800. The costs associated
with the online side of the business are as fol
MKT100 Principles of Marketing
Written Assignment
Fall 2016
Situation Analysis Report
The completed assignment must be submitted electronically by 5 pm on Wednesday
October 26 into the Assignment Dropbox in D2L. Each assignment is automatically
submitted
Q1W8 2.3 Parallel Lines Dropbox Assignment
[Cluster 2: Congruence, Lines, and Proofs]
Directions: Use the Examples on the left when given to complete the Your Turn
problems on the right. When not given an example, refer back to the previous problems if
yo
Q1W6 2.2 Proofs Dropbox Assignment Part 1
[Cluster 2: Congruence, Lines, and Proofs]
Directions: Use the Examples when given to help you complete the Your Turn
problems. When not given an example, refer back to the previous problems if you need
help. Plea
Q1W3 - 1.3 Reflections Dropbox Assignment
[Unit 1: Transformations]
Directions: Use the Notes/Hints on the left to complete the Your Turn problems on the
right. Refer back to the previous problems or classroom pages if you need help. Please
make sure to S
Q1W7 2.2 Proofs Dropbox Assignment Part 2
[Cluster 2: Congruence, Lines, and Proofs]
Directions: Use the Examples to help you complete the Your Turn problems. When not
given an example, refer back to the previous problems if you need help. Please make sur
Q1W8 2.4 Perpendicular Lines Dropbox Assignment
[Cluster 2: Congruence, Lines, and Proofs]
Directions: Complete the Your Turn problems. Refer back to the lesson pages and
videos in the classroom if you need help. Please make sure to Show ALL Work by eithe
Math 119
Mathematics of Finance
Part 2
Trade Discount
Simple Merchandising Chain
Manufacturer Wholesaler Retailer Consumer
The price quoted from one of the first two sectors to another
often involves trade discounts.
A Trade Discount is a reduction of a c
Course Outline
School:
School of Business
Department:
Business & Management
Program:
Accounting, Business, Finance,
Human Resources and Marketing
Course Title:
Mathematics of Finance Part 2
Course Code:
Math119
Total Course Hours:
60
Prerequisites/Co-requ
Equivalent Series of Payments
The following is a step-by-step approach to find an equivalent series of
payments.
1. Calculate the maturity values of the original set of obligations, if
necessary, and place all maturity values on a timeline.
2. Place the k
EQUATIO S OF VALUE
Often it is desirable to restructure a series of debts. This restructuring
may take the form of paying the debts earlier or arranging to pay the
debts at a later time. It may include changing both the timing of the
payments and the numb
MARKUP
( MARGI or GROSS PROFIT )
From the retailers point of view there are two basic components to retail
pricing.
1. Cost of Buying (or just Cost denoted by C).
eg. A store pays $30 for an item.
C = $30
2. Markup (denoted by M). Also called Margin or Gr