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limrnynz.
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A9. Give an example of a. sequence wheee
Name:
Date:
School:
Facilitator:
1.04 Simple and Compound Inequalities
Solve each compound inequality and graph its solution. Express each answer
in set notation as well. To graph the solution sets below, drag the appropriate
lines and arrows to the n
The Blockbuster Statistical Project
Name:
The Blockbuster Statistical Project
College:
The Blockbuster Statistical Project
VISUAL REPRESENTATION OF DATA:
PARETO CHART 1:
The most financially successful genres (based on number of films)
25
120.00%
100.00%
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WW Financ
ELASTICITY
LEC 4
ELASTICITY
A general concept used to quantify the
response in one variable when another
variable changes
elasticity of A with respect to B =
% A/ %B
Calculating Elasticities
Price per P
Pound
P
Price per
Pound
P1 = 3
P1 = 3
P2 = 2
P2 = 2
Objectives:
1. To find the intercepts of
a graph
2. To use symmetry as an
aid to graphing
3. To write the equation
of a circle and graph it
4. To write equations of
parallel and
perpendicular lines
As a class, use your
vast mathematical
knowledge to defi
1
TASK 1
Question #1.1
It is very important for companies to have a good pricing strategy as it than permits
them to earn good profit margin on its product or services and at the same time making it
appealing to the customers. Pricing strategies are very
Exercise 515
=3
+5
Subject to:
3
+
+
6,
(1)
4, (2)
6, (3)
+2
,
0.
(i)
The set of feasible points:
(ii)
The vertices of
(the set of feasible points) are , , , . Points are
shown on the graph above and have next coordinates:

Point
= (0,0).
is an ori
1
Problem #1
a.
Annual interest rate equal to:
Present value of cost of cruise equal to:
If the person saves
every year, then:
Therefore, you must have
Answer:
b.
to finance your trip.
.
In this case, we have:
Therefore, you must save
Answer:
.
every year
1
TASK 1
Question #1.1
It is very important for companies to have a good pricing strategy as it than permits
them to earn good profit margin on its product or services and at the same time making it
appealing to the customers. Pricing strategies are very
1
Problem #1
The initial cost of purchase is $1200:
= $1,200.
Both maintenance cost and depreciation are taxdeductible and the tax rate is 40%.
Thus, the depreciation tax shield for 5 years will be equal to:
$1,200 0.4 $480
=
= $96.
5
5
=
Annual maintena
Exercise 515
z=3 x 1+5 x 2 min
Subject to:
3 x1 + x 2 6, ( 1 )
x 1+ x 2 4, ( 2 )
x 1+2 x 2 6, (3 )
x 1 , x 2 0.
(i)
The set S
(ii)
The vertices of S (the set of feasible points) are
of feasible points:
are shown on the graph above and have next coordina
Exercise 515
Subject to:
(i)
The set
of feasible points:
(ii)
The vertices of
(the set of feasible points) are
shown on the graph above and have next coordinates:

Point
is an origin:
.
Basis
3
1
1
1
1
0
0
1
0
0
Solution
6
4
. Points are
1
3
2
5
0
0
0
1
Problem #1
a.
We have:
= 3 +
= 2 +
3.8
= 0.167 0
1.2
2.5
= 0.0833 0
1.2
Therefore, do both projects.
Hence, maximum possible consumption at
:
.
.
= 5.25 .
Therefore, do projects A and B, borrow 5.25M from the bank and use next periods cash
flow, 6.3M, t
1
Title Page
2
Question #1
The inferred population is all students from various colleges in Midwest. The size of this
population is much greater than the size of the sample.
Question #2
Mean
Standard Deviation
Minimum
Maximum
Range
Height Pulse Rate
67.96
Question #1
The inferred population is all students from various colleges in Midwest. The size of this
population is much greater than the size of the sample.
Question #2
The size of the sample is n=100 students.
1) Mean of Height ( h ) and Pulse Rate ( r
1
Problem #1
a.
We have:
NPV A =3+
3.8
=0.167 0
1.2
NPV B=2+
2.5
=0.0833 0
1.2
Therefore, do both projects.
Hence, maximum possible consumption at
t0
:
6.3 M
=5.25 M
.
1.2
Therefore, do projects A and B, borrow 5.25M from the bank and use next periods cas
1
TASK 1
Question #1.1
It is very important for companies to have a good pricing strategy as it than permits
them to earn good profit margin on its product or services and at the same time making it
appealing to the customers. Pricing strategies are very
1
Title Page
2
Question #1
The inferred population is all students from various colleges in Midwest. The size of this
population is much greater than the size of the sample.
Question #2
Height Pulse Rate
Mean
67.965
70.9
Standard Deviation 4.349
12.461
Mi
1
Question #2
(c)
The line
L is parallel to vector v = 1,2,3 . Given vector is u= 1,2,2 .
In this case, we have:
u = projv u=
(
u v
( )
2
v
v =
1 1+2 (2 ) +2 3
2 2
( 12+ 22+3 )
u=uu = 1
)
1,2,3 =
( 143 ) 1,2,3 = 143 , 37 , 149 .
3
3
9
11 17 19
,2 , 2
=
,
1
Title Page
2
Question #1
The inferred population is all students from various colleges in Midwest. The size of this
population is much greater than the size of the sample.
Question #2
Height Pulse Rate
Mean
67.965
70.9
Standard Deviation 4.349
12.461
Mi
1
Problem #1
0.16 2
r=
1+
1=0.1664=16.64 .
Annual interest rate equal to:
2
(
a.
)
Present value of cost of cruise equal to:
PV ( Cruise )=$ 6,000
1
=$ 6,000 0.463=$ 2,779.16 .
( 1+0.1664 )5
If the person saves C every year, then:
C
1
1
1
=C 3.226=$ 2,7
1
Problem #1
The initial cost of purchase is $1200:
Both maintenance cost and depreciation are taxdeductible and the tax rate is 40%.
Thus, the depreciation tax shield for 5 years will be equal to:
Annual maintenance costs are $200 per year paid at the y
1
Question #2
(c)
The line
is parallel to vector
. Given vector is
. In this
case, we have:
Thus, we have that vector
a.
Vector
b.
Vector
Answer:
(d)
can be decompose into two vectors:
is parallel to the line
.
is perpendicular to the line
, where
The pla
1
Problem #1
a.
We have:
Therefore, do both projects.
Hence, maximum possible consumption at
:
.
Therefore, do projects A and B, borrow 5.25M from the bank and use next periods cash
flow, 6.3M, to pay off the loan.
b.
We have:
2
Since Nelly is only intere