Asssinment Basic Maths
-
Upload
shivani4598 -
Category
Documents
-
view
227 -
download
0
Transcript of Asssinment Basic Maths
-
7/28/2019 Asssinment Basic Maths
1/25
My name Tamilarrasi d/o Rajamoney. I am from Preparation CourseBachelor of Eduucation Programme (semester 1). First of all, I would like to thank
my basic mathemathic lecture Pn. Rafidah binti Wahap, who have gave this
wonderfull opputunity to express my thoughts during Im doing this assignment.
The topic that she gave me is Fibonacci Sequence . without her guidance and
assistance I would not willing to finish this assignment.During Im doing this assignment, a have faced a lot of troubles exspeacially
to gather all my otes on the topic Fibonacci sequence. Its make me feel some
difficulities to find out my notes. Only few of my seniors knows about this topics
and I found out that they also not that sure about my assignment topic. Besides
that, there are some problems on connecting wireless in our campus. Recently, I
become to know that the wireless in our campus has blocked for few weeks. Its
make me trouble to find out ideas avout my topic in internet.
I also have to thank my parents who support me in finance category. They
have send me some moral supports when doing my assignment. My friends also
give me some advises to make it better. They also give me some guidance on
steps and preparation of my project.
Eventhough I face a lot of troubles, I have gain many benefits after Ive finish
this project. Finally, Ive finish my assignment completely and successfully.
Thank you!
-
7/28/2019 Asssinment Basic Maths
2/25
BiographyLeonardo was born in Pisa, Italy in about 1170. His father Guglielmo was nicknamed
Bonaccio ("good natured" or "simple"). Leonardo's mother, Alessandra, died when he
was nine years old. Leonardo was posthumously given the nickname Fibonacci (derived
from filius Bonacci, meaning son ofBonaccio)Guglielmo directed a trading post (by some accounts he was the consultant for Pisa)
in Bugia, a port east of Algiers in the Almohad dynasty's sultanate in North Africa (now
Bejaia, Algeria). As a young boy, Leonardo traveled there to help him. This is where he
learned about the Hindu-Arabic numeral system.
Recognizing that arithmetic with Hindu-Arabic numerals is
simpler and more efficient than with Roman numerals, Fibonacci
traveled throughout the Mediterranean world to study under the
leading Arab mathematicians of the time. Leonardo returned from
his travels around 1200. In 1202, at age 32, he published what he
had learned inLiber Abaci(Book of Abacus orBook of
Calculation), and thereby introduced Hindu-Arabic numerals to Europe.
Leonardo of Pisa (c. 1170 c. 1250), also known as Leonardo Pisano, Leonardo
Bonacci, Leonardo Fibonacci, or, most commonly, simply Fibonacci, was an Italian
mathematician, considered by some "the most talented mathematician of the Middle
Ages".
Leonardo became an amicable guest of the EmperorFrederick II, who enjoyed
mathematics and science. In 1240 the Republic of Pisa honored Leonardo, referred toas Leonardo Bigollo by granting him a salary. In the 19th century, a statue of Fibonacci
was constructed and erected in Pisa. Today it is located in the western gallery of the
Camposanto, historical cemetery on the Piazza dei Miracoli.
http://en.wikipedia.org/wiki/Pisa,_Italyhttp://en.wikipedia.org/wiki/Posthumous_namehttp://en.wikipedia.org/w/index.php?title=Bonaccio&action=edit&redlink=1http://en.wikipedia.org/wiki/Bugiahttp://en.wikipedia.org/wiki/Almohad_dynastyhttp://en.wikipedia.org/wiki/North_Africahttp://en.wikipedia.org/wiki/Bejaiahttp://en.wikipedia.org/wiki/Algeriahttp://en.wikipedia.org/wiki/Roman_numeralshttp://en.wikipedia.org/wiki/Liber_Abacihttp://en.wikipedia.org/wiki/Liber_Abacihttp://en.wikipedia.org/wiki/Liber_Abacihttp://en.wikipedia.org/wiki/Italyhttp://en.wikipedia.org/wiki/Mathematicianhttp://en.wikipedia.org/wiki/Middle_Ageshttp://en.wikipedia.org/wiki/Middle_Ageshttp://en.wikipedia.org/wiki/Frederick_II,_Holy_Roman_Emperorhttp://en.wikipedia.org/wiki/Camposanto_Monumentalehttp://en.wikipedia.org/wiki/Piazza_dei_Miracolihttp://en.wikipedia.org/wiki/File:Fibonacci2.jpghttp://en.wikipedia.org/wiki/Piazza_dei_Miracolihttp://en.wikipedia.org/wiki/Camposanto_Monumentalehttp://en.wikipedia.org/wiki/Frederick_II,_Holy_Roman_Emperorhttp://en.wikipedia.org/wiki/Middle_Ageshttp://en.wikipedia.org/wiki/Middle_Ageshttp://en.wikipedia.org/wiki/Mathematicianhttp://en.wikipedia.org/wiki/Italyhttp://en.wikipedia.org/wiki/Liber_Abacihttp://en.wikipedia.org/wiki/Roman_numeralshttp://en.wikipedia.org/wiki/Algeriahttp://en.wikipedia.org/wiki/Bejaiahttp://en.wikipedia.org/wiki/North_Africahttp://en.wikipedia.org/wiki/Almohad_dynastyhttp://en.wikipedia.org/wiki/Bugiahttp://en.wikipedia.org/w/index.php?title=Bonaccio&action=edit&redlink=1http://en.wikipedia.org/wiki/Posthumous_namehttp://en.wikipedia.org/wiki/Pisa,_Italy -
7/28/2019 Asssinment Basic Maths
3/25
Fibonacci sequenceIt is easy to see that 1 pair will be produced the first month, and 1 pair also in the
second month (since the new pair produced in the first month is not yet mature), and in
the third month 2 pairs will be produced, one by the original pair and one by the pair
which was produced in the first month. In the fourth month 3 pairs will be produced, and
in the fifth month 5 pairs. After this things expand rapidly, and we get the following
sequence of numbers:
In the Fibonacci sequence of numbers, each number is the sum of the previous twonumbers, starting with 0 and 1. Thus the sequence begins 0, 1, 1, 2, 3, 5, 8, 13, 21, 34,
55, 89, 144, 233, 377, 610 etc. The higher up in the sequence, the closer two
consecutive "Fibonacci numbers" of the sequence divided by each other will approach
the golden ratio (approximately 1 : 1.618 or 0.61
The Fibonacci sequence in sound, starting with harmonic intervals going up, and
melodic intervals going down.In mathematics, the Fibonacci numbers are the following
sequence of numbers:
By definition, the first two Fibonacci numbers are 0 and 1, and each remaining
number is the sum of the previous two. Some sources omit the initial 0, instead
beginning the sequence with two 1s.In mathematical terms, the sequence Fn of
Fibonacci numbers is defined by the recurrence relation
with seed values
http://en.wikipedia.org/wiki/Fibonacci_numbershttp://en.wikipedia.org/wiki/Golden_ratiohttp://en.wikipedia.org/wiki/Harmonic_intervalhttp://en.wikipedia.org/wiki/Melodic_intervalhttp://en.wikipedia.org/wiki/Mathematicshttp://en.wikipedia.org/wiki/Sequencehttp://en.wikipedia.org/wiki/Recurrence_relationhttp://en.wikipedia.org/wiki/Recurrence_relationhttp://en.wikipedia.org/wiki/Sequencehttp://en.wikipedia.org/wiki/Mathematicshttp://en.wikipedia.org/wiki/Melodic_intervalhttp://en.wikipedia.org/wiki/Harmonic_intervalhttp://en.wikipedia.org/wiki/Golden_ratiohttp://en.wikipedia.org/wiki/Fibonacci_numbers -
7/28/2019 Asssinment Basic Maths
4/25
The Fibonacci sequence is named after Leonardo of Pisa, who was known as
Fibonacci (a contraction of filius Bonaccio, "son of Bonaccio".) Fibonacci's 1202 book
Liber Abaci introduced the sequence to Western European mathematics, although the
sequence had been previously described in Indian mathematics
http://en.wikipedia.org/wiki/Leonardo_of_Pisahttp://en.wikipedia.org/wiki/Liber_Abacihttp://en.wikipedia.org/wiki/Liber_Abacihttp://en.wikipedia.org/wiki/Indian_mathematicshttp://en.wikipedia.org/wiki/Indian_mathematicshttp://en.wikipedia.org/wiki/Liber_Abacihttp://en.wikipedia.org/wiki/Leonardo_of_Pisa -
7/28/2019 Asssinment Basic Maths
5/25
Liber AbaciIn the Liber Abaci (1202), Fibonacci introduces the so-
called modus Indorum (method of the Indians), today known
as Arabic numerals (Sigler 2003; Grimm 1973). The book
advocated numeration with the digits 09 and place value.
The book showed the practical importance of the new
numeral system, using lattice multiplication and Egyptian
fractions, by applying it to commercial bookkeeping,
conversion of weights and measures, the calculation of
interest, money-changing, and other applications. The book
was well received throughout educated Europe and had a
profound impact on European thought.
Liber Abaci also posed, and solved, a problem involving the growth of a
hypothetical population of rabbits based on idealized assumptions. The solution,
generation by generation, was a sequence of numbers later known as Fibonacci
numbers. The number sequence was known to Indian mathematicians as early as the
6th century, but it was Fibonacci's Liber Abacithat introduced it to the West.
http://en.wikipedia.org/wiki/Place_valuehttp://en.wikipedia.org/wiki/Numeral_systemhttp://en.wikipedia.org/wiki/Lattice_multiplicationhttp://en.wikipedia.org/wiki/Egyptian_fractionshttp://en.wikipedia.org/wiki/Egyptian_fractionshttp://en.wikipedia.org/wiki/Bookkeepinghttp://en.wikipedia.org/wiki/Fibonacci_numberhttp://en.wikipedia.org/wiki/Fibonacci_numberhttp://en.wikipedia.org/wiki/File:Leonardo_da_Pisa.jpghttp://en.wikipedia.org/wiki/Fibonacci_numberhttp://en.wikipedia.org/wiki/Fibonacci_numberhttp://en.wikipedia.org/wiki/Bookkeepinghttp://en.wikipedia.org/wiki/Egyptian_fractionshttp://en.wikipedia.org/wiki/Egyptian_fractionshttp://en.wikipedia.org/wiki/Lattice_multiplicationhttp://en.wikipedia.org/wiki/Numeral_systemhttp://en.wikipedia.org/wiki/Place_value -
7/28/2019 Asssinment Basic Maths
6/25
List of Fibonacci numberThe first 21 Fibonacci numbers (sequence A000045 in OEIS), also denoted as Fn, for
n = 0, 1, 2, ... ,20 are
F
0
F
1
F
2
F
3
F
4
F
5
F
6F7 F8 F9
F1
0
F1
1F12 F13 F14 F15 F16 F17 F18 F19 F20
0 1 1 2 3 5 81
3
2
1
3
4
55 8914
4
23
3
37
7
61
0
98
7
159
7
258
4
418
1
676
5
Using the recurrence relation, the sequence can also be extended to negative index n.
The result satisfies the equation
http://www.research.att.com/~njas/sequences/A000045http://en.wikipedia.org/wiki/On-Line_Encyclopedia_of_Integer_Sequenceshttp://en.wikipedia.org/wiki/On-Line_Encyclopedia_of_Integer_Sequenceshttp://www.research.att.com/~njas/sequences/A000045 -
7/28/2019 Asssinment Basic Maths
7/25
Examples of Fibonacci sequenceFibonacci numbers in nature
1.
Sunflowerhead displaying florets in spirals of 34
and 55 around the outside
Fibonacci sequences appear in biological
settings, in two consecutive Fibonacci numbers,
http://en.wikipedia.org/wiki/Sunflowerhttp://en.wikipedia.org/wiki/File:Helianthus_whorl.jpghttp://en.wikipedia.org/wiki/File:Helianthus_whorl.jpghttp://en.wikipedia.org/wiki/Sunflower -
7/28/2019 Asssinment Basic Maths
8/25
such as branching in trees, arrangement of leaves on a stem, the fruitlets of a
pineapple, the flowering ofartichoke, an uncurling fern and the arrangement of a pine
cone. In addition, numerous poorly substantiated claims of Fibonacci numbers orgolden
sections in nature are found in popular sources, e.g. relating to the breeding of rabbits,
the spirals of shells, and the curve of waves. The Fibonacci numbers are also found in
the family tree.
2.
.
The growth of this nautilus shell, like the growth of populations and many other kinds of
natural growing, are somehow governed by mathematical properties exhibited in the
Fibonacci sequence. And not just the rate of growth, but thepattern of growth. Examine
the crisscrossing spiral seed pattern in the head of a sunflower, for instance, and you
will discover that the number of spirals in each direction are invariably two consecutive
Fibonacci numbers.
3. The Fibonacci sequence
makes its appearance in other
http://en.wikipedia.org/wiki/Leaveshttp://en.wikipedia.org/wiki/Pineapplehttp://en.wikipedia.org/wiki/Artichokehttp://en.wikipedia.org/wiki/Pine_conehttp://en.wikipedia.org/wiki/Pine_conehttp://en.wikipedia.org/wiki/Golden_sectionhttp://en.wikipedia.org/wiki/Golden_sectionhttp://en.wikipedia.org/wiki/Golden_sectionhttp://en.wikipedia.org/wiki/Golden_sectionhttp://en.wikipedia.org/wiki/Pine_conehttp://en.wikipedia.org/wiki/Pine_conehttp://en.wikipedia.org/wiki/Artichokehttp://en.wikipedia.org/wiki/Pineapplehttp://en.wikipedia.org/wiki/Leaves -
7/28/2019 Asssinment Basic Maths
9/25
ways within mathematics as well. For example, it appears as sums of oblique diagonals
in Pascals triangle:
Fibonacci's Rabbits
4. The original problem that Fibonacci investigated (in the year 1202) wasabout how fast rabbits could breed in ideal circumstances.
Suppose a newly-born pair of rabbits, onemale, one female, are put in a field. Rabbits
are able to mate at the age of one month sothat at the end of its second month a female
can produce another pair of rabbits. Supposethat our rabbits never die and that the
female always produces one new pair (onemale, one female) every month from the
second month on. The puzzle that Fibonacciposed was...
How many pairs will there be in one year?
-
7/28/2019 Asssinment Basic Maths
10/25
1. At the end of the first month, they mate, but there is still one only 1pair.
2. At the end of the second month the female produces a new pair, sonow there are 2 pairs of rabbits in the field.
3. At the end of the third month, the original female produces a second
pair, making 3 pairs in all in the field.4. At the end of the fourth month, the original female has produced yet
another new pair, the female born two months ago produces her firstpair also, making 5 pairs.
-
7/28/2019 Asssinment Basic Maths
11/25
IdentitiesMost identities involving Fibonacci numbers draw from combinatorial arguments.
F(n) can be interpreted as the number of sequences of 1s and 2s that sum to n 1, with
the convention that F(0) = 0, meaning no sum will add up to 1, and that F(1) = 1,
meaning the empty sum will "add up" to 0. Here the order of the summands matters. For
example, 1 + 2 and 2 + 1 are considered two different sums and are counted twice. This
is discussed in further detail at YoungFibonacci lattice.
First identityFn = Fn 1 + Fn 2
The nth Fibonacci number is the sum of the previous two Fibonacci numbers.
F(n+1) =F(n) +F(n1).
Second identity
The sum of the first n Fibonacci numbers is the (n + 2)nd Fibonacci number
minus 1.
http://en.wikipedia.org/wiki/Combinatorial_proofhttp://en.wikipedia.org/wiki/Young%E2%80%93Fibonacci_latticehttp://en.wikipedia.org/wiki/Young%E2%80%93Fibonacci_latticehttp://en.wikipedia.org/wiki/Young%E2%80%93Fibonacci_latticehttp://en.wikipedia.org/wiki/Young%E2%80%93Fibonacci_latticehttp://en.wikipedia.org/wiki/Combinatorial_proof -
7/28/2019 Asssinment Basic Maths
12/25
Interest
Interest is a fee paid on borrowed assets. It is the price paid for the use of borrowed
money or, money earned by deposited funds. Assets that are sometimes lent with
interest include money,shares,consumer goods through hire purchase, major assets
such as aircraft, and even entire factories in finance lease arrangements. The interest iscalculated upon the value of the assets in the same manner as upon money. Interest
can be thought of as "rent of money". For example, if you want to borrow money from
the bank, there is a certain rate you have to pay according to how much you want
loaned to you.
Interest is compensation to the lender for forgoing other useful investments that could
have been made with the loaned asset. These forgone investments are known as the
opportunity cost. Instead of the lender using the assets directly, they are advanced to
the borrower. The borrower then enjoys the benefit of using the assets ahead of the
effort required to obtain them, while the
lender enjoys the benefit of the fee paid by the borrower for the privilege. The amount
lent, or the value of the assets lent, is called the principal. This principal value is held by
the borrower on credit. Interest is therefore the price of credit, not the price of money as
it is commonly believed to be. The percentage of the principal that is paid as a fee (the
interest), over a certain period of time, is called the interest rate.
http://en.wikipedia.org/wiki/Feehttp://en.wikipedia.org/wiki/Assethttp://en.wikipedia.org/wiki/Moneyhttp://en.wikipedia.org/wiki/Shareshttp://en.wikipedia.org/wiki/Consumer_goodshttp://en.wikipedia.org/wiki/Hire_purchasehttp://en.wikipedia.org/wiki/Aircraft_financehttp://en.wikipedia.org/wiki/Finance_leasehttp://en.wikipedia.org/wiki/Renthttp://en.wikipedia.org/wiki/Investmentshttp://en.wikipedia.org/wiki/Opportunity_costhttp://en.wikipedia.org/wiki/Credit_(finance)http://en.wikipedia.org/wiki/Interest_ratehttp://en.wikipedia.org/wiki/Interest_ratehttp://en.wikipedia.org/wiki/Credit_(finance)http://en.wikipedia.org/wiki/Opportunity_costhttp://en.wikipedia.org/wiki/Investmentshttp://en.wikipedia.org/wiki/Renthttp://en.wikipedia.org/wiki/Finance_leasehttp://en.wikipedia.org/wiki/Aircraft_financehttp://en.wikipedia.org/wiki/Hire_purchasehttp://en.wikipedia.org/wiki/Consumer_goodshttp://en.wikipedia.org/wiki/Shareshttp://en.wikipedia.org/wiki/Moneyhttp://en.wikipedia.org/wiki/Assethttp://en.wikipedia.org/wiki/Fee -
7/28/2019 Asssinment Basic Maths
13/25
Types of interest
Simple interest
Simple interest is calculated only on the principal amount, or on that portion of the
principal amount which remains unpaid.
The amount of simple interest is calculated according to the following formula:
where ris the period interest rate (I/m), B0 the initial balance and m the number of time
periods elapsed.
To calculate the period interest rate r, one divides the interest rate Iby the number of
periods m.
For example, imagine that a credit card holder has an outstanding balance of $2500
and that the simple interest rate is 12.99% per annum. The interest added at the end of
3 months would be,
and he would have to pay $2581.19 to pay off the balance at this point.
If instead he makes interest-only payments for each of those 3 months at the period rate
r, the amount of interest paid would be,
http://en.wikipedia.org/wiki/Interest_ratehttp://en.wikipedia.org/wiki/Interest_rate -
7/28/2019 Asssinment Basic Maths
14/25
His balance at the end of 3 months would still be $2500.
In this case, the time value of money is not factored in. The steady payments have an
additional cost that needs to be considered when comparing loans. For example, given
a $100 principal:
Credit card debt where $1/day is charged: 1/100 = 1%/day = 7%/week =
365%/year.
Corporate bond where the first $3 are due after six months, and the second $3
are due at the year's end: (3+3)/100 = 6%/year.
Certificate of deposit (GIC) where $6 is paid at the year's end: 6/100 = 6%/year.
There are two complications involved when comparing different simple interest bearing
offers.
1. When rates are the same but the periods are different a direct comparison is
inaccurate because of the time value of money. Paying $3 every six months
costs more than $6 paid at year end so, the 6% bond cannot be 'equated' to the6% GIC.
2. When interest is due, but not paid, does it remain 'interest payable', like the
bond's $3 payment after six months or, will it be added to the balance due? In the
latter case it is no longer simple interest, but compound interest.
A bank account offering only simple interest and from which money can freely be
withdrawn is unlikely, since withdrawing money and immediately depositing it again
would be advantageous.
http://en.wikipedia.org/wiki/Time_value_of_moneyhttp://en.wikipedia.org/wiki/Guaranteed_Investment_Certificatehttp://en.wikipedia.org/wiki/Time_value_of_moneyhttp://en.wikipedia.org/wiki/Time_value_of_moneyhttp://en.wikipedia.org/wiki/Guaranteed_Investment_Certificatehttp://en.wikipedia.org/wiki/Time_value_of_money -
7/28/2019 Asssinment Basic Maths
15/25
Compound interest
Compound interest is very similar to simple interest; however, with time, the difference
becomes considerably larger. This difference is because unpaid interest is added to the
balance due. Put another way, the borrower is charged interest on previous interest.
Assuming that no part of the principal orsubsequent interest has been paid, the debt is
calculated by the following formulas:
where Icomp is the compound interest, B0 the initial balance, Bm the balance after m
periods (where m is not necessarily an integer) and rthe period rate.
For example, if the credit card holder above chose not to make any payments, the
interest would accumulate
http://en.wikipedia.org/w/index.php?title=Subsequent&action=edit&redlink=1http://en.wikipedia.org/w/index.php?title=Subsequent&action=edit&redlink=1 -
7/28/2019 Asssinment Basic Maths
16/25
So, at the end of 3 months the credit card holder's balance would be $2582.07 and he
would now have to pay $82.07 to get it down to the initial balance. Simple interest is
approximately the same as compound interest over short periods of time, so frequent
payments are the best (least expensive) payment strategy.
A problem with compound interest is that the resulting obligation can be difficult to
interpret. To simplify this problem, a common convention in economics is to disclose the
interest rate as though the term were one year, with annual compounding, yielding the
effective interest rate. However, interest rates in lending are often quoted as nominal
interest rates (i.e., compounding interest uncorrected for the frequency of
compounding).[citation needed]
Loans often include various non-interest charges and fees. One example are points on
a mortgage loan in the United States. When such fees are present, lenders are regularly
required to provide information on the 'true' cost of finance, often expressed as an
annual percentage rate (APR). The APR attempts to express the total cost of a loan as
an interest rate after including the additional fees and expenses, although details may
vary by jurisdiction.
In economics, continuous compounding is often used due to its particularmathematicalproperties.
http://en.wikipedia.org/wiki/Effective_interest_ratehttp://en.wikipedia.org/wiki/Loanhttp://en.wikipedia.org/wiki/Nominal_interest_ratehttp://en.wikipedia.org/wiki/Nominal_interest_ratehttp://en.wikipedia.org/wiki/Wikipedia:Citation_neededhttp://en.wikipedia.org/wiki/Wikipedia:Citation_neededhttp://en.wikipedia.org/wiki/Wikipedia:Citation_neededhttp://en.wikipedia.org/wiki/Point_(mortgage)http://en.wikipedia.org/wiki/Mortgage_loanhttp://en.wikipedia.org/wiki/Annual_percentage_ratehttp://en.wikipedia.org/wiki/Compound_interest#Continuous_compoundinghttp://en.wikipedia.org/wiki/Mathematicalhttp://en.wikipedia.org/wiki/Mathematicalhttp://en.wikipedia.org/wiki/Compound_interest#Continuous_compoundinghttp://en.wikipedia.org/wiki/Annual_percentage_ratehttp://en.wikipedia.org/wiki/Mortgage_loanhttp://en.wikipedia.org/wiki/Point_(mortgage)http://en.wikipedia.org/wiki/Wikipedia:Citation_neededhttp://en.wikipedia.org/wiki/Nominal_interest_ratehttp://en.wikipedia.org/wiki/Nominal_interest_ratehttp://en.wikipedia.org/wiki/Loanhttp://en.wikipedia.org/wiki/Effective_interest_rate -
7/28/2019 Asssinment Basic Maths
17/25
I am Tamilarrasi D/O Rajamoney from PPISMP unit Pengajian Tamil/Pendididkan
Jasmani/Kajian sosial. Im studying at IPGM Kampus Tengku Ampuan Afzan, Kuala
Lipis, Pahang. This basic mathemathic coarse work were given by Pn. Rafidah binti
Wahab is lecture of my basic mathemathic subject. Thia coarse work was given to me
on 10 august 2009 until 10 september 2009.
This assignment is about Fibonacci Sequence and Interest. This work devided four
parts which is called as part A, part B, part c, and part D. I find out some notes about
the topics in library. Ive explain about the interest too. There are some notes about
simple interest, compound interest, and introduction about interest.
I have refer some refrance books, in the library. I also axcess some internet
websites to collect notes on my topic. Finally, I finish my task with reflection and
bibliography. Lastly, I would like to thank all my members who give supports and
advices to me Thank you!
-
7/28/2019 Asssinment Basic Maths
18/25
NO TOPIC
1. INTRODUCTION
2. TASK QUESTION
3. PART A:- FIBONACCI SEQUENCE
:- 3 EXAMPLES OF CREATION OF NATURE
:- DISCOVERIES
4. PART B:- INTEREST
:- SIMPLE INTEREST
:- CALCULATON OF SIMPLE INTEREST
:- COMPOUND INTEREST
:- CALCULATION OF COMPOUND INTEREST
5. PART C:- REFLECTION
6. BIBLIOGRAPHY
7. ATTACHMENT 1
8. REFERANCE
-
7/28/2019 Asssinment Basic Maths
19/25
INSTITUT PERGURUAN KAMPUS TENGKU AMPUAN
AFZAN,KUALA LIPIS
BASIC MATHEMATICS[ FIBONACCI SEQUENCE]
NAME: TAMILARRASI A/P RAJAMONEYUNIT: BAHASA TAMIL/PENDIDIDKAN JASMANI/KAJIANSOSIAL
I.C: 910725-08-6220COARSE: PREPARATION COURSE BACHELOROFEDUCATION PROGRAME (SEMESTER)
NAME OF LACTURE: PN.RAFIDAH BINTI WAHAP
-
7/28/2019 Asssinment Basic Maths
20/25
DATE OF COMPLETION: 10 SEPTEMBER 2009
ATTACMENT 1
1.
A(t) = A0 . (1 + t . r )
A0 = RM 2000
t = 0.06
= A(t) = 2000 (1 + 0.18)
= 2000 (1.18)
= RM 2360
Interest = balanced interest = saving accounts
= interest = RM 2360 RM 2000
= 360
2..
i. How much money will you have after five years ?
A(t) = A0 (1 + r/n)n.t
-
7/28/2019 Asssinment Basic Maths
21/25
A0 = RM 7500
r = 0.06
n = 12
nt =12 5 = 60
= A(t) = 7500 (1+ 0.06/12)60
= 7500(1.005)60
= 7500(1.349)
= RM 10117.50
ii. Find the interest after five years.
Interest = balance interest = saving accounts
= interest = RM 10117.50 RM 7500
= RM 2617.50
3.
i. 8.25% compounded quarterly
= 0.0825/4
= 0.02065
ii. 8.3% compounded semiannually
= 0.083/2
= 0.0415
The better choice is 8.25 rate compounded quarterly
-
7/28/2019 Asssinment Basic Maths
22/25
4.
A(t) = A0(1+ r/n)n.t
A0 = x
A(t) = RM 20000
r = 0.08
n = 12
nt = 12 5
= 60
= 20000 = x (1+ 0.08/12)60
= x(1+ 0.006667)60
= x(1.006667)60
= x(1.4898)
x = 20000/1.4898
x = RM 13424.1
5.
A(t) = A0 ( 1+ r/n)n.t
A0 = x
A(t) = RM 500000
r = 0.09
n = 12
nt = 12 35
-
7/28/2019 Asssinment Basic Maths
23/25
= 60
RM500000 = x(1+ 0.09/12)420
= x(1+ 0.0075)420
= x(1.0075)420
= x(23.06)
x = 500000/23.06
= RM 21682.57
6.
i. Determine the amount financed.
= monthly payment number of payments
= RM 194.38 60
= RM 11662.80
ii. Determine the total installment price
= 194.38 60
= 11662.80
iii. Determine the finance charge
= amount financed (car cost down payment)
= RM 11662.80RM 9045
= RM 2617.80
-
7/28/2019 Asssinment Basic Maths
24/25
BIBLIOGRAPHY
D.Paling,C.S Banwell,K.D.Saunders(1971). Making Mathematics 4A Secondry
course, second edition.Oxford university Pres, Ely House, London W.I.
Blitzer,Robert (2001). Thinking mathematically/ -3rd edition.
Charles P. M keague(1972). Basic mathematic/-5th edition.
Charles(1999).mathemathic for elementary school teacher.
Miller, heeren, Hornsby(2000). Mathematical ideas.
Raymond A. barnatt(1971). College mathematics.
Wikipedia.org/ wiki Fibonacci number
Googles.com.my
Yahoo.com.my
Wikipedia.interest.com.my
-
7/28/2019 Asssinment Basic Maths
25/25