asssinment basic maths

7/28/2019 Asssinment Basic Maths

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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!


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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


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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


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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


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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


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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


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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


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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


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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?


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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.


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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


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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


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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


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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


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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


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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


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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!


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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


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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


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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


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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


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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


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= 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


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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


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