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Add Maths Project 4

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I hv created this project with my hardwork and i hope others will use this for good reason.....

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Page 1: Add Maths Project 4

BY: Logendhraraw a/l Rajah Raw,5 sc 3,SMKK,2010

a) Table 1:

Item Price (RM)Shop A Shop B Shop C

FOOD1. Self-Raising Flour 2.70 2.50 2.80

2. Sugar 1.60 1.60 1.60

3. Butter 4.50 4.30 4.70

4. Eggs (Grade A) 6.30 7.00 7.50

Total Price 15.10 15.40 16.60

DETERGENT1. Dettol AP Cleaner 5.50 5.90 5.30

2. SOFTLAN Fabric.... 3.50 3.40 3.40

3. Dettol Bar Soap 3.30 3.00 3.10

4. Maxkleen 9 Ultra 4.30 4.40 4.30

Total Price 16.60 16.70 16.10

STATIONERY1. Pilot Eraser 1.00 1.00 1.10

2. Ball Point Pen 3.50 3.40 3.00

3. Sharpener 9.90 9.80 10.50

4. Drawing Block 1.00 1.10 1.00

Total Price 15.40 15.30 15.60

Grand Total 47.10 47.40 48.30

c) Graphical Representations

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1) Bar Chart

Shop A Shop B Shop C0

2

4

6

8

10

12

Raising FlourSugarBufferEggsDettol SyampooSoftlan SyampooDetto BarKiwikleanPILOT EraserBall PenSharpenerD.Block

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2)Line Graph

Shop A Shop B Shop C0

2

4

6

8

10

12

Raising FlourSugarBufferEggsDettol SyampooSoftlan SyampooDetto BarKiwikleanPILOT EraserBall PenSharpenerD.Block

d) Interpretation, Discussion, Conclusion and Comments

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Based on the survey from three shops above, we can conclude that the shop which is selling the products with higher price is shop C. But we can say that all the products are expensive in this shop because certain products from the shop is reasonable than the other shops such as SOFTLAN fabric syampoo and ball point pen.The survey also says that the shop A sells the most reasonable products among the three shops. The cheapest product in the survey is the PILOT eraser and drawing block while the most expensive product is the sharpener.

e) Identification and Calculation

An item that has a large price difference among the shops is Eggs (Grade A)

Mean

Step 1: Find the sum of the numbers.       RM 6.30+ RM 7.00+ RM 7.50 = RM 20.80

Step 2: Calculate the total number.          there are 3 numbers.

Step 3: Finding mean.          RM 20.80/3= RM 6.933333

STANDARD DEVIATION

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where Σ = Sum of X = Individual score M = Mean of all scores N = Sample size (Number of scores)

X M (X-M) (X-M)2

6.30 6.9333 -0.6333 0.40117.00 6.9333 0.0667 4.4489×10-3

7.50 6.9333 0.5667 0.3211

STEP 1: Find the sum of (x-m)2

0.4011+ 4.4489×10-3+0.3211 = 0.7267

Step 2: find n-1

3-1= 2

Step 3: find the standard deviation using formula

√0.7267/2 = 0.6028

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a) Suggestion and discussion

I would go and purchase the ingredients for the butter cakes from shop A. This is because the total price for the ingredients needed for making butter cakes in shop A is the cheapest among the three shops

b) Table 2

Ingredient Quantity percake

Price in the year 2009 (RM)

Price in the year 2010 (RM)

Self-raising flour 250 g 0.90 1.10Sugar 200g 0.35 0.40Butter 250g 3.30 3.50Eggs (Grade A) 5 eggs (300g) 1.25 1.40

(i) Price Index for each ingredients

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I = Price index/ Index number

P0 = Price at the base time

P1 = Price at a specific time

I for self-raising flour

I = 1.10/0.90 × 100

= 122.222

I for sugar

I = 0.40/0.35 × 100

= 114.286

I for butter

I = 3.50/3.30 × 100

= 106.061

I for eggs

I = 1.40/1.25 × 100

= 112.000

(ii) Composite index for making a butter cake

I = P1/P0 × 100

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Ī = Composite Index

W = Weightage

I = Price Index

I W122.222 2.5

114.286 2.0

106.061 2.5

112.000 3.0

Ī = 122.222 (2.5)+114.286 (2.0)+106.061 (2.5)+ 112.000 (3.0)

2.5+2.0+2.5+3.0

Ī = 113.528

(iii) Suitable selling price for butter cake in the year 2010

In the year 2010 the butter cake is suitable to sell for :

= RM 15.00 × 113.528/ 100

= RM 17.029

= RM 17.00

This is because during the year 2010 the price of the ingredients has increased compared to year 2009 as 13.528 ℅

(c) (i) Reliabe sources how to determine suitable capacity of air- conditioner to be installed based on volume/size of a room

Ī = ∑W1I1/∑W1

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Properly Sized Room Air ConditionersMany people buy an air conditioner that is too large, thinking it will provider better cooling. However, an oversized air conditioner is actually less effective — and wastes energy at the same time. Air conditioners remove both heat and humidity from the air. If the unit is too large, it will cool the room quickly, but only remove some of the humidity. This leaves the room with a damp, clammy feeling. A properly sized unit will remove humidity effectively as it cools.

To figure out which size unit is best for your cooling needs:

1. Determine the square footage of the area to be cooled using the following formulas:o For square and rectangular rooms, multiply the length of the area by its widtho For a triangular area, multiply the length of the area by the width and divide

by 2

Most rooms can be further divided into these basic shapes to determine the square footage.

If the shape of your room is other than square or rectangular, ask your sales associate to help you determine the square footage.

2. Using the square footage and the chart below, determine the correct cooling capacity. Cooling capacity is measured in British thermal units (BTUs) per hour.

Area To Be Cooled (square feet) Capacity Needed (BTUs per hour) 100 to 150 5,000150 to 250 6,000250 to 300 7,000300 to 350 8,000350 to 400 9,000400 to 450 10,000450 to 550 12,000550 to 700 14,000700 to 1,000 18,0001,000 to 1,200 21,0001,200 to 1,400 23,0001,400 to 1,500 24,0001,500 to 2,000 30,0002,000 to 2,500 34,000

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3. Make any adjustments for the following circumstances:o If the room is heavily shaded, reduce capacity by 10 percent.o If the room is very sunny, increase capacity by 10 percent.o If more than two people regularly occupy the room, add 600 BTUs for each

additional person.o If the unit is used in a kitchen, increase capacity by 4,000 BTUs.o Consider where you install the unit. If you are mounting an air conditioner

near the corner of a room, look for a unit that can send the airflow in the right direction.

http://www.energystar.gov/index.cfm?c=roomac.pr_properly_sized

(ii) Determine the number of air conditioners with the appropriate capacity required for the library

# The height, length and width of the school library was measured using measuring tape

HEIGHT = 12 metre

LENGTH = 20 metre

Width = 15 metre

Thus the volume of school library is :

8m × 20m × 10m = 1600m3

From the information given : 0.9 m2 = 1 sf

Area = height×width 180m2 = 200sf

The amount of (BTU’s per hour) needed to cool down 200sf is 6000.Therefore 6 air-conditioner with 1000 (BTU’s) each needed to cool down the school library.

Volume = Height × Length × Width

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(iii)Number of butter cakes have to sell in order to buy the ar-conditioner.

1 Air-conditioner = RM 900

1 butter cake = RM 17

Income earned from 1 butter cakes = RM 1.90

Number of butter cakes that have to sell : 900/1.90

:473.68

:474cakes

(a) Table 3

EXPENDITURE AMOUNT IN 2009 (RM)

AMOUNT IN 2010 (RM)

Food 1200.00 1380.00Games 500.00 500.00

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Transportation 300.00 345.00Decorations 200.00 200.00

Prizes 600.00 600.00Tents 800.00 920.00

Miscellaneous 400.00 520.00

Amount in 2010 :

Food: 1200.00 + 15℅ = RM 1380.00

Games : RM 500.00

Transportation: 300.00 + 15℅ = RM 345.00

Decorations: RM 200.00

Prizes: RM 600.00

Tents: 800.00 + 15℅ = RM 920.00

Miscellaneous: 400.00 + 30℅ = RM 520.00

(b) Composite index for the estimated budget of the carnival in the year 2010 based on the year 2009.

EXPENDITURES I W

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Food 115 15Games 100 0Transportation 115 15Decorations 100 0Prizes 100 0Tents 115 15Miscellaneous 130 30

I for Food = 1380/1200 × 100 = 115

I for Games = 5000/500 × 100 = 100

I for Transportation = 345/300 × 100 = 115

I for Decorations = 200/200 × 100 = 100

I for Prizes = 600/600 × 100 = 100

I for Tents = 920/800 × 100 = 115

I for Miscellaneous = 130

Ī = 115(15) + 100(0) + 115(15) + 100(0) + 100(0) + 115(15) + 130(30)

15+15+15+30

Ī = 121

The budget for the carnival has increased as much 21 ℅ in year 2010 compare to the year 2009

(c) Composite index for the year 2011 based on the year 2009

EXPENDITURES PRICE IN 2009 PRICE IN 2010 PRICE IN 2011

Food 1200.00 1380.00 1587.00Games 500.00 500.00 500.00

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Transportation 300.00 345.00 396.75Decorations 200.00 200.00 200.00Prizes 600.00 600.00 600.00Tents 800.00 920.00 1058.00Miscellaneous 400.00 520.00 676.00

EXPENDITURES I W

Food 132.25 15Games 100.00 0Transportation 132.25 15Decorations 100.00 0Prizes 100.00 0Tents 132.25 15Miscellaneous 169.00 30

I for Food = 1587.00/1200.00 × 100 = 132.25

I for Games = 500.00/500.00 × 100 = 100

I for Transportation = 396.75/300.00 × 100 = 132.25

I for Decorations = 200.00/200.00 × 100 = 100

I for Prizes = 600.00/600.00 × 100 = 100

I for Tents = 1058.00/800.00 × 100 = 132.35

I for Miscellaneous = 676.00/400.00 = 169.00

Ī= 132.25(15) + 100(0) + 132.25(15) + 100(0) + 100(0) + 132.25(15) +169(30

15+15+15+30

Ī = 146.95

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(i) The importance of two different types of index number

(a) In stock market

Index numbers are basically economic data information that reflect the price or quantity compared with standard or remnant value. It is normally expressed as 100 times the ratio of the base worth that equals 100. Index numbers are very important for economic analysis. They summarize movements surrounded by a group of related variables. The consumer Price index is one of the most commonly used form of index number. It measures the changes in the retail prices. These index number’s also used to evaluate the condition of the stock market by economic analysis. The up and down of the stock market were identified using index numbers.Therefore index number’s are very important n stock market.

(b) In Property Index (PIN)

A PIN (Property Index Number, also known as a permanent real estate index number) is a numerical code for the legal description of a piece of land as it has been defined for the purposes of real estate taxation. The formatted code points to the parcel's location on the county's tax maps. The best source for your PIN is your deed or tax bill, or other documents you may have from the purchase of your home. If you are not able to locate any of these documents, the Cook County Assessor's website can help you locate a PIN from an address. Therefore index number is very important in property index

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While I was conducting the project,I have learnt and practice lot of moral values. These are we should be patient when doing any work or project. Ths is to ensure our work is completed by the time.

We also should always be calm and cool down when any source that we are finding for is missing. This signs that we are going to get a conclusion soon.

Furthermore we also should always happy. So that whatever work we are doing can be done easily. No tention I would like to end this with a poem:

Success is not the triumph over regress, Success is the power to suppress.

Success is not the money or the fame, Success is, knowing you are still the same.

Success is not the power or the pride.Success is the knowing how to hide.

Success is not a gift or gain, Success is accepting and believing in your name.

Success is not a point or goal to seek, Success is, believing you have never reached the peak.

Success is LOGEN DE LOG

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