THE MATHEMATICS ASSIGNMENT

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Running head: MATHS ASSIGNMNET 1
MATHS ASSIGNMNET

MATHS ASSIGNMNET
Table of Contents
Question 1...................................................................................................................................................3
Question 2...................................................................................................................................................3
Question 3...................................................................................................................................................3
Question 4...................................................................................................................................................4
Question 5...................................................................................................................................................4
Question 6...................................................................................................................................................4
Question 7...................................................................................................................................................5
Part A)......................................................................................................................................................5
Part B)......................................................................................................................................................5

MATHS ASSIGNMNET
Question 1
Question 1
Simple interest
Principal 3000
Rate 12.00%
Time 2
Amount P * R * T
Amount 720
Question 2
Question 2
Investment 3500
Time 2
Rate 0.015
Amount (I + (1 + R/100)^2)
Amount 3606.39
Question 3
Part A
Calculation of profit
Particulars Units Price Amount
Sales 120 15000
£
1,800,000.00
Less: variable cost 70
£
1,050,000.00
Contribution per unit 50
£
750,000.00
Less: Fixed costs
£
500,000.00
Net profit
£
250,000.00
Calculation of breakeven units
Breakeven Point
Fixed costs £ 500,000.00

MATHS ASSIGNMNET
Contribution per unit 50
Breakeven units
£
10,000.00
Part B)
1 2 3 4 5 6 7
0
200000
400000
600000
800000
1000000
1200000
1400000
1600000
1800000
Breakeven Point
Units
Revenue
Fixed
Variable
Question 4
The stationery points of the following function can be found out in the image below.
Y= -2X^3 + 15X^2 + 27
Y = -6X + 30
-6X = -30
X = 5
Question 5
-X2 + 3X + 40 = 0
Multiplying the entire equation by – sign
X2 – 3X – 40 = 0
X2 - 8X + 5X – 40 = 0
X ( X - 8 ) + 5 ( X – 8 ) = 0

MATHS ASSIGNMNET
X + 5 = 0, X – 8 = 0
X = -5, 8
Presentation through graph
Question 6
A The total people who took the survey are 14
B Males Scale Frequency
5 1
7 2
10 1
Calculation of Mode 1
C Females Scale Frequency
5 3
6 4
7 2
8 3
9 2
Calculation of Mode 3
D Calculation of mean 2.8

MATHS ASSIGNMNET
Question 7
Part A)
6X - 7 3X - 5 5X + 78
4 7 28
42X - 49 + 12X - 20 5X + 78
28 28
54X - 69 5X + 78
54X - 5X 147
49X 147
X 3
Part B)
5 (X + 7 ) ≥ 3 (X + 9 )
5X + 35 ≥ 3X + 27
Subtracting 3x from both the side
2X + 35 ≥ 27
2X ≤ 8
X ≤ 4