Mathematics

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MATHEXPERTSUBMISSION-ALLDQMODULES1-7.xlsx
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Topic 1

DQ-1
Principal $1,000
Interest rate (compound) per year 18.61%
Amounts to be paid
Month 1 $1,015.51
Month 2 $1,031.26
Month 3 $1,047.25
Month 4 $1,063.49
Month 5 $1,079.98
Month 6 $1,096.73
Using the formula
Amount $1,096.73
Q-2
Die 1 Die 2
2 1 Die 1
2 3 Die 2
3 2 Mean 3.4
1 4 Standard Error 0.2396578758 Mean 3.55
4 6 Median 3 Standard Error 0.262995564
6 4 Mode 3 Median 4
1 4 Standard Deviation 1.5157294935 Mode 4
3 3 Sample Variance 2.2974358974 Standard Deviation 1.6633299933
3 5 Kurtosis -0.7233309731 Sample Variance 2.7666666667
4 1 Skewness 0.1543959904 Kurtosis -0.9571684847
6 6 Range 5 Skewness -0.1096189992
5 5 Minimum 1 Range 5
4 1 Maximum 6 Minimum 1
3 6 Maximum 6
3 6
2 4
6 1
4 3
3 2
2 4
1 6
5 4
6 4
4 3
3 5
2 1
3 1
4 3
3 2
5 4
1 6
3 4
2 4
4 1
6 3
4 2
4 4
3 6
5 4
1 4

Topic 2

Q-1
Selected Country Zimbabwe
Population 14546314
Number Per Actual Number of People
Birth rate 33.6 1000 488756.1504
Death rate 9.3 1000 135280.7202
Net Migration Rate -5 1000 -72731.57
Q-2
Gender Male
Mean (") 69.7
Standard Deviation (") 2.7
My Height (") 68.2
z-score -0.5555555556
Percentile 10th

Topic 3

Q-1
Country Zimbabwe
Population 14546314
Duration in Weeks 5
Number of citizens spoken to per day 415608.971428571
Number of citizens spoken to per hour 17317.0404761905
Number of citizens spoken to per Minute 288.6173412698
Number of citizens spoken to per second 4.8102890212
The goal is unachievable
Q-2
Gender Male
Height 69.7
Mean Height 69.3
Std Deviation 2.7
Lower Range of height 63.9
Upper Range of height 74.7
If the data is normal, 90% of the data lies in the range

Topic 4

Q-1
A percentage is a ratio that represents a fraction of 100
My height (inches) 69.3
After 15% increase 79.695
After 15% decrease 67.74075
Q-2
Trade offs
Students and instructors have to contend with virtual learning
Students may not raise questions as during learning as would normally happen in conventional class
Tools to overcome challenges
Online group discussions
Interactive video learning

Topic 5

Q-1
Plan A Plan B Plan A Plan B Plan A Plan B Plan A Plan B
Option 1 x y x y Option 2 X Y x Y Option 3 x y x y Option 4 x y x y
0 39.99 0 29.99 0 27.75 0 20.99 0 39.99 0 25.99 0 45.99 0 49.55
1 41.24 1 31.49 1 28.5 1 21.99 1 41.24 1 27.74 1 46.49 1 49.95
2 42.49 2 32.99 2 29.25 2 22.99 2 42.49 2 29.49 2 46.99 2 50.35
3 43.74 3 34.49 3 30 3 23.99 3 43.74 3 31.24 3 47.49 3 50.75
4 44.99 4 35.99 4 30.75 4 24.99 4 44.99 4 32.99 4 47.99 4 51.15
5 46.24 5 37.49 5 31.5 5 25.99 5 46.24 5 34.74 5 48.49 5 51.55
6 47.49 6 38.99 6 32.25 6 26.99 6 47.49 6 36.49 6 48.99 6 51.95
7 48.74 7 40.49 7 33 7 27.99 7 48.74 7 38.24 7 49.49 7 52.35
8 49.99 8 41.99 8 33.75 8 28.99 8 49.99 8 39.99 8 49.99 8 52.75
9 51.24 9 43.49 9 34.5 9 29.99 9 51.24 9 41.74 9 50.49 9 53.15
10 52.49 10 44.99 10 35.25 10 30.99 10 52.49 10 43.49 10 50.99 10 53.55
11 53.74 11 46.49 11 36 11 31.99 11 53.74 11 45.24 11 51.49 11 53.95
12 54.99 12 47.99 12 36.75 12 32.99 12 54.99 12 46.99 12 51.99 12 54.35
13 56.24 13 49.49 13 37.5 13 33.99 13 56.24 13 48.74 13 52.49 13 54.75
14 57.49 14 50.99 14 38.25 14 34.99 14 57.49 14 50.49 14 52.99 14 55.15
15 58.74 15 52.49 15 39 15 35.99 15 58.74 15 52.24 15 53.49 15 55.55
16 59.99 16 53.99 16 39.75 16 36.99 16 59.99 16 53.99 16 53.99 16 55.95
17 61.24 17 55.49 17 40.5 17 37.99 17 61.24 17 55.74 17 54.49 17 56.35
18 62.49 18 56.99 18 41.25 18 38.99 18 62.49 18 57.49 18 54.99 18 56.75
19 63.74 19 58.49 19 42 19 39.99 19 63.74 19 59.24 19 55.49 19 57.15
20 64.99 20 59.99 20 42.75 20 40.99 20 64.99 20 60.99 20 55.99 20 57.55
21 66.24 21 61.49 21 43.5 21 41.99 21 66.24 21 62.74 21 56.49 21 57.95
22 67.49 22 62.99 22 44.25 22 42.99 22 67.49 22 64.49 22 56.99 22 58.35
23 68.74 23 64.49 23 45 23 43.99 23 68.74 23 66.24 23 57.49 23 58.75
24 69.99 24 65.99 24 45.75 24 44.99 24 69.99 24 67.99 24 57.99 24 59.15
25 71.24 25 67.49 25 46.5 25 45.99 25 71.24 25 69.74 25 58.49 25 59.55
26 72.49 26 68.99 26 47.25 26 46.99 26 72.49 26 71.49 26 58.99 26 59.95
27 73.74 27 70.49 27 48 27 47.99 27 73.74 27 73.24 27 59.49 27 60.35
28 74.99 28 71.99 28 48.75 28 48.99 28 74.99 28 74.99 28 59.99 28 60.75
29 76.24 29 73.49 29 49.5 29 49.99 29 76.24 29 76.74 29 60.49 29 61.15
30 77.49 30 74.99 30 50.25 30 50.99 30 77.49 30 78.49 30 60.99 30 61.55
31 78.74 31 76.49 31 51 31 51.99 31 78.74 31 80.24 31 61.49 31 61.95
32 79.99 32 77.99 32 51.75 32 52.99 32 79.99 32 81.99 32 61.99 32 62.35
33 81.24 33 79.49 33 52.5 33 53.99 33 81.24 33 83.74 33 62.49 33 62.75
34 82.49 34 80.99 34 53.25 34 54.99 34 82.49 34 85.49 34 62.99 34 63.15
35 83.74 35 82.49 35 54 35 55.99 35 83.74 35 87.24 35 63.49 35 63.55
36 84.99 36 83.99 36 54.75 36 56.99 36 84.99 36 88.99 36 63.99 36 63.95
37 86.24 37 85.49 37 55.5 37 57.99 37 86.24 37 90.74 37 64.49 37 64.35
38 87.49 38 86.99 38 56.25 38 58.99 38 87.49 38 92.49 38 64.99 38 64.75
39 88.74 39 88.49 39 57 39 59.99 39 88.74 39 94.24 39 65.49 39 65.15
40 89.99 40 89.99 40 57.75 40 60.99 40 89.99 40 95.99 40 65.99 40 65.55
41 91.24 41 91.49 41 58.5 41 61.99 41 91.24 41 97.74 41 66.49 41 65.95
42 92.49 42 92.99 42 59.25 42 62.99 42 92.49 42 99.49 42 66.99 42 66.35
43 93.74 43 94.49 43 60 43 63.99 43 93.74 43 101.24 43 67.49 43 66.75
44 94.99 44 95.99 44 60.75 44 64.99 44 94.99 44 102.99 44 67.99 44 67.15
45 96.24 45 97.49 45 61.5 45 65.99 45 96.24 45 104.74 45 68.49 45 67.55
46 97.49 46 98.99 46 62.25 46 66.99 46 97.49 46 106.49 46 68.99 46 67.95
47 98.74 47 100.49 47 63 47 67.99 47 98.74 47 108.24 47 69.49 47 68.35
48 99.99 48 101.99 48 63.75 48 68.99 48 99.99 48 109.99 48 69.99 48 68.75
49 101.24 49 103.49 49 64.5 49 69.99 49 101.24 49 111.74 49 70.49 49 69.15
50 102.49 50 104.99 50 65.25 50 70.99 50 102.49 50 113.49 50 70.99 50 69.55
51 103.74 51 106.49 51 66 51 71.99 51 103.74 51 115.24 51 71.49 51 69.95
52 104.99 52 107.99 52 66.75 52 72.99 52 104.99 52 116.99 52 71.99 52 70.35
53 106.24 53 109.49 53 67.5 53 73.99 53 106.24 53 118.74 53 72.49 53 70.75
54 107.49 54 110.99 54 68.25 54 74.99 54 107.49 54 120.49 54 72.99 54 71.15
Q-2
Principal $100
Interest rate 0.16%
No. of compounding per year 4
Time (years) 2
Amount 801.120896448
Interest $701
A linera Model would not work since it the increments after compounding interest are not equal

Topic 6

Q-1
Amount $718
Time (years) 10
APR 3.50%
Value compounded:
Yearly 1012.809910126
Quarterly 1017.3405456346
Monthly 1018.371582402
Daily 1018.8734033065
Q-2
Year Inflation Rate
2014 1.6
2015 0.1
2016 1.3
2017 1.1
2018 2.4
2019 1.8
Average percentage change in inflation 0.9980599481

Topic 7

Q-1
Four types of security
i. Debt security- they represent money that has been borrowed and must be repaid using set conditions
ii. Equity Security- equity securitities represent shareholders ownership in a company]
iii. Derivative security- drivative securities depend on the values of basic vaiables such as stocks
iv. Hybrid security - hybrid securities are a blend of debt and equity securities
Q-2
My favorite experience is solving a mathematical problem that I would not have solved before using Excel
My least favorite experience is failing to understand the requirements of a given question which makes it challenging finding its solution