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# Aunt Lucy Maths Investigation

Extracts from this document...

Introduction

Maths Coursework

## Plan

My plan is to calculate all four schemes in three five-year periods. Scheme A, B, C and D each last for 15 years. I will set the results using tables of data. Then I shall produce bar graphs to compare my results and evaluate what I have done.

The schemes are as follows: -

## Scheme A

£100 to pay now, £90 to pay in a year’s time, £80 to pay in two year’s time, ect

## Scheme B

£10 to pay now, £20 to pay in a year’s time, £30 to pay in two years time, ect

## Scheme C

£10 to pay now, 1.5 of £10 to pay in a year’s time, 1.

Middle

£780

13

£130

£910

14

£140

£1050

15

£150

£1200

## Scheme C                                Years 1 –5

 Number of Years Annual Scheme Income Total 1 £10 £10 2 £15 £25 3 £22.50 £47.50 4 £33.75 £81.25 5 £50.62 131.87

Scheme C                                Years 6 – 10

 Number of Years Annual Scheme Income Total 6 £75.93 £207.80 7 £113.90 3321.70 8 £170.84 £492.54 9 £256.26 £748.80 10 £384.40 £1133.20

Scheme C                                Years 11 – 15

 Number of Years Annual Scheme Income Total 11 £576.60 £1709.80 12 £864.90 £2574.70 13 £1297.35 £3872.05 14 £1946.03 £5818.08 15 £2919.04 38757.12

Scheme D                                Years 1 – 5

 Number of Years Annual Scheme Income Total 1 £1 £1 2 £2 £3 3 £4 £7 4 £8 £15 4 £16 £31

Scheme D                                Years 6 – 10

 Number of Years Annual Scheme Income Total 6 £32 £63 7 £64 £127 8 £128 £255 9 £256 £511 10 £512 £1023

Conclusion

My Scheme                                Years 1 – 5

 Number of Years Annual Scheme Income Total 1 £30 £30 2 £60 £90 3 £90 £180 4 £120 £300 5 £150 £450

My Scheme                                Years 6 – 10

 Number of Years Annual Scheme Income Total 6 £180 £630 7 £210 £840 8 £240 £1080 9 £270 £1350 10 £300 £1650

My Scheme                                Years 11 – 15

 Number of Years Annual Scheme Income Total 11 £330 £1980 12 £360 £2340 13 £390 £2730 14 £420 £3150 15 £450 £3600

## Conclusion

My Scheme results in a lot of money being made from only a small annual instalment of £30. Each year it doubles, so after that you would pay £60 ect. If I was to increase the price to £50 ect, I predict that Bob would make over a million pounds.

## Total Amount for each Scheme over the 15 year period

 Scheme Letter Total Money After 15 Years A £550 B £1200 C £8757.12 D £37867 My Scheme £3600

Craig Steels 10NT                1/07/02

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