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IGCSE MATHS DOUBTS HERE !!!!

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HUSH1994:
what are ALL the matrix transformations i need for IGCSE?including all reflections,rotation,translation,shear,stretch,enlargement?Please??

Vin:

--- Quote from: HUSH1994 on October 06, 2010, 02:49:52 pm ---what are ALL the matrix transformations i need for IGCSE?including all reflections,rotation,translation,shear,stretch,enlargement?Please??

--- End quote ---

https://studentforums.biz/math-147/transformation-martices-igcse/msg167877/#msg167877

WARRIOR:
1.The population of an island increases by 10% each year.After how many years will the original population be doubled.

2.A bank pays interest of 11% on 6000 in a deposit account..After how many years will the money have trebled

3.A tree grows in height by 21% per year. It is 2m tall after one year. After how many more years will the tree be over 20m tall?

thx in advanced.

elemis:
Let the initial population be 100 and the number of years after which the population doubles let it be n.

100 * 1.10n = 200

Solving for n give : 1.10n = 2

Hence, log 2 / log 1.1  = 7.27 years (3 s.f.)

Therefore answer is 8 years. Since after 7.27 years there will only be 199.9 people.

WARRIOR:

--- Quote from: Ari Ben Canaan on October 15, 2010, 07:05:55 am ---Let the initial population be 100 and the number of years after which the population doubles let it be n.

100 * 1.10n = 200

Solving for n give : 1.10n = 2

Hence, log 2 / log 1.1  = 7.27 years (3 s.f.)

Therefore answer is 8 years. Since after 7.27 years there will only be 199.9 people.

3. The answer at the end n = 12.1 , and so 1.21^12.1 x 2= 20m exactly

 why is the asnwer in the book 13?



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ok but for the next one , the answer in my book says 12 years why?

6000 x 1.11^n = 18000
 1.11^n= 3

thergfore log 3/ log 1.11

=10.5

and anywy the anwer in the book says 12 and 6000 x 1.11^12 =  20000 +

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