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 calculus crazy...
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Posted on 01-11-11 3:41 PM     Reply [Subscribe]
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hi guys,


Hi guys,

quition no 13.

I wanna know how to find growth rate ? I know how to find a I need forumula ... and can you explain it. thanks.

 
Posted on 01-11-11 4:27 PM     [Snapshot: 27]     Reply [Subscribe]
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It's a basic algebra.. you dont need to know the meaning of 'r' or 'a'.

Let me try..

Q(13) ..

f(5) = 75.94  ===> t = 5
so, f(5) = Qo a^5 = Qo(1 + r)^5 = 75.94  -------- (i)

and, f(7) = 170.80 ===> t = 7 ;
so, f(7) = Qo a^7 = Qo (1 + r)^7 = 170.80  ------(ii)

Diving eq (ii) by equation (i);

Qo a^7   = 170.80       and    Qo a^7  = Qo(1 + r)^7
------------     ----------                --------         ---------------------   ------(iii)
Qo a^5        75.94                   Qo a         Qo (1 + r)^5


From left side equality,

a^2 = 2.249 ==> a = 1.5   ------- (iv)

From right equality of eqn (iii)

a^2 = (1 + r)^2  

r = +- a - 1   ------ (v)

use 'a' from eqn (iv) in (v)

r = -2.5 and 0.5

I think 'r' can have +ve value only. So, r = 0.5

Try similarly for Question(14)

..:)



 
Posted on 01-11-11 5:09 PM     [Snapshot: 65]     Reply [Subscribe]
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Thanks again...

 


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