as wra a 4fferentiQtuate n and an tion anel an Solutiona P 1

as wra a 4.fferenti.Qtuate n and an tion anel an

Solution

a) P= 10000 , R= 4% = .04

B(t) = Pe^rt

b) B(t)= 10000e^{.04t [} substituing the values]

c) 25000 = 10000e^.04t   

=> 2.5 = e^.04t

=>log(2.5) = .04t ...[ log e =1]

=> t = 9.9 years

d) 3P =   Pe^rt

=> 3 = e^.04t    [ cancelling P from both sides]

=> log 3 = .04t

=> t= 11.9 years