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In approximation we cam use AP also
300,315,330...........(real int willl be little bit more)
N/2(2a+(n-1)d)=Sum
N/2(2*300+(n-1)15)=4000
3N^2+117N=1600
use trial and error method
10 would give 1470 apprx is right
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You may use rule of 72 for compounding

72/Rate = Number of years approx for doubling the amount

72/5 = approx 14 years

We need less than 12k

C
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