Question 460940
Assuming 8% is the annual interest rate.

t = number of months.

(0.08/12) * 100 = Monthly % rate.

5000 * (1+(1/150))^t = 10000

(1+(1/150))^t = 10000/5000

(1+(1/150))^t = 2

log (1+(1/150))^t = log 2

t * log 1+(1/150) = log 2
t = log 2/log 1+(1/150)

t = 104.3 (1 dp)

So it will take roughly 104 and 1/3 months to double or about 8.7 years.