The required number of years is 9 years.
The formula for finding the exponential function is expressed as:
Substituting the given information, we will have:
2000 = 1000 (1+0.08)^x
2 = 1.08^x
x is the time taken
Take the ln of both sides
ln 2 = x ln1.08
0.6931 = 0.07696x
x = 0.6931/ 0.07696
x = 9
Hence the required number of years is 9 years.
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