Answer:
3.73 years or 4 years approx
Explanation:
The computation of the number of years taken for money invested for double is shown below:
As we know that
Amount = Principal × (1 + interest rate ÷ time period)^interest rate × time period
where,
We assume the principal be P
And, the amount is 2P
And, the other values would remain the same
So,
2P = P (1 + 0.2044 ÷ time period)^ 1 × time period
2 = (1.2044)^ time period
Now take the log both sides
ln2 = ln (1.2044)^time period
ln2 - time period ln (1.2044)
So,
time period = ln(2) ÷ ln (1.2044)
= 3.73 years or 4 years approx
