How many years will it take for 136000dollars to grow to be 468000dollars if it is invested in account with an annual interest rate of 80%

The formula to find the future value of a present sum is:
FV = PV * (1 + r)ⁿ

Where:
FV = Future Value ($468,000) PV = Present Value ($136,000) r = Annual interest rate (80% or 0.80)
n = Number of years (what we need to find)

468,000 = 136,000 * (1 + 0.80)ⁿ
468,000 = 136,000 * (1.80)ⁿ

Divide both sides by 136,000:
468,000 / 136,000 = (1.80)ⁿ
3.441176 ≈ (1.80)ⁿ

Take the natural logarithm (ln) of both sides:
ln(3.441176) = ln((1.80)ⁿ)
Using the logarithm property ln(aᵇ) = b * ln(a):
ln(3.441176) = n * ln(1.80)

n = ln(3.441176) / ln(1.80)
n ≈ 1.2357 / 0.5877
n ≈ 2.1026

It will take approximately 2.10 years for $136,000 to grow to $468,000 at an 80% annual interest rate.