For simple interest, the formula is:
A = P(1 + rt)
Where:
- A = the final amount = $30,000
- P = the Principle or initial amount = $10,000
- r = annual interest rate expressed as a decimal = 6% = 0.06
- t = years
$30,000 = $10,000(1 + 0.06t)
Divide both sides by $10,000:
3 = (1 + 0.06t)
Subtract 1 from both sides:
2 = 0.06t
Divide both sides by 0.06 to get the answer in years.