Final answer:
To find the number of years required for a $10,000 investment to triple at 217% interest rate compounded continuously, the investment will triple instantly.
Step-by-step explanation:
To find the number of years required for a $10,000 investment to triple at a 217% interest rate compounded continuously, we can use the formula:
A = P * e^(rt)
Where A is the final amount, P is the principal amount (initial investment), e is the base of natural logarithms, r is the interest rate, and t is the time in years.
In this case, we want to find t when A = $10,000, P = $10,000, and r = 217% = 2.17.
Substituting the values into the formula, we have:
$10,000 = $10,000 * e^(2.17t)
e^(2.17t) = 1 (since the investment will triple)
e^(2.17t) = e^(0)
2.17t = 0
t = 0/2.17
t = 0 years
Therefore, the investment will triple instantly, as t = 0 years.