Answer:
To calculate the annual investment required to accumulate $25,956 at the end of 10 years with an interest rate of 76%, we can use the formula for the future value of an ordinary annuity:
\[FV = P \times \left(1 + r\right)^n - 1\]
Where:
FV = Future value (target amount)
P = Annual investment
r = Interest rate
n = Number of years
Plugging in the given values, we have:
\[25,956 = P \times \left(1 + \frac{76}{100}\right)^{10} - 1\]
Simplifying the equation:
\[1.76^{10}P = 25,956 + 1\]
\[P = \frac{25,957}{1.76^{10}}\]
Using a calculator, we find that \(1.76^{10} \approx 13.365\). Now we can calculate the annual investment:
\[P \approx \frac{25,957}{13.365}\]
\[P \approx 1,943.13\]
Therefore, you would need to invest approximately $1,943.13 each year, starting at the end of this year, for 10 years at an interest rate of 76% to accumulate $25,956 at the end of the 10-year period.