(i)
Find the rate of change of the investment after 8 years.
An investment grows according to the function $A(t) = 10000(1 + 0.05t)^3$, where $A(t)$ is the value of the investment and $t$ is the time in years.
Find the rate of change of the investment after 8 years.
Discuss theoretical concepts, mathematical formulas, and architectural foundations.