1. The problem is to find the time $t$ in the simple interest formula $$A = P(1 + rt)$$ given $A = 2867.30$, $P = 1234.10$, and $r = 0.66\% = 0.0066$. 2. Substitute the known values into the formula: $$2867.30 = 1234.10(1 + 0.0066t)$$ 3. Divide both sides by 1234.10 to isolate the term with $t$: $$\frac{2867.30}{1234.10} = 1 + 0.0066t$$ Calculate the left side: $$2.322 = 1 + 0.0066t$$ 4. Subtract 1 from both sides: $$2.322 - 1 = 0.0066t$$ $$1.322 = 0.0066t$$ 5. Solve for $t$ by dividing both sides by 0.0066: $$t = \frac{1.322}{0.0066}$$ Calculate the division: $$t \approx 200.30$$ 6. The time $t$ is approximately 200.30 years. Final answer: $$t \approx 200.30$$ years.