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Simplify: \(A = 1000(1.0125)^{12}\).
Calculate: \(A \approx 1000 \times 1.1616 = 1161.62\).
#### $1161.62
Find the derivative of \(f(x) = 3x^3 - 5x^2 + 6x - 4\).
Differentiate term by term: \(f'(x) = 9x^2 - 10x + 6\).
#### \(9x^2 - 10x + 6\)
A car accelerates from rest at a constant rate of \(4 \, \text{m/s}^2\). How far does it travel in 10 seconds?
Use the formula \(d = \frac{1}{2}at^2\).
Substitute: \(d = \frac{1}{2} \times 4 \times (10)^2 = 200 \, \text{m}\).
#### 200 m