#### Amount after 3 years: $1157.63
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- Where \( P = 1000 \), \( r = 0.05 \), \( n = 1 \) (compounded annually), and \( t = 3 \):
- A = 1000(1 + 0.05/1)^{1 \times 3} = 1000(1.05)^3
- Calculating \( (1.05)^3 \):
- A ladder 10 meters long leans against a wall, forming a 60-degree angle with the ground. How high up the wall does the ladder reach?
- Using trigonometry, the height \( h \) is given by:
- h = L \sin(\theta) = 10 \sin(60^\circ)
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