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Number of months: 3 * 12 = 36Total amount: \( A = P (1 + r/n)^{nt} \)\( A = 10,000 (1 + 0.004167)^{36} pprox 10,000 (1.1616) pprox 11,616 \)#### 11,6161. A rectangle has a length that is twice its width, and its perimeter is 48 units. What is the area of the rectangle?Perimeter \( = 2( ext{length} + ext{width}) = 2(2w + w) = 6w \).Given perimeter is 48, so \( 6w = 48 \).Solving for \( w \), we get \( w = rac{48}{6} = 8 \).Area \( = ext{length} imes ext{width} = 16 imes 8 = 128 \).A quadratic equation \( ax^2 + bx + c = 0 \) has roots 3 and -2. If \( a = 1 \), find \( b \) and \( c \), and determine the value of the expression \( b^2 - 4ac \).Using Vieta's formulas: