631.72 = 33% of Realized Income
<span> To find Realized Income, calculate: 631.72 /.33 = Realized Income </span>
<span> Therefore, Realized Income equals 1914.30</span>
The cubic equation formed is L^3 - 52L +144 = 0. Dimensions: Length = 4 inches, Width = 2 inches, Height = 3 inches. To determine this, let L be the length, W the width, and H the height. The box volume is 24 cubic inches, and its total surface area is 52 sq. inches. Setting W = L/2 leads to Volume = L * W * H, thus substituting W gives us the equation 0.5L^2 * H = 24 resulting in H = 48/L^2. The surface area equation simplifies to (L*W) + (L+H) + (W+H) = 26. Introducing W = 0.5L yields 0.5L^2 + 1.5LH = 26. Substituting H into this gives 0.5L^2 + 72/L = 26. Multiplying throughout by L to eliminate denominators yields 0.5L^3 - 26L + 72 = 0. After multiplying through by 2: L^3 - 52L +144 = 0. Testing L=4 confirms a factor, thus Length (L) = 4 inches, and subsequently, W and H calculate to 2 inches and 3 inches respectively.
The triangle's vertex coordinates are (–8, 8), (–8, –4), and (10, –4). QR serves as the base of this triangle, measuring b = 18 units, with a height of h = 12 units. The area of triangle PQR is 108 square units.
Answer:
The student should have divided the amount after the discount by the percentage expressed as a decimal.
Step-by-step explanation:
