We would have to convert 3/4 to a decimal of 0.75 (the equivalent)
0.75*23 = 17.3
-or-
3 * 23 = 69
4 * 23 = 92
$736 because $184 x 4 would give you your amount.
Polynomial with real coefficients always has even number of complex roots. We know that one of them is 2 + 5i so the second one will be 2 - 5i and:
![f(x)=\big(x-4\big)\big(x-(-8)\big)\big(x-(2+5i)\big)\big(x-(2-5i)\big)=\\\\=(x-4)(x+8)(x-2-5i)(x-2+5i)=\\\\=(x^2-4x+8x-32)(x^2-2x+5ix-2x+4-10i-5ix+10i-25i^2)\\\\=\big(x^2+4x-32\big)\big(x^2-4x+4-25\cdot(-1)\big)=\\\\=(x^2+4x-32)(x^2-4x+29)=\\\\=x^4-4x^3+29x^2+4x^3-16x^2+116x-32x^2+128x-928=\\\\=\boxed{x^4-19x^2+244x-928}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cbig%28x-4%5Cbig%29%5Cbig%28x-%28-8%29%5Cbig%29%5Cbig%28x-%282%2B5i%29%5Cbig%29%5Cbig%28x-%282-5i%29%5Cbig%29%3D%5C%5C%5C%5C%3D%28x-4%29%28x%2B8%29%28x-2-5i%29%28x-2%2B5i%29%3D%5C%5C%5C%5C%3D%28x%5E2-4x%2B8x-32%29%28x%5E2-2x%2B5ix-2x%2B4-10i-5ix%2B10i-25i%5E2%29%5C%5C%5C%5C%3D%5Cbig%28x%5E2%2B4x-32%5Cbig%29%5Cbig%28x%5E2-4x%2B4-25%5Ccdot%28-1%29%5Cbig%29%3D%5C%5C%5C%5C%3D%28x%5E2%2B4x-32%29%28x%5E2-4x%2B29%29%3D%5C%5C%5C%5C%3Dx%5E4-4x%5E3%2B29x%5E2%2B4x%5E3-16x%5E2%2B116x-32x%5E2%2B128x-928%3D%5C%5C%5C%5C%3D%5Cboxed%7Bx%5E4-19x%5E2%2B244x-928%7D)
Answer B.
With the help of the <em>area</em> formulae of rectangles and triangles and the concept of <em>surface</em> area, the <em>surface</em> area of the composite figure is equal to 276 square centimeters.
<h3>What is the surface area of a truncated prism?</h3>
The <em>surface</em> area of the <em>truncated</em> prism is the sum of the areas of its six faces, which are combinations of the areas of rectangles and <em>right</em> triangles. Then, we proceed to determine the <em>surface</em> area:
A = (12 cm) · (4 cm) + 2 · (3 cm) · (4 cm) + 2 · (12 cm) · (3 cm) + 2 · 0.5 · (12 cm) · (5 cm) + (5 cm) · (4 cm) + (13 cm) · (4 cm)
A = 48 cm² + 24 cm² + 72 cm² + 60 cm² + 20 cm² + 52 cm²
A = 276 cm²
With the help of the <em>area</em> formulae of rectangles and triangles and the concept of <em>surface</em> area, the <em>surface</em> area of the composite figure is equal to 276 square centimeters.
To learn more on surface areas: brainly.com/question/2835293
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