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Sagot :
¡Vamos a resolver el ejercicio paso a paso!
Primero, calculamos el valor de \( A \) y \( B \) por separado.
1. Cálculo de \( A \):
[tex]\[ A = \frac{3}{8} \times 0.06\% \times 160000 \][/tex]
Donde \( 0.06\% = \frac{0.06}{100} \).
Así que:
[tex]\[ A = \frac{3}{8} \times \frac{0.06}{100} \times 160000 \][/tex]
Calculando esto, obtenemos:
[tex]\[ A = 36.0 \][/tex]
2. Cálculo de \( B \):
[tex]\[ B = 0.05\% \times \frac{2}{3}\% \times 6 \times 10^5 \][/tex]
Donde \( 0.05\% = \frac{0.05}{100} \) y \( \frac{2}{3}\% = \frac{2}{3} \times \frac{1}{100} = \frac{2}{300} \).
Así que:
[tex]\[ B = \frac{0.05}{100} \times \frac{2}{300} \times 600000 \][/tex]
Calculando esto, obtenemos:
[tex]\[ B = 2.0 \][/tex]
3. Cálculo de la suma de \( A + 2B \):
[tex]\[ A + 2B = 36.0 + 2 \times 2.0 = 36.0 + 4.0 = 40.0 \][/tex]
4. Multiplicación de \( (A + 2B) \times 10^3 \):
[tex]\[ (A + 2B) \times 10^3 = 40.0 \times 10^3 = 40000.0 \][/tex]
5. Finalmente, cálculo del 20\% del 5\% de \( 40000.0 \):
[tex]\[ 20\% \text{ de } 5\% \text{ de } 40000.0 = \frac{20}{100} \times \frac{5}{100} \times 40000.0 = 0.20 \times 0.05 \times 40000.0 = 400.0 \][/tex]
Por lo tanto, la respuesta correcta es:
[tex]\[ \boxed{400} \][/tex]
Primero, calculamos el valor de \( A \) y \( B \) por separado.
1. Cálculo de \( A \):
[tex]\[ A = \frac{3}{8} \times 0.06\% \times 160000 \][/tex]
Donde \( 0.06\% = \frac{0.06}{100} \).
Así que:
[tex]\[ A = \frac{3}{8} \times \frac{0.06}{100} \times 160000 \][/tex]
Calculando esto, obtenemos:
[tex]\[ A = 36.0 \][/tex]
2. Cálculo de \( B \):
[tex]\[ B = 0.05\% \times \frac{2}{3}\% \times 6 \times 10^5 \][/tex]
Donde \( 0.05\% = \frac{0.05}{100} \) y \( \frac{2}{3}\% = \frac{2}{3} \times \frac{1}{100} = \frac{2}{300} \).
Así que:
[tex]\[ B = \frac{0.05}{100} \times \frac{2}{300} \times 600000 \][/tex]
Calculando esto, obtenemos:
[tex]\[ B = 2.0 \][/tex]
3. Cálculo de la suma de \( A + 2B \):
[tex]\[ A + 2B = 36.0 + 2 \times 2.0 = 36.0 + 4.0 = 40.0 \][/tex]
4. Multiplicación de \( (A + 2B) \times 10^3 \):
[tex]\[ (A + 2B) \times 10^3 = 40.0 \times 10^3 = 40000.0 \][/tex]
5. Finalmente, cálculo del 20\% del 5\% de \( 40000.0 \):
[tex]\[ 20\% \text{ de } 5\% \text{ de } 40000.0 = \frac{20}{100} \times \frac{5}{100} \times 40000.0 = 0.20 \times 0.05 \times 40000.0 = 400.0 \][/tex]
Por lo tanto, la respuesta correcta es:
[tex]\[ \boxed{400} \][/tex]
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