In total he is laying $3,545
Answer:
Step-by-step explanation:
the triangles are similar because they are proportional. the 3 sides of 2 triangles fall in a particular table.
The commission would be $2095.
Step-by-step explanation:
Given,
Commission on first $1000 = 7%
Amount of commission = 0.07*1000 = $70
Worth of sold items = $14,500
We will subtract $1000 from it.
Balance = 14500-1000 = $13500
Commission on balance = 15% = 0.15
Amount of commission = 0.15*13500
Amount of commission = $2025
Total commission = 70+2025 = $2095
The commission would be $2095.
Keywords: percentage, subtraction
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Answer:
(i) (f - g)(x) = x² + 2·x + 1
(ii) (f + g)(x) = x² + 4·x + 3
(iii) (f·g)(x) = x³ + 4·x² + 5·x + 2
Step-by-step explanation:
The given functions are;
f(x) = x² + 3·x + 2
g(x) = x + 1
(i) (f - g)(x) = f(x) - g(x)
∴ (f - g)(x) = x² + 3·x + 2 - (x + 1) = x² + 3·x + 2 - x - 1 = x² + 2·x + 1
(f - g)(x) = x² + 2·x + 1
(ii) (f + g)(x) = f(x) + g(x)
∴ (f + g)(x) = x² + 3·x + 2 + (x + 1) = x² + 3·x + 2 + x + 1 = x² + 4·x + 3
(f + g)(x) = x² + 4·x + 3
(iii) (f·g)(x) = f(x) × g(x)
∴ (f·g)(x) = (x² + 3·x + 2) × (x + 1) = x³ + 3·x² + 2·x + x² + 3·x + 2 = x³ + 4·x² + 5·x + 2
(f·g)(x) = x³ + 4·x² + 5·x + 2
