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Question 1
A production machine is purchased for €120,000 and depreciates linearly over an expected useful life of 8 years to a salvage value of €24,000. What is the annual depreciation expense, and what is the book value after 5 years?
Correct Answer:
Annual depreciation = €12,000; Book value after 5 years = €60,000
Question 2
The temperature T(t) (in °C) of an industrial component cooling in ambient air (20°C) is modeled by Newton's Law of Cooling: T(t) = 20 + 80 · e^(-0.05t), where t is time in minutes. What is the component's temperature at t = 0 and after t = 20 minutes? (Use e^(-1) ≈ 0.3679).
Correct Answer:
T(0) = 100°C; T(20) ≈ 49.43°C
Question 3
A company models its total revenue as R(x) = -0.5x^2 + 80x and total cost as C(x) = 20x + 450 (where x is output in units, R and C in €). For what production quantity x is the profit P(x) = R(x) - C(x) maximized?
Correct Answer:
x = 60 units
Question 4
What is the economic interpretation of the marginal cost function K'(x) in business mathematics?
Correct Answer:
The approximate additional cost incurred by producing one additional unit of output at production level x
Question 5
Evaluate the definite integral representing total accumulated energy (in Joules) over the first 4 seconds for a power function P(t) = 3t^2 + 4t + 10 (t in seconds, P in Watts):
Correct Answer:
136 J
Question 1
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Prepare with the BHS-Matura Practice Questions - Austria BHS-Reife- und Diplomprüfung (Vocational Matura) Exam practice quiz. This question bank includes 100 questions covering cluster, function, business, annual, and total. Use it to review important concepts, identify knowledge gaps, and build confidence for the related exam, course, or assessment.

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BHS-Matura Practice Questions - Austria BHS-Reife- und Diplomprüfung (Vocational Matura) Exam

This practice set contains 100 questions from the matching question bank and focuses on cluster, function, business, annual, and total. Work through each question carefully, review the provided solutions, and revisit topics that need more study before your next attempt.

This is an independent study resource intended for practice and review; it is not an official examination or an endorsement by any organization named in the title.

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