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**Radioactive Decay Problem** A radioactive substance decays according to the function: \[ A(t) = A_0 (0.375)^t \] where \( A(t) \) is the amount of the substance left after \( t \) days, and \( A_0 \) is the initial amount of the substance. If you start with 7000 units, how many units will be left after 3 days? **Solution:** To find the amount of substance left after 3 days, substitute the given values into the function: \[ A(t) = 7000 \times (0.375)^3 \] Calculate: \[ A(3) = 7000 \times 0.375 \times 0.375 \times 0.375 \] The answer will provide the remaining units after 3 days. **Answer 2: ___________** In this problem, there is a coordinate graph depicted without any specific data points visible. It appears to provide a framework for plotting values potentially related to the function equation mentioned. The graph uses standard Cartesian coordinates with horizontal and vertical axes intersecting at a central point.

**Radioactive Decay Problem** A radioactive substance decays according to the function: \[ A(t) = A_0 (0.375)^t \] where \( A(t) \) is the amount of the substance left after \( t \) days, and \( A_0 \) is the initial amount of the substance. If you start with 7000 units, how many units will be left after 3 days? **Solution:** To find the amount of substance left after 3 days, substitute the given values into the function: \[ A(t) = 7000 \times (0.375)^3 \] Calculate: \[ A(3) = 7000 \times 0.375 \times 0.375 \times 0.375 \] The answer will provide the remaining units after 3 days. **Answer 2: ___________** In this problem, there is a coordinate graph depicted without any specific data points visible. It appears to provide a framework for plotting values potentially related to the function equation mentioned. The graph uses standard Cartesian coordinates with horizontal and vertical axes intersecting at a central point.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Radioactive Decay Problem** A radioactive substance decays according to the function: \[ A(t) = A_0 (0.375)^t \] where \( A(t) \) is the amount of the substance left after \( t \) days, and \( A_0 \) is the initial amount of the substance. If you start with 7000 units, how many units will be left after 3 days? **Solution:** To find the amount of substance left after 3 days, substitute the given values into the function: \[ A(t) = 7000 \times (0.375)^3 \] Calculate: \[ A(3) = 7000 \times 0.375 \times 0.375 \times 0.375 \] The answer will provide the remaining units after 3 days. **Answer 2: ___________** In this problem, there is a coordinate graph depicted without any specific data points visible. It appears to provide a framework for plotting values potentially related to the function equation mentioned. The graph uses standard Cartesian coordinates with horizontal and vertical axes intersecting at a central point.
Transcribed Image Text:**Radioactive Decay Problem** A radioactive substance decays according to the function: \[ A(t) = A_0 (0.375)^t \] where \( A(t) \) is the amount of the substance left after \( t \) days, and \( A_0 \) is the initial amount of the substance. If you start with 7000 units, how many units will be left after 3 days? **Solution:** To find the amount of substance left after 3 days, substitute the given values into the function: \[ A(t) = 7000 \times (0.375)^3 \] Calculate: \[ A(3) = 7000 \times 0.375 \times 0.375 \times 0.375 \] The answer will provide the remaining units after 3 days. **Answer 2: ___________** In this problem, there is a coordinate graph depicted without any specific data points visible. It appears to provide a framework for plotting values potentially related to the function equation mentioned. The graph uses standard Cartesian coordinates with horizontal and vertical axes intersecting at a central point.
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