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These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.

These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.

These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.

These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.

 

01 Hours 30 Minutes

 

80 Marks

 

Calculator is allowed

IB MATH AA SL, Paper 2, May, 2023, TZ1, Solved Past Paper

Master the 2023 IB May for Paper 2 Mathematics AA SL with examiner tailored solutions and comments for TZ1

Question 1 [Explained]

In a diagram depicting three cities, Jaipur, Lucknow, and Delhi, we observe the following: Lucknow is positioned 500 km directly east of Jaipur, and the angle at Jaipur between the lines to Lucknow and to Delhi is 25 degrees. Additionally, the bearing from Jaipur to Delhi is given as 034 degrees. How might we use this information in a geometric analysis?

Question 1 (Figure)
Question 1 [a] [Explanation]

Calculate the value of (JD^L), where (J), (D^), and (L) are specific variables related to the given context.

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Question 1 [b] [Explanation]

How far is it between Lucknow and Delhi?

 

This question requires calculating the geographic distance between two major cities in India, namely Lucknow and Delhi. The distance referred to here is typically the shortest path over the earth's surface between these two urban centers.

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Question 2 [Explained]

The question asks us to consider a model that describes how the value of a car decreases over time. Specifically, the value (C) of the car in U.S. dollars is given by a formula: (C=40,000×(0.91)t), where (t) represents the time in years since January 1, 2023. This type of model is often used in finance to depict depreciation, reflecting how items lose value as they age.

Question 2 [a] [Explanation]

What this question is asking is to find out how much value a car loses each year from its original purchase price. This is referred to as the 'depreciation rate'. It's important because it tells us how quickly a car's value goes down over time, which can impact decisions related to buying, selling, or owning a car.

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Question 2 [b] [Explanation]

This question asks you to calculate the expected value of a car on a specific future date, which is January 1, 2028. Essentially, it involves projecting the car’s depreciation or appreciation over time to arrive at its future value.

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