The question in German is about calculating the original price of a car and its depreciation over time.

Let's break down the question:

1. Problem: Tamara bought a new car. After 2 years, the car's value is €28,900, and after 5 years, it's worth €17,748.21.
2. Questions:
   • a) What was the initial purchase price of the car?
   • b) What will its value be in 10 years?

To solve this, we can assume exponential depreciation of the car’s value over time:

Exponential Depreciation Model

The formula for exponential depreciation is: $V = P \cdot e^{-kt}$ where:

• $V$ is the value after $t$ years,
• $P$ is the initial price (which we need to find),
• $k$ is the depreciation constant,
• $t$ is the time in years.

Step 1: Find $k$ using given data

We have two values:

• After 2 years: $V = 28900$
• After 5 years: $V = 17748.21$

Using these, we can solve for $k$ and then use it to find $P$ and answer the other parts of the question. I'll proceed with these calculations.The solution yields three possible values for the initial price $P$ and the depreciation constant $k$. The realistic (real-valued) solution is:

• Initial Price (P): €40,000 (approximately),
• Depreciation Constant (k): 0.1625 (approximately).

Interpretation:

1. **Answer to (