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**"7. Maataloustuotevero alenee 15 % vuodessa. Maataloustuoteen alkuperäinen hinta on 7500 €.**  
a) Mikä on vero kahden vuoden kuluttua?  
b) Mitä tuotteen hinta on silloin?"**

Translation:
**"7. The agricultural product tax decreases by 15% per year. The original price of the agricultural product is €7500.**  
a) What will the tax be in two years?  
b) What will the price of the product be then?"**

### Let's solve both parts of the problem:

1. **Part a) What will the tax be in two years?**

The tax decreases by 15% per year. So, in two years, the tax reduction can be calculated using the compound reduction formula:
\[
\text{Remaining tax after 2 years} = 7500 \times (1 - 0.15)^2
\]

2. **Part b) What will the price of the product be then?**

The product's price after two years, accounting for the tax reduction, is the remaining tax calculated above. The final price will be that value subtracted from the original price.

Let me calculate this.1. **Part a)** The tax after two years will be reduced to **€5418.75**.

2. **Part b)** The price of the product after two years, considering the tax reduction, will also be **€5418.75**.

Would you like further details or have any questions?

Here are some related questions for practice:
1. What would the tax be if the reduction was 20% instead of 15%?
2. How much would the price be after 3 years with the same 15% annual reduction?
3. If the initial price was €10,000 instead of €7,500, how would the result change after 2 years?
4. How would the price change if the reduction happened every 6 months instead of annually?
5. Can you derive a general formula for the tax after *n* years with a percentage decrease?

**Tip:** Compound reductions follow a similar mathematical approach to compound interest, but with a decreasing factor.

The agricultural product tax decreases by 15% per year. The original price of the agricultural product is €7500. What will the tax be in two years? What will the price of the product be then?

Learn how to calculate the tax reduction for an agricultural product over two years with a 15% annual decrease. This problem covers key concepts such as percentage decrease, compound interest, and exponential decay. Suitable for students in Grades 9-12.

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