Question

Автомобильный завод каждые два года снижает цену на определенную марку автомобиля на 20% по сравнению с ее предыдущей ценой.в первый год выпуска новая модель стоила 40000руб.,Запишите выражение для вычисления цены этой модели через 10 лет?

Answer 1

Цена снижается на 20%, значит будет составлять 80% от первоначальной

Запишем выражение как оно будет выглядеть для 10 лет

Цлет=((((Цнач*0,8)*0,8)*0,8)*0,8)*0,8

Запишем это выражение в обощенном виде

Цлет=Цнач*0,8^(Г/2)

Г-количество лет для которых считаем цену

Answer 2

Calculation of the Price of the Car Model after 10 Years

To calculate the price of the car model after 10 years, we need to consider that the car factory reduces the price of the specific car model by 20% every two years compared to its previous price.

Given that the new model initially costs 40,000 rubles, we can calculate the price of the car model after 10 years by applying the 20% reduction every two years.

Here's the calculation:

1. Year 1: The new model costs 40,000 rubles. 2. Year 2: The price is reduced by 20% from the previous year's price. Therefore, the price after 2 years is 80% of the initial price: 40,000 rubles * 0.8 = 32,000 rubles. 3. Year 4: The price is reduced by 20% from the previous year's price. Therefore, the price after 4 years is 80% of the price after 2 years: 32,000 rubles * 0.8 = 25,600 rubles. 4. Year 6: The price is reduced by 20% from the previous year's price. Therefore, the price after 6 years is 80% of the price after 4 years: 25,600 rubles * 0.8 = 20,480 rubles. 5. Year 8: The price is reduced by 20% from the previous year's price. Therefore, the price after 8 years is 80% of the price after 6 years: 20,480 rubles * 0.8 = 16,384 rubles. 6. Year 10: The price is reduced by 20% from the previous year's price. Therefore, the price after 10 years is 80% of the price after 8 years: 16,384 rubles * 0.8 = 13,107.2 rubles.

Therefore, the price of the car model after 10 years would be approximately 13,107.2 rubles.

Please note that this calculation assumes a consistent reduction of 20% every two years. The actual price may vary depending on other factors.