Question

В течении календарного года налоги, подлежащие уплате некоторой фирмой, увеличивались ежемесячно на одну и ту же величину. Сумма налогов фирмы за март и апрель составила 9000 рублей, а налоги за ноябрь были равны 6000 рублей. Какую сумму налогов должна была заплатить фирма за июль ??

Answer 1

Ответ:

5200 рублей налог в июле

Пошаговое объяснение:

Поскольку налоги увеличивались на одну и ту же величину ежемесячно, то это арифметическая прогрессия.

Возьмем за первый член прогрессии налог за январь а₁, тогда:

а₃+а₄=9000

a₁+2d+a₁+3d=9000

2a₁+5d=9000

а₁₁=6000

а₁+10d=6000

a₁=6000-10d

2*(6000-10d)+5d=9000

12000-20d+5d=9000

15d=3000

d=200 рублей величина ежемесячного увеличения налога

a₁=6000-10*200=4000 рублей налог в январе

Налог в июле:

а₇=а₁+6d=4000+200*6=5200 рублей

Answer 2

Calculation of Monthly Tax Increase

To determine the monthly tax increase for the given firm, we need to find the difference in tax amounts between March and April, and then divide it by the number of months between March and April. Similarly, we need to find the difference in tax amounts between November and April, and divide it by the number of months between November and April.

Let's calculate the monthly tax increase step by step:

1. Calculate the difference in tax amounts between March and April: - Tax amount for March and April = 9000 rubles. - Difference in tax amounts = Tax amount for April - Tax amount for March = 9000 rubles - 9000 rubles = 0 rubles.

2. Calculate the difference in tax amounts between November and April: - Tax amount for November = 6000 rubles. - Difference in tax amounts = Tax amount for April - Tax amount for November = 9000 rubles - 6000 rubles = 3000 rubles.

3. Calculate the number of months between March and April: - March to April = 1 month.

4. Calculate the number of months between November and April: - November to April = 5 months.

5. Calculate the monthly tax increase: - Monthly tax increase = Difference in tax amounts / Number of months between March and April = 0 rubles / 1 month = 0 rubles. - Monthly tax increase = Difference in tax amounts / Number of months between November and April = 3000 rubles / 5 months = 600 rubles.

Calculation of Tax Amount for July

To calculate the tax amount for July, we need to add the monthly tax increase to the tax amount for April.

Let's calculate the tax amount for July:

1. Tax amount for April = 9000 rubles. 2. Monthly tax increase = 600 rubles. 3. Number of months between April and July = 3 months.

- Tax amount for July = Tax amount for April + (Monthly tax increase * Number of months between April and July) - Tax amount for July = 9000 rubles + (600 rubles * 3 months) - Tax amount for July = 9000 rubles + 1800 rubles - Tax amount for July = 10800 rubles.

Therefore, the firm should have paid 10,800 rubles in taxes for July.

Note: Please keep in mind that the information provided is based on the given data and calculations. It's always recommended to consult with a tax professional or refer to official tax regulations for accurate and up-to-date information.