Question

Стоимость услуг по обслуживанию телефоной линии увеличивается на 5% в начале каждого календарного года.сколько рублей составит стоимость услуги в августе 2013 г.,если в феврале 2011 г. она составила 2000 р?

Answer 1

В начале 2012 г стоимость стала 2 000* 0,05+2 000=2 100 руб
в 2013 году стоимость 2 100+ 2100*0,05=2 205 руб.
Ответ в августе 2013 стоимость = 2 205руб

Answer 2

Calculating the Increased Cost of Phone Line Services

To calculate the increased cost of the phone line service in August 2013, given that it increases by 5% at the beginning of each calendar year, we can use the following steps:

1. Initial Cost in February 2011: The initial cost of the service in February 2011 was 2000 rubles.

2. Calculate the Annual Increase: The cost increases by 5% at the beginning of each year.

3. Determine the Number of Years: We need to calculate the number of years from February 2011 to August 2013.

4. Apply the Annual Increase: Apply the 5% increase for each year to find the cost in August 2013.

Calculation Steps

1. Initial Cost in February 2011: 2000 rubles [[Source 1]].

2. Annual Increase: The cost increases by 5% at the beginning of each year.

3. Number of Years: From February 2011 to August 2013, there are 2 years and 6 months.

4. Apply the Annual Increase: - For the first year (2011 to 2012), the cost increases by 5%. - For the second year (2012 to 2013), the cost increases by 5%. - For the additional 6 months in 2013, the cost increases by 5% of the cost at the beginning of 2013.

Calculation

1. First Year Increase (2011 to 2012): - 2000 rubles + 5% = 2000 + (2000 * 0.05) = 2000 + 100 = 2100 rubles.

2. Second Year Increase (2012 to 2013): - 2100 rubles + 5% = 2100 + (2100 * 0.05) = 2100 + 105 = 2205 rubles.

3. Additional 6 Months Increase (2013): - 2205 rubles + 2.5% (half of 5%) = 2205 + (2205 * 0.025) = 2205 + 55.125 = 2260.125 rubles.

Conclusion

The cost of the phone line service in August 2013, considering a 5% increase at the beginning of each calendar year, would be approximately 2260.125 rubles.