Question

В начале 2006 года Аня положила в банк 10000 рублей под 13% годовых. Сколько рублей будет на счету у Ани в конце 2007 года, если в начале 2007 года она сняла со счёта 5000 рублей, а других операций со счётом за два года не производила. Проценты начисляются в конце каждого года.

Answer 1

1.10000-100%
х-113%
х=10000*1.13=113000
2.11300-5000=6300
3.6300*1.13=7119рублей

Answer 2

Calculation of the Final Amount

To calculate the final amount on Anna's account at the end of 2007, we need to consider the initial deposit, the interest rate, and any withdrawals made during the year.

Given: - Anna deposited 10,000 rubles at the beginning of 2006. - The interest rate is 13% per year. - Anna withdrew 5,000 rubles at the beginning of 2007. - No other transactions were made during the two-year period.

To calculate the final amount, we can follow these steps:

1. Calculate the interest earned in 2006: - The interest earned in 2006 is 13% of the initial deposit of 10,000 rubles. - Therefore, the interest earned in 2006 is 10,000 * 0.13 = 1,300 rubles.

2. Calculate the remaining balance at the beginning of 2007: - The remaining balance at the beginning of 2007 is the initial deposit minus the withdrawal made. - Therefore, the remaining balance at the beginning of 2007 is 10,000 - 5,000 = 5,000 rubles.

3. Calculate the interest earned in 2007: - The interest earned in 2007 is 13% of the remaining balance at the beginning of 2007. - Therefore, the interest earned in 2007 is 5,000 * 0.13 = 650 rubles.

4. Calculate the final amount at the end of 2007: - The final amount at the end of 2007 is the remaining balance at the beginning of 2007 plus the interest earned in 2006 and 2007. - Therefore, the final amount at the end of 2007 is 5,000 + 1,300 + 650 = 6,950 rubles.

Therefore, at the end of 2007, Anna will have 6,950 rubles on her account.