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

в конце каждого года банк берет у ани

10000-100%

х-13%

х=1300 

в конце 2006 у ани осталось 10000-1300=8700

аня сняла деньги в начале 2007, значит уже осталось 8700-5000=3700

так как в конце каждого года снимаются деньги, то в конце 2007 у ани останется 3700-1300= 2400

 

Answer 2

Calculation of Interest

To calculate the amount of money that will be on Anna's account at the end of 2007, we need to consider the initial deposit of 10,000 rubles with an interest rate of 13% per year. Additionally, we need to account for the withdrawal of 5,000 rubles at the beginning of 2007.

Let's break down the calculation step by step:

1. Initial deposit in 2006: Anna deposited 10,000 rubles in the bank at the beginning of 2006. 2. Interest calculation for 2006: The interest is calculated at the end of each year. Therefore, at the end of 2006, Anna's account will have an additional 13% of the initial deposit. The interest earned in 2006 is 10,000 * 0.13 = 1,300 rubles. 3. Withdrawal in 2007: At the beginning of 2007, Anna withdrew 5,000 rubles from her account. 4. Interest calculation for 2007: Since no other operations were performed on the account during 2007, the interest will only be calculated on the remaining balance after the withdrawal. The remaining balance is 10,000 - 5,000 = 5,000 rubles. The interest earned in 2007 is 5,000 * 0.13 = 650 rubles.

To find the total amount on Anna's account at the end of 2007, we need to add the remaining balance and the interest earned in 2007:

Remaining balance: 5,000 rubles Interest earned in 2007: 650 rubles

Total amount at the end of 2007: 5,000 + 650 = 5,650 rubles.

Please note that the interest is calculated annually, so the interest earned in 2006 is not compounded for subsequent years.

Conclusion

At the end of 2007, Anna will have 5,650 rubles in her account if she deposited 10,000 rubles at the beginning of 2006, withdrew 5,000 rubles at the beginning of 2007, and did not perform any other operations on her account during the two-year period.

Please let me know if there's anything else I can help you with!