Question

Денежный вклад в банк за год увеличивется на 9%. Студент внес в банк 7000 руб. В конце первого года он решил увеличить сумму вклада и продлить срок действия договора по вкладу еще на год. Какую сумму необходимо положить на счет в конце первого года, чтобы в конце 2-го года получить 9810 руб. при той же процентной ставке (9%)?

Answer 1

Ответ:

1370

Пошаговое объяснение:

после первого года будет 7000*1,09=7630

после второго года стало 9810 по условию,

решим уравнение (7630+х)*1,09=9810

1,09х=9810-7630*1,09

1,09х=9810-8316,7

1,09х=1493,3

х=1370

Answer 2

Calculation of the Final Deposit Amount

To calculate the amount that needs to be deposited at the end of the first year in order to receive 9,810 rubles at the end of the second year with a 9% interest rate, we can use the formula for compound interest:

Final Amount = Principal Amount × (1 + Interest Rate)^Number of Periods

In this case, the principal amount is 7,000 rubles, the interest rate is 9%, and the number of periods is 2 (since the deposit is extended for another year).

Let's calculate the final amount:

Final Amount = 7,000 × (1 + 0.09)^2

Calculating this expression, we find that the final amount is approximately 7,000 × 1.1881 = 8,317.67 rubles.

Therefore, in order to receive 9,810 rubles at the end of the second year, the student would need to deposit approximately 8,317.67 - 7,000 = 1,317.67 rubles at the end of the first year.

Please note that the calculated amount is an approximation due to rounding.

Answer:

The student would need to deposit approximately 1,317.67 rubles at the end of the first year in order to receive 9,810 rubles at the end of the second year with a 9% interest rate.