Предмет: Алгебра, автор: TsypaCreepa

Клиент банка взял кредит размером 50000 руб. на 3 года. Банк каждый год увеличивает текущую сумму долга на 20 %. Какую сумму должен вернуть в банк клиент, если выплатит единоразово весь кредит с процентами после указанного срока?
Даю 50 баллов

Ответы

Автор ответа: qqlouxqwq

5

50000=100%

50000:20=2500 - 20%

50000+(2500х3)=50000+7500=57500 руб

ответ: клиент должен вернуть 57500 рублей

TsypaCreepa: Данная задача относится к типу задач на вычисление геометрической прогрессии, потому что сумма кредита увеличится в определённое количество раз.
Переведём проценты в десятичную дробь.

20%=20100=0,2.

Найдём коэффициент увеличения суммы кредита.

1+0,2 = 1,2.

Формула для нахождения суммы кредита: bn=b1⋅qn.

По условию задачи b1=50000, q=1,2.

Подставим в формулу.

b3=50000⋅(1,2)3=86400 (руб.).

Правильный ответ: 86400.

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