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Задать вопрос экспертам

Консультация № 188696

21.01.2016, 18:11

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Образование

Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
По вкладу «А» банк в конце каждого года планирует увеличивать на 10 % сумму, имеющуюся на вкладе в начале года, а по вкладу «Б» — увеличивать эту сумму на 5 % в первый год и на одинаковое целое число n процентов и за второй, и за третий годы. Найдите наименьшее значение n , при котором за три года хранения вклад «Б» окажется выгоднее вклада «А» при одинаковых
суммах первоначальных взносов.

Обсуждение

давно

Roman Chaplinsky / Химик CH

Модератор
156417
2175

21.01.2016, 18:49

общий

это ответ

Здравствуйте, Посетитель - 399097!
По вкладу А сумма каждый год умножается на 1,1
По вкладу Б сумма певый год умножается на 1,05, а каждый последующий год на 1+n/100
Составляем неравенство, выражающее отношение конечной суммы к изначальной через 3 года по каждому вкладу
1,1³<1,05[$183$](1+n/100)²
учитывая, что все числа заведомо положительны
(1+n/100)²>1,1³/1,05
1+n/100>[$8730$](1,1³/1,05)
n>([$8730$](1,1³/1,05)-1)[$183$]100
n>12,58...
учитывая, что n - целое
n[$8805$]13

Ставка по кредитному плану Б должна быть не меньше 13% начиная со второго года.

5

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