hujemastr
Опубликовано 1 год назад по предмету Алгебра от hujemastr

Клиент положил в банк некоторую сумму денег под процент, который начисляется ежемесячно только на вложенную сумму. Он планировал, что за год вклад вырастет на 240 тыс. руб. Но через полгода он снял со своего счёта 200 тыс. руб. В конце года на его счету было 416 тыс. руб. Какова исходная сумма вклада? А. 300 000 руб. Б. 400 000 руб. В. 500 000 руб. Г. 600 000 руб

  1. Ответ
    Ответ дан tamarabernukho
    Пусть S - исходная сумма вклада,тогда1) 240/12=20 (тыс. руб. )- ежемесячный прирост вклада2) 6*20=120 (тыс. руб.)- прирост вклада за 1 полгода3) S+120-200=S-80  (тыс. руб.)  cумма вклада на начало второго полугодия4)20/S    процент вклада5) (S-80)+6*20/S *(S-80)=416(S-80)*S+120(S-80)=416SS²-80S+120S-9600-416S=0S²-376S-9600=0D=141376+4*9600=17776=424²S=(376+424)/2=800/2=400S>0ОТВЕТ Б)400 000 руб.
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Cjabz
Английский язык - 3 месяца назад

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