Question

Вклад в банке на 1 год составляет 16.5% годовых.Проценты выплачиваются ежемесячно их величина по 12250 р. необходимо определить величину первоначального взноса

Answer 1

Пусть вся сумма х рублей. Значит ежемесячно начисляются $(1,165^ \frac{1}{12}-1)*x$ от исходной суммы. Эта сумма по условию равна 12250 р. Составим уравнение

$(1,165^ \frac{1}{12}-1)*x=12250$

$x=\frac{12250}{ \sqrt[12]{1,165} -1}$

$x\approx 956426,98$

Ответ: приблизительно 956426,98 рублей

Answer 2

Calculation of the Initial Deposit

To determine the initial deposit amount, we need to calculate the total interest earned over the course of one year based on the given interest rate and monthly interest payments.

The interest rate is stated as 16.5% per annum, which means that the annual interest rate is 16.5%. However, the interest is paid monthly, so we need to calculate the monthly interest rate.

To find the monthly interest rate, we divide the annual interest rate by 12 (the number of months in a year):

Monthly interest rate = Annual interest rate / 12

Let's calculate the monthly interest rate:

Monthly interest rate = 16.5% / 12 = 1.375%

Now, we can calculate the total interest earned over the course of one year. The interest is paid monthly, and the amount of interest paid each month is given as 12,250 rubles.

To find the total interest earned, we multiply the monthly interest payment by the number of months in a year:

Total interest earned = Monthly interest payment * 12

Let's calculate the total interest earned:

Total interest earned = 12,250 rubles * 12 = 147,000 rubles

Finally, to determine the initial deposit amount, we need to subtract the total interest earned from the final amount after one year. Since the interest is paid monthly, the final amount after one year will be the sum of the initial deposit and the total interest earned.

Let's denote the initial deposit amount as X. The final amount after one year is given as 147,000 rubles.

Final amount after one year = Initial deposit + Total interest earned

147,000 rubles = X + 147,000 rubles

Simplifying the equation, we find:

X = 0 rubles

Therefore, the initial deposit amount is 0 rubles. This means that no initial deposit is required since the final amount after one year is equal to the total interest earned.

Please note that the given information does not provide any specific details about the terms and conditions of the investment or the calculation method used. It is always recommended to consult with the bank or financial institution for accurate and detailed information regarding specific investment products.