Question

СРОЧНО Какую сумму должен положить вкладчик в банк, чтобы получить через 6 месяцев 12,000 рублей, если банк выплачивает 40% годовых? ДАЮ 20БАЛЛОВ

Answer 1

Сумма х (1+0,4 х 6÷12) = 12 000
сумма = 12000 ÷ (1+0,4х6÷12)
сумма= 10 000

Answer 2

Calculation of the Deposit Amount

To calculate the amount that the depositor needs to deposit in the bank to receive 12,000 rubles after 6 months with an annual interest rate of 40%, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where: - A is the final amount (12,000 rubles in this case) - P is the principal amount (the amount to be deposited) - r is the annual interest rate (40% in this case) - n is the number of times interest is compounded per year (assuming it is compounded annually, n would be 1) - t is the time in years (6 months is equivalent to 0.5 years)

We can rearrange the formula to solve for P:

P = A / (1 + r/n)^(nt)

Substituting the given values into the formula:

P = 12,000 / (1 + 0.4/1)^(1*0.5)

Calculating this expression gives us the amount that the depositor needs to deposit in the bank.

Please note that the search results provided do not contain the exact information needed to cite a specific source. However, the formula and calculation provided are based on the general principles of compound interest.