Question

Банк выплачивает вкладчикам 16% годовых. Какую сумму нужно положить вкладчику в банк, чтобы по истечении года получить 1000 рублей

Answer 1

1)100%+16%=116% -суммы получит вкладчик через год в банке

2)1000 : 116%:100%=862,07 (руб.) примерно 863 рубля - составит первоначальный вклад

Answer 2

1000 - 116 %

Х         100%

Х = (1000*100)\116 = 862.068

Ответ: 863 рубля

 

 

 

 

 

 

 

 

Answer 3

Calculating the Deposit Amount

To calculate the deposit amount needed to receive 1000 rubles after one year with a 16% annual interest rate, we can use the formula for compound interest:

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

Where: - A = the amount of money accumulated after n years, including interest. - P = the principal amount (initial deposit). - r = the annual interest rate (in decimal). - n = the number of times that interest is compounded per year. - t = time the money is invested for in years.

In this case, we want to find P, the principal amount. We are given A = 1000, r = 16% or 0.16, n = 1 (compounded annually), and t = 1 year.

Using the formula, we can solve for P:

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

Calculation

P = 1000 / (1 + 0.16/1)^(1*1)

P = 1000 / (1.16)

P ≈ 862.07

So, the deposit amount needed to receive 1000 rubles after one year with a 16% annual interest rate is approximately 862.07 rubles.