Question

Вкладчик положил в банк некотурую сумму денег из расчета 9,5% годовых. Через год на счете оказалось 43 800 р. Чему равен первоночальный вклад? Пожалуйста,помогите:( Заранее спасибо :)

Answer 1

43800 это 109,5%
43800/109,5*100=40000 он положил

Answer 2

Calculation of the Initial Deposit

To calculate the initial deposit, we can use the formula for compound interest:

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

Where: - A is the final amount in the account after one year (43,800 rubles in this case). - P is the initial deposit we want to find. - r is the annual interest rate (9.5% in this case). - n is the number of times interest is compounded per year (assuming it is compounded annually, so n = 1). - t is the number of years (1 year in this case).

We can rearrange the formula to solve for P:

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

Substituting the given values into the formula, we get:

P = 43,800 / (1 + 0.095/1)^(1*1)

Now let's calculate the initial deposit using this formula.

Calculation:

P = 43,800 / (1 + 0.095/1)^(1*1)

P = 43,800 / (1 + 0.095)^(1)

P = 43,800 / (1.095)^(1)

P ≈ 40,000 rubles

Therefore, the initial deposit is approximately 40,000 rubles.

Please note that this calculation assumes that the interest is compounded annually and that there are no additional deposits or withdrawals made during the year.