Question

Заемщик получил кредит на сумму 40 000 рублей под 20% годовых. Через 292 дней кредит был полностью погашен. Рассчитайте, какую сумму заемщик отдал банку? Насколько отличается эта сумма от одолженной? РЕШИТЕ ПО ДЕЙСТВИЯМ ФОРМУЛОЙ СЛОЖНЫХ ПРОЦЕНТОВ. ТОЛЬКО ЭТОЙ ПОЖАЛУЙСТА!!​​​

Answer 1

Ответ:

6 400

Пошаговое объяснение:

P[i]=P*(1+n/100*d/365)

здесь d – количество дней.

 

Решение: Применяем формулу простых процентов для вычислений

P[i]=40000*(1+20/100*292/365)=46400

46400-40000=6 400,00 (рублей)

Answer 2

Calculation of the Amount Repaid by the Borrower

To calculate the amount repaid by the borrower, we need to consider the principal amount borrowed, the interest rate, and the duration of the loan.

Given: - Principal amount borrowed: 40,000 rubles - Annual interest rate: 20% - Duration of the loan: 292 days

To calculate the amount repaid, we can use the formula for compound interest:

Amount repaid = Principal amount + Interest

The interest can be calculated using the formula:

Interest = Principal amount * (1 + (interest rate / 100)) ^ (duration in years) - Principal amount

Let's calculate the amount repaid step by step:

1. Convert the annual interest rate to a daily interest rate: - Daily interest rate = (1 + (annual interest rate / 100)) ^ (1 / 365) - 1 - Daily interest rate = (1 + (20 / 100)) ^ (1 / 365) - 1

2. Calculate the interest: - Interest = Principal amount * Daily interest rate * duration in days - Interest = 40,000 * Daily interest rate * 292

3. Calculate the amount repaid: - Amount repaid = Principal amount + Interest

Let's perform the calculations:

Step 1: - Daily interest rate = (1 + (20 / 100)) ^ (1 / 365) - 1 - Daily interest rate ≈ 0.00005479452

Step 2: - Interest = 40,000 * Daily interest rate * 292 - Interest ≈ 2,131.50684932 rubles

Step 3: - Amount repaid = Principal amount + Interest - Amount repaid = 40,000 + 2,131.50684932 - Amount repaid ≈ 42,131.50684932 rubles

Therefore, the borrower repaid approximately 42,131.51 rubles to the bank.

Difference between the Repaid Amount and the Borrowed Amount

To calculate the difference between the repaid amount and the borrowed amount, we subtract the principal amount from the amount repaid:

Difference = Amount repaid - Principal amount

Let's calculate the difference:

- Difference = 42,131.51 - 40,000 - Difference ≈ 2,131.51 rubles

Therefore, the difference between the repaid amount and the borrowed amount is approximately 2,131.51 rubles.

Please note that the calculations provided above are based on the given information and assume that the interest is compounded daily.