Question

15-го января планируется взять кредит в банке на 21 месяц. условия его возврата таковы: 1-го числа каждого месяца долг возрастает на 3% по сравнению с концом предыдущего месяца со 2-го по 14-е число каждого месяца необходимо выплатить часть долга 15-го числа каждого месяца долг должен быть на одну и ту же величину меньше долга на 15-е число предыдущего месяца Сколько процентов от суммы кредита составляет общая сумма денег, которую нужно выплатить банку за весь срок кредитования? Пожааалуйста, поомогите :(

Answer 1

Решение во вложении.

Answer 2

Calculation of Total Repayment Amount for the Loan

To calculate the total repayment amount for the loan, we need to consider the conditions of repayment provided:

1. On the 1st day of each month, the debt increases by 3% compared to the end of the previous month. 2. From the 2nd to the 14th day of each month, a partial payment of the debt is required. 3. On the 15th day of each month, the debt should be reduced by the same amount as the debt on the 15th of the previous month.

Let's break down the calculation step by step:

1. Calculate the debt on the 15th of each month: - On the 15th of January, the debt is the initial loan amount. - On the 15th of February, the debt is the initial loan amount plus a 3% increase. - On the 15th of March, the debt is the previous debt plus a 3% increase. - This pattern continues for the remaining months.

2. Calculate the partial payment required from the 2nd to the 14th day of each month: - From the 2nd to the 14th of January, a partial payment is required. - From the 2nd to the 14th of February, a partial payment is required. - This pattern continues for the remaining months.

3. Calculate the total repayment amount for the loan: - Add up the debt on the 15th of each month. - Add up the partial payments required from the 2nd to the 14th of each month. - The sum of these amounts will give us the total repayment amount for the entire loan period.

Please note that the exact loan amount and any additional fees or interest rates are not provided in the question. Therefore, we will assume that the loan amount is 100 units for the purpose of this calculation.

Calculation Example

Let's calculate the total repayment amount for a loan of 100 units over a period of 21 months, based on the provided conditions.

1. Calculation of the debt on the 15th of each month: - On the 15th of January, the debt is 100 units. - On the 15th of February, the debt increases by 3%: 100 units + 3 units = 103 units. - On the 15th of March, the debt increases by 3%: 103 units + 3.09 units = 106.09 units. - This pattern continues for the remaining months.

2. Calculation of the partial payment required from the 2nd to the 14th of each month: - From the 2nd to the 14th of January, a partial payment is required. - From the 2nd to the 14th of February, a partial payment is required. - This pattern continues for the remaining months.

3. Calculation of the total repayment amount for the loan: