Question

Вкладчик положил в банк 400 000 тг.Годовая процентная ставка банка 15%.Какая сумма будет на счете у клиента через 3 года при начислении банков банков сложных процентов. Пожалуйста срочно помогите

Answer 1

Calculation of Compound Interest

To calculate the amount that will be on the client's account after 3 years with the bank's annual interest rate of 15% and compounding interest, we can use the formula for compound interest:

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

Where: - A is the final amount on the account - P is the principal amount (initial deposit) - r is the annual interest rate (expressed as a decimal) - n is the number of times that interest is compounded per year - t is the number of years

In this case, the principal amount (P) is 400,000 tenge, the annual interest rate (r) is 15% (or 0.15 as a decimal), the compounding period (n) is not specified, and the number of years (t) is 3.

Let's calculate the final amount on the account:

A = 400,000(1 + 0.15/n)^(n*3)

Since the compounding period (n) is not specified, we will assume it to be annually (n = 1).

A = 400,000(1 + 0.15/1)^(1*3)

Simplifying the equation:

A = 400,000(1 + 0.15)^3

Now, let's calculate the final amount:

A = 400,000(1.15)^3

Using a calculator, we find that:

A ≈ 400,000 * 1.52087 ≈ 608,348.00 tenge

Therefore, the amount on the client's account after 3 years, with the bank's compounding interest, will be approximately 608,348.00 tenge.

Please note that the above calculation assumes that the interest is compounded annually. If the compounding period is different, the calculation may vary.