Question

Петров внес на депозит 20000 ,от 15,2% годовых(сложный процент).Какая сумма будет начислена через 2, 3,5 лет.

Answer 1

Calculation of Interest on Deposit

To calculate the amount that will be accrued on a deposit after a certain period of time, we need to use the formula for compound interest:

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

Where: - A is the final amount - 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, Petrov deposited 20,000 rubles at an annual interest rate of 15.2% (expressed as a decimal). The interest is compounded annually.

Let's calculate the amount that will be accrued after 2 years and after 3.5 years.

Calculation after 2 years:

Using the formula, we have:

A = 20000(1 + 0.152/1)^(1*2)

Simplifying the equation:

A = 20000(1 + 0.152)^2

Calculating the exponent:

A = 20000(1.152)^2

A ≈ 20000(1.3249)

A ≈ 26498 rubles

Therefore, after 2 years, the amount accrued on the deposit will be approximately 26,498 rubles.

Calculation after 3.5 years:

Using the formula, we have:

A = 20000(1 + 0.152/1)^(1*3.5)

Simplifying the equation:

A = 20000(1 + 0.152)^3.5

Calculating the exponent:

A = 20000(1.152)^3.5

A ≈ 20000(1.5489)

A ≈ 30978 rubles

Therefore, after 3.5 years, the amount accrued on the deposit will be approximately 30,978 rubles.

Please note that these calculations are approximate and do not take into account any additional factors such as taxes or fees that may be applicable to the deposit.