Question

Клиент банка внес 8000 рублей на вклад с годовым доходом 5% с условием, что в конце каждого года начисленные проценты капитализируются (добавляются к вкладу). Какая сумма в рублях окажется у него на счету через 2 года, если он никаких сумм со счета не снимал и дополнительных вложений не делал? Помогите, пожалуйста!)))

Answer 1

$8000(1+0,05)^2=8000*1.1025=8820$

Answer 2

Calculation of the Final Amount on the Bank Account

To calculate the final amount on the bank account after 2 years, we need to consider the initial deposit of 8000 rubles and the annual interest rate of 5% with compound interest. Compound interest means that the interest earned each year is added to the initial deposit and becomes part of the new principal for the next year's interest calculation.

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

Final Amount = Initial Deposit × (1 + Interest Rate)^Number of Years

In this case, the initial deposit is 8000 rubles, the interest rate is 5% (0.05), and the number of years is 2.

Plugging in these values into the formula, we get:

Final Amount = 8000 × (1 + 0.05)^2

Calculating this expression, we find that the final amount on the bank account after 2 years will be:

Final Amount = 8000 × (1.05)^2 = 8820 rubles.

Therefore, the client will have 8820 rubles on their account after 2 years if they do not withdraw any money or make additional deposits.

Please note that the above calculation assumes that the interest is compounded annually. If the interest is compounded more frequently (e.g., semi-annually or quarterly), the final amount may be slightly different.