Question

Банк принимает вклады с ежегодной выплатой p% от всей накопленной суммы. Вкладчик положил в банк 50 000 р. и спустя два года его вклад составил 54 080 р. Найдите p.

Answer 1

8.16% но я не уверена что правильно.

Answer 2

Calculation of the Interest Rate (p) on the Deposit

To find the interest rate (p) on the deposit, we can use the formula for compound interest:

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

Where: - A is the final amount of the deposit after two years (54,080 rubles) - P is the initial amount of the deposit (50,000 rubles) - p is the annual interest rate (to be determined) - n is the number of times the interest is compounded per year (not given) - t is the number of years (2 years)

Since the number of times the interest is compounded per year (n) is not given, we will assume it to be compounded annually.

Plugging in the given values into the formula, we have:

54,080 = 50,000(1 + p/1)^(1*2)

Simplifying the equation:

54,080 = 50,000(1 + 2p)

Dividing both sides by 50,000:

1.0816 = 1 + 2p

Subtracting 1 from both sides:

0.0816 = 2p

Dividing both sides by 2:

p = 0.0408

Therefore, the interest rate (p) on the deposit is approximately 4.08%.