Question

Василисе на День рождения подарили 24 000 рублей. Она давно мечтала купить фотоаппарат, но данной суммы недостаточно. Василиса решила разместить 24 000 руб. на депозите в банке. Условия вклада: срок 1 год, проценты начисляются раз в полгода по ставке 5% годовых. Определите, какая сумма будет на счёте К концу срока вклада. Число

Answer 1

Ответ:

24.500 сумма на счетё вклала

Answer 2

To determine the final amount on Vasilisa's account at the end of the deposit term, we need to calculate the interest earned on the initial deposit of 24,000 rubles. The deposit has a term of 1 year, and the interest is compounded semi-annually at a rate of 5% per year.

Calculation:

To calculate the final amount, we can 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 (as a decimal) - n is the number of times interest is compounded per year - t is the number of years

In this case: - P = 24,000 rubles - r = 5% = 0.05 (as a decimal) - n = 2 (compounded semi-annually) - t = 1 year

Plugging in the values into the formula, we get:

A = 24,000(1 + 0.05/2)^(2*1)

Simplifying the equation:

A = 24,000(1 + 0.025)^2

Calculating the values inside the parentheses:

A = 24,000(1.025)^2

Calculating the exponent:

A = 24,000(1.050625)

Calculating the final amount:

A ≈ 25,217.50 rubles

Therefore, the final amount on Vasilisa's account at the end of the deposit term will be approximately 25,217.50 rubles.