Question

Вы берете в банке 100тыс.руб. под 80%годовых на 2года,с ежеквартальным начислением прроцента.какую сумму вы должны вернуть банку через 2 года?

Answer 1

100 тыс-100 процентов
х-160 процентов(80+80 за 2 года)
100/x=100/160
x=100*160/100
x=160 тысяч

Answer 2

Calculation of the Amount to be Returned to the Bank

To calculate the amount that needs to be returned to the bank after 2 years, we need to consider the principal amount, the interest rate, and the compounding frequency.

Given: - Principal amount (P) = 100,000 rubles - Annual interest rate (r) = 80% - Compounding frequency = quarterly

To calculate the amount to be returned, we can use the formula for compound interest:

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

Where: - A is the amount to be returned - P is the principal amount - r is the annual interest rate (expressed as a decimal) - n is the number of times interest is compounded per year - t is the number of years

In this case, the interest is compounded quarterly, so n = 4 (4 times per year), and t = 2 (2 years).

Let's calculate the amount to be returned using the given values:

A = 100,000(1 + 0.8/4)^(4*2)

Calculating the values inside the parentheses first:

1 + 0.8/4 = 1.2

Now, substituting the values into the formula:

A = 100,000(1.2)^(8)

Calculating the exponent:

1.2^8 ≈ 3.058

Finally, calculating the amount to be returned:

A ≈ 100,000 * 3.058 ≈ 305,800 rubles

Therefore, you would need to return approximately 305,800 rubles to the bank after 2 years.