Question

3. Вкладник поклав у банк 20 000 грн. За перший рік йому було нараховано певний відсоток річних а другого року банківський відсоток було збільшено на 2 %. На кінець другого року на рахунку стало 22 048 грн. Скільки відсотків становила банківська ставка у перший рік ?

Answer 1

Ответ:

22 048-20 000÷2%=102 400

Answer 2

Calculation of Bank Interest Rate for the First Year

To calculate the bank interest rate for the first year, we can use the formula for compound interest:

A = P(1 + r)^n

Where: - A = the amount of money accumulated after n years, including interest. - P = the principal amount (initial deposit). - r = the annual interest rate (in decimal). - n = the number of years the money is deposited for.

Given: - P = 20,000 грн. - A = 22,048 грн. - n = 2 years.

We need to find the annual interest rate (r) for the first year.

Calculation

Using the given values, we can rearrange the formula to solve for r:

r = (A/P)^(1/n) - 1

Substituting the given values: r = (22,048 / 20,000)^(1/2) - 1

Calculating: r ≈ 1.05 - 1 r ≈ 0.05

So, the bank interest rate for the first year was approximately 5%.

This calculation assumes that the interest is compounded annually.