Question

ДОПОМОЖІТЬ даю 70 балів!!!!! Власник поклав у банк 30000 грн під деякий відсоток річних. В кінці другого року на рахунку виявилося 34320 грн. Який відсоток склала банківська ставка в перший рік? ​

Answer 1

Ответ:

За другий рік власник отримав 4320 грн прибутку (34320 грн - 30000 грн). Нехай ставка в перший рік була х відсотків. Тоді за перший рік власник отримав би 30000 * х / 100 грн прибутку. Загалом за два роки власник отримав 30000 * х / 100 + 4320 грн прибутку. Це дорівнює 34320 грн:

30000 * х / 100 + 4320 = 34320

30000 * х / 100 = 30000

х = 100

Отже, банківська ставка в перший рік дорівнює 100%.

Answer 2

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

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

Where: A = the final amount P = the principal amount (initial deposit) r = the annual interest rate (unknown) n = the number of times that interest is compounded per year t = the number of years

In this case, the principal amount (P) is 30000 грн, the final amount (A) is 34320 грн, the number of years (t) is 2, and the number of times that interest is compounded per year (n) is not given.

Unfortunately, the search results did not provide the necessary information to calculate the exact interest rate. The number of times that interest is compounded per year (n) is crucial in determining the interest rate for the first year. Without this information, it is not possible to calculate the exact interest rate.

However, we can still calculate an approximate interest rate by assuming different values for the compounding frequency. Let's assume the interest is compounded annually (n = 1) for simplicity.

Using the formula, we can rearrange it to solve for the interest rate (r):

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

Substituting the given values:

r = (34320/30000)^(1/(1*2)) - 1

Calculating this, we find:

r ≈ 0.1473

Therefore, if the interest is compounded annually, the approximate interest rate for the first year would be approximately 14.73%.

Please note that this is an approximate calculation and the actual interest rate may vary depending on the compounding frequency.