Question

Вычисли конечный размер капитала, если дан начальный капитал k, процентная ставка p% и срок хранения t. 1. k=860Евро p%= 4% t=8 мес. (С решение пожалуйста)

Answer 1

Будем считать, что  р=4% - ГОДОВЫХ.
Тогда в МЕСЯЦ ставка будет    
р(мес) = р(год) ^(1/12) = 1.04^(1/12) = 1..0327374
И расчет вклада
К = к*р(мес)^t = 860* 1.0327^8 = 860*1.02649 = 882.73 евро. 
ОТВЕТ: Конечный размер капитала 882,73 евро.
Справочно: Доход за 8 месяцев 22,78, евро
Через год  К= 894,4 и доход за год 34,40 евро 

Answer 2

Calculation of the Final Capital

To calculate the final capital, we can use the formula for compound interest:

Final Capital = Initial Capital * (1 + (p/100))^t

Where: - Initial Capital (k) = 860 Euros - Interest Rate (p) = 4% - Time Period (t) = 8 months

Substituting the given values into the formula, we can calculate the final capital:

Final Capital = 860 * (1 + (4/100))^8

Calculating the expression inside the parentheses first:

Final Capital = 860 * (1 + 0.04)^8

Simplifying the expression inside the parentheses:

Final Capital = 860 * (1.04)^8

Calculating the exponent:

Final Capital = 860 * 1.360490625

Calculating the final capital:

Final Capital ≈ 1170.42 Euros

Therefore, the final capital after 8 months will be approximately 1170.42 Euros.

Please note that the above calculation assumes that the interest is compounded annually. If the interest is compounded more frequently (e.g., monthly or quarterly), the formula and calculation would be different.