Question

Un capital de $10 000 se coloca a una tasa anual de interés compuesto del 6% durante 3 años. Determinar el interés generado Si la capitalización es una vez al año Si la capitalización es una vez al mes

Answer 1

Answer:

(a) $ 1191

(b) $ 1966.8

Step-by-step explanation:

Principal, P= $ 10000

Rate of interest, r = 6 % per year

time, t = 3 years = 36 months

(a) Interest per  year

The amount is given by

$A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{100} \right )^{3}\\\\A = 10000 \times 1.191\\\\A = 11910.2$

Interest is given by = $11910.2 - $10000 = $ 1910.6

(b) interest per month

The amount is given by

$A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{1200} \right )^{36}\\\\A = 10000 \times 1.1967\\\\A = 11966.8$

Interest paid is = $ 11966.8 - $ 10000 = $ 1966.8