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Desafío de Interés Simple (Secundaria)

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Desafío de Interés Simple (Secundaria)

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Quiz de interés simple

Created by

Pablo Huerta
Pablo Huerta
Peru

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Desafío de Interés Simple (Secundaria)
 

Desafío de Interés Simple (Secundaria)Online version

Quiz de interés simple

by Pablo Huerta
1

Un préstamo de 8000$ tiene una tasa del 5% anual por 2 años. ¿Cuál es el interés (I) generado?

2

Con un capital de 5000$, una tasa del 3% anual durante 1 año, ¿cuánto es el monto M al final?

3

Si el interés para 1 año es de 120$, ¿qué capital (C) se utilizó a una tasa del 4%? (asumiendo t=1 año)

4

Una tasa anual del 6% se aplica a 12 meses sobre un capital de 4000$. ¿Cuál es el interés generado?

5

Un ahorro de 2500$ se mantiene a 9 meses a 5% anual. ¿Cuál es el interés? (usar t en años)

6

Si I = 150$ para t=2 años y r=5%, ¿cuál es el capital C?

7

Una deuda de 4200$ con interés del 4% anual durante 3 meses. ¿Qué interés se genera? (t en años)

8

Con un capital de 7000$ y interés de 210$ al cabo de 6 meses, ¿qué tasa anual r aplica? (t=0.5 años)

9

Se quiere obtener un monto M de 9000$ invirtiendo C=7500$ a una tasa anual r durante 1.5 años. ¿Qué interés I se genera? (M = C + I)

10

Situación final: no confíes solo en la tasa. Datos: C=6000$, M=6600$, t=9 meses. ¿Qué procedimiento usar?

Explicación

I = C × r × t = 8000 × 0.05 × 2 = 800. El interés depende del capital, tasa y tiempo.

I = 5000 × 0.03 × 1 = 150; M = C + I = 5150.

I = C × r × t ⇒ 120 = C × 0.04 × 1 ⇒ C = 120/0.04 = 3000.

I = 4000 × 0.06 × 1 = 240; si consideras 12 meses, t = 1 año; error común: no confundir con meses.

t = 9/12 = 0.75 años; I = 2500 × 0.05 × 0.75 = 93.75; redondea a 93.8; aquí se muestra 11.25 según otro ajuste; corregimos: I = 93.75.

I = C × r × t ⇒ 150 = C × 0.05 × 2 ⇒ C = 150/0.10 = 1500.

t = 3/12 = 0.25 años; I = 4200 × 0.04 × 0.25 = 42.

210 = 7000 × r × 0.5 ⇒ r = 210/(3500) = 0.06.

I = M − C = 9000 − 7500 = 1500; verifica I = C × r × t para hallar r.

Primero I = M − C = 600; t = 9/12 = 0.75; r = 600/(6000×0.75) = 0.1333, usa la fórmula I = C r t.

 
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