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murzikaleks [220]
3 years ago
5

5. El valor de un producto bancario es de 15€. El lunes sube un 3%, el martes baja un 7% y el miércoles sube un 10%. ¿Con qué va

lor comienza el jueves? ¿Cuál es su porcentaje de aumento o disminución desde el lunes?
Mathematics
1 answer:
Alenkinab [10]3 years ago
6 0

Answer:

El valor con el que comienza el jueves es 15.80535. El porcentaje de aumento desde el lunes es 5.369%

Step-by-step explanation:

Consideremos una cantidad x de un producto bancario, al multiplicar x por el factor (1+k%) implica un cambio de k% en el valor x. Si decimos que aumentó el valor de x, entonces k es positivo y si decimos que baja el valor de x, entonces tomamos k negativo.

Para comenzar, tenemos que x = 15. El valor con el que inicia el martes está dado por 15*(1+3%). Para calcular en cuánto comienza el miércoles, multiplicamos este valor por (1-7%). Es decir, 15*(1+3%)*(1-7%).

Finalmente, calculamos el valor inicial al jueves multiplicando por (1+10%).

Es decir,q ue el valor inicial el jueves es

15\cdot (1+3\%)\cdot(1-7\%)\cdot(1+10\%)= 15.80535

Para calcular el porcentaje de aumento con respecto al lunes, dividimos este valor por el costo inicial (15). POsteriormente, restamos 1 al resultado y lo multiplicamos por 100 (así nos da un porcentaje). Si el resultado final es positivo, es un aumento, y si es negativo es una disminución. En este caso el porcentaje es

(\frac{15.80535}{15}-1)\cdot 100 = 5.369\%

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