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Lelu [443]
3 years ago
13

Metro cable tv tuvo ventas de 2500000 en su primer año de funcionamiento. Si a partir de entonces las ventas aumentaron 12% con

respecto al año anterior, calcule las ventas de la empresa en el quinto año y las ventas totales durante los primeros 5 años de operación
Mathematics
1 answer:
never [62]3 years ago
4 0

Explicación paso a paso:

Dado

Principal = 2,500,000

Tasa = 12% (anual)

tiempo = 5 años

Incremento después del primer año = 12% de 2.500.000

= 12/100 * 2,500,000

= 12 * 25000

= 300.000

El monto al final de los 5 años se calculará utilizando la fórmula de interés compuesto;

A = P (1 + r) ^ n

A = 2500000 (1 + 0,12) ^ 5

A = 2500000 (1,12) ^ 5

A = 2500000 (1,7623)

A = 4.405.854,208

<em><u>Por lo tanto, las ventas totales durante los primeros 5 años de operación son 4.405.854,208 </u></em>

<em><u> </u></em>

Obtenga la cantidad obtenida en el quinto año

El monto al final de los 4 años se calculará utilizando la fórmula de interés compuesto;

A = P (1 + r) ^ n

A = 2500000 (1 + 0,12) ^ 4

A = 2500000 (1,12) ^ 4

A = 2500000 (1,5735)

A = 3.933.798,4

Utilidad obtenida en el quinto año = 4.405.854,208 - 3.933.798,4

A = 4.405.854,208 - 3.933.798,4

A = 472.055,808

Por lo tanto, la ganancia obtenida en el quinto año es de 472,055.808

Monto realizado en el quinto año = Principal + intereses en el quinto año

Monto realizado en el quinto año = 2500000 + 472,055.808

<u><em>Monto realizado en el quinto año = 2,972,055.808</em></u>

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