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4 years ago

1. Suppose you invest $1000 at an annual interest rate of 4% compounded continuously. How much will you

Mathematics

1 answer:

BlackZzzverrR [31]4 years ago

4 0

You take the 4% and multiply that by eight then you get 0.32 and you multiply that by 1000 and you get 320.00

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3 years ago

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3 years ago

The large sample 98% confidence interval for the proportion of hotel reservations that are canceled on the intended arrival day

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3 years ago

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julsineya [31]

Answer: 41 vans will be needed.

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3 years ago

En una hoja de papel cuyo perímetro es de 96 centímetros, se quiere imprimir un volante de manera que el área impresa sea un rec

elixir [45]

Answer:

El perímetro de la región impresa es 72 cm y su área es 288 cm².

Step-by-step explanation:

1. Tenemos el perímetro de la hoja de papel:

P₁ = 96 cm = 2l₁ + 2a₁ (1)

Como sabemos el margen superior, inferior, izquierdo y derecho podemos encontrar la relación entre el largo y ancho del rectángulo interno (región impresa) con el largo (l) y ancho (a) del rectángulo externo (hoja de papel):

$l_{2} = l_{1} - (m_{s} + m_{i}) = l_{1} - (3 cm + 2 cm) = l_{1} - 5 cm$ (2)

$a_{2} = a_{1} - (m_{d} + m_{iz}) = a_{1} - (2 cm + 5 cm) = a_{1} - 7 cm$ (3)

El perímetro del rectángulo interno es:

$P_{2} = 2l_{2} + 2a_{2}$ (4)

Introduciendo la ecuación (2) y (3) en (4):

$P_{2} = 2l_{2} + 2a_{2} = 2(l_{1} - 5 cm) + 2(a_{1} - 7 cm) = 2l_{1} + 2a_{1} - 10 cm - 14 cm = 96 cm - 24 cm = 72 cm$

Por lo tanto el perímetro del rectángulo interno (región impresa) es 72 cm.

2. Ahora para encontrar el área rectángulo interno debemos encontrar el largo y ancho del mismo, sabiendo que:

$l_{2} = 2a_{2}$ (5)

Introduciendo (5) en (4):

$P_{2} = 2l_{2} + 2a_{2} = 2*2a_{2} + 2a_{2} = 6a_{2}$

$a_{2} = \frac{P_{2}}{6} = \frac{72 cm}{6} = 12 cm$

$l_{2} = 2a_{2} = 2*12 cm = 24 cm$

Entonces el área es:

$A_{2} = l_{2}*a_{2} = 12 cm*24 cm = 288 cm^{2}$

Por lo tanto el área del rectágulo interno (región impresa) es 288 cm².

Espero que te sea de utilidad!

7 0

3 years ago