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Mumz [18]
3 years ago
13

Calcula la longitud en YARDAS de

Mathematics
1 answer:
tatiyna3 years ago
4 0

Answer:

Las longitudes solicitadas en yardas son:

  • <u>Trayecto A = 109.361 yardas.</u>
  • <u>Trayecto B = 20.231785 yardas.</u>

Step-by-step explanation:

Para hacer la conversión de unidades que requieres en el ejercicio, debes saber que:

  • 1 metro = 1.09361 yardas

Con ese factor de conversión tú puedes hacer reglas de tres para calcular las medidas que requieres. En el caso del trayecto A:

Si:

  • 1 metro = 1.09361 yardas
  • 100 metros = X

Entonces:

  • x=\frac{100m *1.09361yardas}{1m}

Cancelamos metros y obtenemos:

  • x = 100 * 1.09361 yardas
  • <u>x = 109.361 yardas</u>

En este caso, <u>el trayecto A en yardas corresponde a 109.361 yardas</u>. El mismo procedimiento puede aplicarse para el trayecto B:

Si:

  • 1 metro = 1.09361 yardas
  • 18.50 metros = X

Entonces:

  • x = \frac{18.50m*1.09361yardas}{1m}

Cuando se cancelan los metros se obtiene:

  • x = 18.50 * 1.09361 yardas
  • <u>x = 20.231785 yardas</u>

Así, <u>el trayecto B en yardas corresponde a 20.231785 yardas</u>.

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A function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(\mathrm{t})=80 \times 1.05^{\mathrm{t}}

<h3><u>Solution:</u></h3>

Given that  

A manufacturing plant earned $80 per man-hour of labor when it opened.

Each year, the plant earns an additional 5% per man-hour.

Need to write a function that gives the amount A(t) that the plant earns per man-hour t years after it opens.  

Amount earned by plant when it is opened = $80 per man-hour

As it is given that each year, the plants earns an additional of 5% per man hour

So Amount earned by plant after one year = $80 + 5% of $80 = 80 ( 1 + 0.05) = (80 x 1.05)

Amount earned by plant after two years is given as:

=(80 \times 1.05)+5 \% \text { of }(80 \times 1.05)=(80 \times 1.05)(1.05)=80 \times 1.052

Similarly Amount earned by plant after three years =80 \times 1.05^{t}

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Hence a function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(t)=80 \times 1.05^{t}

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