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amm1812
3 years ago
9

Sergio y Camila, decidieron juntar sus ahorros para comprar una cámara de video que cuesta $5 400.00. Si Sergio puso un medio de

l costo y Camila un tercio de éste, ¿cuánto dinero les falta y qué fracción representa?
Mathematics
1 answer:
Charra [1.4K]3 years ago
5 0

Answer:

  • Amount remaining = $900
  • As fraction = 1/6

Step-by-step explanation:

Sergio brought a half of the $5,400 which is:

= 5,400 * 1/2

= $2,700

Camila brought a third of the cash which is:

= 5,400 * 1/3

= $1,800

The total amount remaining is:

= 5,400 - 2,700 - 1,800

= $900

As a fraction of the total this is:

= 900 / 5,400

= 1 / 6

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Mohamed and Li Jing were asked to find an explicit formula for the sequence -5, -25, -125, -625,....
Nuetrik [128]

Answer:

Li Jing's formula i.e.  \boxed{g_n=-5\cdot \:5^{n-1}}  is right.

Step-by-step explanation:

Considering the sequence

-5,\:-25,\:-125,\:-625,...

A geometric sequence has a constant ratio r and is defined by

g_n=g_0\cdot r^{n-1}

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{g_{n+1}}{g_n}

\frac{-25}{-5}=5,\:\quad \frac{-125}{-25}=5,\:\quad \frac{-625}{-125}=5

\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}

r=5

So, the sequence is geometric.

as

\mathrm{The\:first\:element\:of\:the\:sequence\:is}

g_1=-5

r=5

so

g_n=g_1\cdot r^{n-1}

\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:

g_n=-5\cdot \:5^{n-1}

Therefore, Li Jing's formula i.e.  \boxed{g_n=-5\cdot \:5^{n-1}}  is right.

8 0
3 years ago
a recipe calls for 6 cups of water and 4 cups of flour. if the recipe is decreased to use 2 cups of water, how much flour should
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Step-by-step explanation:

4 0
3 years ago
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<h2>2^7</h2>

Multiply

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128

Step-by-step explanation:

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Worded explanation:

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Unworded explanation:

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7 0
1 year ago
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