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Vanyuwa [196]
3 years ago
15

Which of the following represents 12% growth per time period?

Mathematics
1 answer:
Andreyy893 years ago
5 0

Answer:

f(x) = 1,000(1.12)x

Step-by-step explanation:

You can use your context clues to figure out this answer.

Your goal is to find an answer that :

1) The number is greater than 1,000 (since it grows)

2) The number doesn't increase too much, but a close estimate to 12%

A percentage (that is less than 100%) is a decimal number. A percentage represents that number out of 100. So, 12% is only 12 out of 100.

Meaning that .12 = 12%. But in this case, we want an increase of 12%. Since we want it to grow from our initial value, <em>1,000</em>, you want to find where the multiplier is greater than 1. Because 100% of 1000 is 1000. + .12 = 112%.

If you put in your calculator, 1000 * 1.12, you should get 1,120

. g(x) actually decreases 1,000. It actually gets 12% of 1,000.

h(x) represents 80% of 1,000 but not an increase of 12%.

k(x) is such a huge number and should automatically be negated/crossed off.

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Step-by-step explanation:

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Answer:

y=\frac{x+2}{4} or y = 0.25x + 0.5

Step-by-step explanation:

You need to try change the subject from x to y.

x = 4y - 2

We first move -2 to the left, making the equation

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We then divide both sides by 4.

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3 years ago
Root 3 cosec140° - sec140°=4<br>prove that<br><br>​
Lorico [155]

Answer:

Step-by-step explanation:

We are to show that \sqrt{3} cosec140^{0} - sec140^{0} = 4\\

<u>Proof:</u>

From trigonometry identity;

cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}

\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\

From trigonometry, 2sinAcosA = Sin2A

= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\=  \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\=  \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2  \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

\frac{4(sin(420-140)) }{sin280}

= \frac{4sin280}{sin280}\\ = 4 \ Proved!

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3 years ago
I need help with this, pls help
Alex

Answer:

Step-by-step explanation:

why

4 0
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