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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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Work out the volume of the shape​
pashok25 [27]

Answer:

\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

V_c=\dfrac{1}{3}\pi r^2H

r - radius

H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3

The formula of a volume of a sphere:

V_s=\dfrac{4}{3}\pi R^3

R - radius

Therefore the formula of a volume of a half-sphere:

V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3

We have R = 7cm. Substitute:

V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3

The volume of the given shape:

V=V_c+V_{hs}

Substitute:

V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3

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Step-by-step explanation:

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Step-by-step explanation:

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