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Rus_ich [418]
4 years ago
15

A recent study showed that the number of Australian homes with a computer doubles every 8 months. Assuming that the number is in

creasing continuously, at approximately what monthly rate must the number of Australian computer owners be increasing for this to be true?
A. 68%
B. 8.66%
C. 0.0866%
D. 0.002%
Mathematics
1 answer:
kobusy [5.1K]4 years ago
6 0

Answer:

B. 8.66%

Step-by-step explanation:

In this case we have to evaluate the following formula:

n = e ^ (k * t)

where n would be the growth rate, we are told that it doubles therefore it is 2.

k is the monthly rate and time, 8 months.

Solved for k, we are left with:

ln (n) = k * t

k = ln (n) / t

replacing we have:

k = ln (2) / t = 0.693 / 8

k = 0.0866

If we take this to a percentage it would be 0.0866 * 100 = 8.66%

Therefore the answer is B.

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Which of the following is an arithmetic sequence? <br> 0,2,4,6<br> 1,2,4,8<br> 1,4,8,13
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8 0
3 years ago
Look at the pair of equivalent expressions. 36 + 8 = ?(9 + 2) What number is missing from the expression?
JulijaS [17]

Answer:

? = 4

4 is the number missing on the right.

Step-by-step explanation:

Check out the 8 on left. It has become a 2 on the right. How did that happen?

What do you have to multiply the 2 by to get 8?

Before I answer, check out the 9 on the right. What did you have to multiply it by to get 36? The answer to that is 4 isn't it?

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7 0
3 years ago
I NEED HELP PLS.......
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8 0
3 years ago
Read 2 more answers
A triangle is to be dilated with the origin as the center of dilation and with a scale factor of 2. Which answer choice correctl
saveliy_v [14]

Answer:

All the coordinates are changed to

(x, y) ⇒ (2x, 2y)

Step-by-step explanation:

Given - A triangle is to be dilated with the origin as the center of dilation and with a scale factor of 2.

To find -  Which answer choice correctly maps this dilation algebraically?​

Proof -

Let ABC is a triangle where A, B, C are the vertices of the triangle respectively.

Now,

Let the coordinates be (x, y)

If a triangle is to be dilated with the origin as the center of dilation and with a scale factor of a , then the coordinated be changes as

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Here given , a = 2

So, all the coordinates are changed to

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3 years ago
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