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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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Answer:

  22.09 ft²

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = πr² . . . . where r is the radius, half the diameter

The slice, at 45°, is 1/8 of the circle, so the area of the slice is ...

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3 years ago
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A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second
ikadub [295]

The largest interval of x-values where the function is increasing is (-1, 1)

<h3>How to determine the largest increasing interval?</h3>

The table of values is added as an attachment

From the table, the function f(x) decreases from x = -3 to x = -1 and x = 1 and x = 2

So, we make use of the intervals

x = -1, 0 and 1

From the table,

From x = -1 to 0, the change is 3

From x =  0 to 1, the change is 3

From x =  -1 to 1, the change is 6

Using the above highlights, the largest increasing interval is (-1, 1)

Hence, the largest interval of x-values where the function is increasing is (-1, 1)

Read more about function interval at:

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2 years ago
(a+2b)² ?????????????????????<br>​
lbvjy [14]

Answer:

a² + 4ab + 4b²

Step-by-step explanation:

Given

(a + 2b)²

= (a + 2b)(a + 2b)

Each term in the second factor is multiplied by each term in the first factor, that is

a(a + 2b) + 2b(a + 2b) ← distribute both parenthesis

= a² + 2ab + 2ab + 4b² ← collect like terms

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3 years ago
Julie buys a pair of jeans that cost $39. If they have a 25% discount, what is the sale price of the jeans?
NISA [10]

Answer:

$29.25

Step-by-step explanation:

39 x .25 = 9.75

39 - 9.75 = 29.25

5 0
2 years ago
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