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Rus_ich [418]
3 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]3 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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Round 721295.198715 to the nearest ten.
zimovet [89]

Answer:

7212960

Step-by-step explanation:

You have to round up since the number in the ones place is a 5.

4 0
3 years ago
Shown below is a blueprint for a rectangular kennel at a pet hotel.
yulyashka [42]

Answer:

The total length of fencing needed to enclose the kennel 74 feet.

Step-by-step explanation:

Given:

The blueprint of the rectangular kennel shows one side is 23 feet and another side is 14 feet.

As it is a rectangular shape, let the two sides be the length and the breadth of the rectangular kennel. i.e

length = L = 23\ feet\\breadth = B = 14\ feet\\

To find:

Total length of fencing needed is to enclose the kennel. i.e

Perimeter of a rectangular kennel = ?

Solution:

we have the formula for perimeter of a rectangle as giving below.

\textrm{perimeter of rectangle} = 2(length + breadth) \\\textrm{total length of fencing} = 2( L+B)\\ \textrm{substituting the values of length and breadth we get}\\ \textrm{total length of fencing} = 2(23+14)\\=2\times37\\= 74\ feet

Therefore,the total length of fencing needed to enclose the kennel 74 feet.

8 0
3 years ago
If there are 600 marbles in a jar, and 22% of them are red, how many are red
Blizzard [7]

Answer:

132

Step-by-step explanation:

5 0
3 years ago
What is the value of j(-5)
elena55 [62]

f(x)=\left\{\begin{array}{ccc}2-x&if&x\leq-5\\x+11&if&x > -5\end{array}\right\\\\-5\leq-5\ \text{therefore for}\ x=-5,\ f(x)=2-x\\\\f(-5)=2-(-5)=2+5=7

6 0
3 years ago
PHOTO HERE^<br> help????????
Dmitrij [34]
Please put a thanks so i know your question was answered. It helps since im new here and really boosts my morale :D

if x =4 and y =-3

F = \frac{ x^{2}-4y }{2}  =  \frac{ (4)^{2}-4(-3) }{2}  =  \frac{ 16+12 }{2}  = 14


3 0
3 years ago
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