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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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If a Play Station was bought for $450 after a 10% discount what was the original price of the Play Station?
Gemiola [76]
If it was bought after 10% discount, it means it was bought at 90% of the original price:
90% = $450 
1% = $5
100% = $5 x 100
100% = $500

The original price of the Play Station was $500.
7 0
3 years ago
What is the percent of 14 out of 20? If someone could explain how I would find the percentage that would be great. :)
nasty-shy [4]
14/20 = 0.7....multiply by 100 to get ur percent = 70%
so 14 is 70% of 20
8 0
3 years ago
Emma scored 4 points more than twice number of points teagan scored. Emma scored 3 points. How many did teagan score
Snowcat [4.5K]
Let's write T for Teagan's score and E for Emma's score.
Also, let's write an equation

E = 2T + 4
E = 3
2T + 4 = 3
subtract 4 from both sides
2T = -1
divide both sides by 2
T = -1/2

To see of this is correct:
2T + 4 = 3
2(-1/2) + 4 =?= 3
-1 + 4 =?= 3
3 = 3

Hope this helps


8 0
3 years ago
A jar has 6 red marbles and 4 blue marbles. If 2 marbles are chosen, one at a time without replacement, what is the probability
Juliette [100K]

1/3 Probability both are red

red picked first:

6/10

red picked second:

5/9 (9 as first red marble not replaced so 5 red marbles remaining and 4 blue marbles still)

6/10 * 5/10 = 1/3

Hope that helps!!

7 0
3 years ago
-3/5m + 8 = 20<br> what is the answer of m
horrorfan [7]

\qquad\qquad\huge\underline{{\sf Answer}}♨

Let's solve ~

\qquad \sf  \dashrightarrow \:  - \frac{  3}{5} m + 8 = 20

\qquad \sf  \dashrightarrow \:  - \frac{  3}{5} m  = 20 - 8

\qquad \sf  \dashrightarrow \:  - \frac{  3}{5} m  =12

\qquad \sf  \dashrightarrow \:  - \frac{  }{} m  =12 \times  \frac{5}{3}

\qquad \sf  \dashrightarrow \: - m = 4 \times 5

\qquad \sf  \dashrightarrow \:m =  - 20

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

8 0
2 years ago
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