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Leona [35]
2 years ago
7

An up-and-coming artist has 85 followers on Twitter and this number doubles every week. In what week will the artist first reach

1,000 followers? Use at least two different methods to come up with your answer.
Mathematics
1 answer:
Alik [6]2 years ago
3 0

Answer:

5.8 , which approximately is 6 weeks.

Step-by-step explanation:

the first method is the short one since u just have to double the 85 then divide to 1000.

1000 ÷ ( 85 × 2)

1000 ÷ 170 = 5.882,,,,,. round off to whole number to get 6.

the second method is the addition method.

we start by 85 then keep doubling 85 for every week........inshort.......we add 170 to each weeks number to get the number of followers for the following week.

85 ⇒ 170 ⇒ 340 ⇒ 510 ⇒ 680 ⇒ 850 ⇒ 1020.

     1st      2nd      3rd     4th      5th         6th     week.

u notice that we add (85×2), 170, to get the following week's number of followers..

in 5 weeks..... the number of followers is yet to get to 1000.

when u divide, u get 5.8.....,and it is not logic to say 5.8823....weeks

since she reaches 1000 followers in the 6th week.......though there is an addition,,,, it is the most appropriate answer.

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A bug is moving back and forth on a straight path. The velocity of the bug is given by vt=t2-3t. Find the average acceleration o
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Answer:

2 unit/time²

Step-by-step explanation:

Given the equation:

v(t) =t^2-3t

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At t = 4

V(4) = 4^2 - 3(4)

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3 0
2 years ago
The heights of students in a class are normally distributed with mean 55 inches and standard deviation 5 inches. Use the Empiric
maks197457 [2]

Answer:  c)[50,60]

Step-by-step explanation:

The Empirical rule says that , About 68% of the population lies with the one standard deviation from the mean (For normally distribution).

We are given that , The heights of students in a class are normally distributed with mean 55 inches and standard deviation 5 inches.

Then by Empirical rule, about 68% of the heights of students lies between one standard deviation from mean.

i.e. about 68% of the heights of students lies between \text{Mean}\pm\text{Standard deviation}

i.e. about 68% of the heights of students lies between 55\pm5

Here, 55\pm5=(55-5, 55+5)=(50,60)

i.e.  The required interval that contains the middle 68% of the heights. = [50,60]

Hence, the correct answer is c) (50,60)

4 0
2 years ago
Alex purchased a motorbike that costs $3,500. He’ll pay for the motorbike through an installment plan. The installment plan requ
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Answer:

Alex will pay $3,662

Step-by-step explanation:

To find the total cost, we can make an equation modeling y=mx+b, with y being the total cost, m being the monthly charges, x being the amount of time it takes, and b being the 10% down payment.

After plugging in the numbers to the equation, we get y=276(12)+350.

Now all that is left is to solve the equation as follows:

y=3,312+350

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3 0
2 years ago
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A number is chosen at random from the positive, even integers from 2 to 50. Find the probability that the number chosen is divis
VashaNatasha [74]
There are 25 even integers between 2 and 50 (2,4,6,...,50).
Among them, there are 5 numbers divisible by 5 (10,20,30,40,50), 6 divisible by 8 (8,16,24,32,40,48), and 1 divisible by 5 and 8 simultaneously (40).

The last means these two events are not mutually exclusive. So, if

A - the event of choosing a number divisible by 5,
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the probability of choosing a number divisible by 5 or 8 is equal to
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So,
P(A\cup B)=\dfrac{5}{25}+\dfrac{6}{25}-\dfrac{1}{25}\\
P(A\cup B)=\dfrac{10}{25}\\
\boxed{P(A\cup B)=\dfrac{2}{5}}


3 0
2 years ago
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