On the first day it was posted online, a music video got 250 views. The number of views that the video got each day increased by 16% per day. How many total views did the video get over the course of the first 12 days, to the nearest whole number?

Answers

Answer 1

Using an exponential function, it is found that the video got 8,314 total views over the course of the first 12 days.

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the growtn rate, as a decimal.

On the first day it was posted online, a music video got 250 views, and the number increased by 16% a day, hence the A(0) = 250, r = 0.16, and the equation is given by:

[tex]A(t) = 250(1.16)^t[/tex]

The total amount over the first 12 days is given by:

[tex]T = \int_{0}^{12} A(t) dt[/tex]

[tex]T = \int_{0}^{12} 250(1.16)^t dt[/tex]

[tex]T = 250\frac{(1.16)^t}{\ln{1.16}}|_{t = 0}^{t = 12}[/tex]

Applying the Fundamental Theorem of Calculus:

[tex]T = 250\frac{(1.16)^{12}}{\ln{1.16}} - 250\frac{(1.16)^0}{\ln{1.16}}[/tex]

T = 8314.

The video got 8,314 total views over the course of the first 12 days.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ2


Related Questions

Please help me with this homework

Answers

Answer:

Brainliest please

x is equals to 4 and y is equal to 1

Step-by-step explanation:

3x+3y=9

x-3y=7

elimination method has to do with eliminating one variable from the question to eliminate y we have to add the equations together which is 4x=16

X=4

substitute x is equal to 4 into any equation of your choice let's use equation 1

E

3(4)+3y=9

12+3y=9

12-9=3y

3=3y

divide both sides by 3 therefore y is equal to 1.

There are six songs on your playlist. With
random shuffle and no repetition, you
listen to two songs. What is the
probability that you listened to your
favorite song first and your least favorite
song second?

Answers

Answer:

1 in 36

Step-by-step explanation:

6 * 6

Answer:

1/36

Step-by-step explanation:

this is it

Suppose you have a mean = 12 and a standard deviation = 3. What is the probability that a data member, x, is above 18?

Answers

Answer:

I dont knowsorry

Please help due in 15 min!!!!

Answers

Answer: True

Step-by-step explanation:

2 with the exponent of 1/2 is 1.41. SQRT for 2 is also the same.

2 with the exponent of -1 is 0.5. Fraction of 1/2 is the same.

true !!!!!!!!!!! wish u the best


The loading ramp for a truck makes a 30° angle to the ground. The back of the truck is 4' above the ground.
How long is the loading ramp (L)?
A. 4’
B. 4_/2’
C. 4_/3’
D. 7 1/2’
E. 8’

Answers

correct answer is d i think so

HELP HELP HELP FIRST RIGHT ANSWER GETS BRAINLIEST​

Answers

Answer:

No solutions

Step-by-step explanation:

What is the equation of the following line? Be sure to scroll down first to see
all answer options

Answers

The equation of this line is C; it is y=-4x due to the fact that the rise over run is 8/-2. It is -2 as you are shifting to the left to get to (0,0). It is divisible into an equal number which is -4.

Answer:

y= -4x

Step-by-step explanation:

Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of
$47.65. Let m represent the number of magazines and b represent the number of books, Which equation models the
situation?
m+ 47.95
O
m 60.55
3.95m +8,955-47.65
3.95m +3.95b = 47.65

Answers

Answer:

$3.95m + $8.95b = 47.65

Step-by-step explanation:

I think I don't it right but if not sorry

pls help me i dont know the awnser

Answers

Answer:

13/12

Step-by-step explanation:

make into inproper fraction then cross multiply then reduce to lowest terms. hope this helps

Answer:

Length of each stump is 2.167 feet

Step-by-step explanation:

8 2/3 divided by 4 is 2.166667

2.166667 simplified is 2.167

An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.

Which best describes the range of possible values for the third side of the triangle

Answers

Answer 12.5 < x 18.9

In a rectangle, the length is 5 more than three times the width. The perimeter is 250cm. Determine the length of each side.

Answers

Answer:

l = 95 cm

w = 30 cm

Step-by-step explanation:

w = width

5+3w = length

P = 2l + 2w

250 = 2(5+3w) + 2w

250 = 10 + 6w + 2w

240 = 8w

w = 30

5 + 3(30) = length

l = 95

3. In the first month, Miranda worked 33.5 hours. Of the total amount she needs to save for the computer, what percent did she save in the first month? Describe two different ways to find the answer .​

Answers

okay so in the first month miranda worked 33.5 hours. That means that the answer is 60

Can you help me on unmber 2 or 3 Plzz show work

Answers

Step-by-step explanation:

In,

Question 2 I have already answered,

Q. 3)

Given Question:

[tex] \frac{ {c}^{2} }{d} [/tex]

Given values:-

c = 6 , d = 3

By putting the values in the question,

[tex] \frac{ {6}^{2} }{3} [/tex]

[tex] = \frac{36}{3} [/tex]

= 12 (Ans)

Rocco has a garden and an oak tree. The oak tree is 11 times as old as the garden. The sum of their ages is 108 years. How old is each the garden and tree?

Answers

Answer:

Step-by-step explanation: 19

What is the maximum height of of Anna's golf ball? The equation is y=x−0.04x2.

Answers

Given:

The height of a golf ball is represented by the equation:

[tex]y=x-0.04x^2[/tex]

To find:

The maximum height of of Anna's golf ball.

Solution:

We have,

[tex]y=x-0.04x^2[/tex]

Differentiate with respect to x.

[tex]y'=1-0.04(2x)[/tex]

[tex]y'=1-0.08x[/tex]

For critical values, [tex]y'=0[/tex].

[tex]1-0.08x=0[/tex]

[tex]-0.08x=-1[/tex]

[tex]x=\dfrac{-1}{-0.08}[/tex]

[tex]x=12.5[/tex]

Differentiate y' with respect to x.

[tex]y''=(0)-0.08(1)[/tex]

[tex]y''=-0.08[/tex]

Since double derivative is negative, the function is maximum at  [tex]x=12.5[/tex].

Substitute [tex]x=12.5[/tex] in the given equation to get the maximum height.

[tex]y=(12.5)-0.04(12.5)^2[/tex]

[tex]y=12.5-0.04(156.25)[/tex]

[tex]y=12.5-6.25[/tex]

[tex]y=6.25[/tex]

Therefore, the maximum height of of Anna's golf ball is 6.25 units.

use the matrix tool to solve the system of equations enter the answer as an ordered pair. 8x+5y=9 -x+y=7

Answers

Answer:

x = -44/13

y = -65/13

Step-by-step explanation:

Using matrix form means using the crammers rule

The matrix form of the expression is written as;

[tex]\left[\begin{array}{ccc}8&5\\-1&1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}9\\7\\\end{array}\right][/tex]

AX = B

taking the determinant of A;

|A| = 8(1) - 5(-1)

|A| = 8 + 5

|A| = 13

After replacing the first row with the column matrix;

[tex]A_x =\left[\begin{array}{ccc}9&5\\7&-1\\\end{array}\right][/tex]

|Ax| = 9(-1)-5(7)

||Ax| = -9 - 35

|Ax| = -44

x = |Ax|/|A|

x = -44/13

similarly for y

[tex]A_x =\left[\begin{array}{ccc}8&9\\-1&7\\\end{array}\right][/tex]

|Ay| = 8(7)+9

|Ay| = 56+9

|Ay| = 65

y = |Ay|/|A|

y = -65/13

The mean weight of nine players on a baseball team is 71 pounds. The weights of the nine baseball players are: { 64, 75, 68, 72, 80, 76, 68, 74, n }. The equation below can be used to find the weight of the ninth player. Which of the values listed { 71, 73, 62, 82, 64 } can be the weight of the ninth baseball player? Explain how you found your answer.

Answers

Answer:

Step-by-step explanation

The mean is equal to the total weight of the players/the number of players

So, 64, 75, 68, 72, 80, 76, 68, 74, n/ 9=71

Once you add the values in the numerator, you would get 577+n/9=71

n= 71 * 9=639

639-577=62

So, the weight of the 9th player would be 62 pounds.

which of the following is most likely to be the number of times a 1 is rolled out of 500 rolls
80
200
30

Answers

500/6 = 83.33, so 80

Need help with school

Answers

Answer:

x=9

Step-by-step explanation:

Answer:

Dont we all

Step by step Explanation

You earn $30K at your job, and put 20% aside each month into a retirement fund. Your
company is super cool and matches your contributions. For every dollar you put into
your IRA, your employer also puts in a dollar.
How much will you have contributed to your retirement account by the end of the year?

Answers

Answer:

$12,000

Step-by-step explanation:

20% as a decimal is 0.20

30,000 x 0.20 = 6,000

If the employer matches that, the amount deposited is double.

6,000 x 2 = 12,000

That is probably the answer they want. Technically the question asks way *you* will have contributed, which is $6,000, but I don’t think they’re trying to make this a trick question. I would go with 12k

All rhombuses have 4 right angles

Answers

Answer:

no they do not :) :) :)

Which equation models the values in the table?

Answers

Answer:

answer C is correct ..

................

write in sigma notation 3+10+17+24+31

Answers

Answer:

Now let n=i, and write, ui=7i-4. Hence, 3+10+17+24+31+38=∑6i=1 (7i-4).

Answer:

Now let n-i, and write, ui-7i-4. Hence, 3+10+17+24+31+38=26i-1 (7i-4).

Name the relationship: altérnate interior, corresponding, or altérnate exterior.


Which is the Answers?

A. Altérnate interior
B. Complementary
C. Altérnate exterior
D. Corresponding

Can you help me, I would appreciate it very much:)

Answers

Answer:

A. Alternate Interior

Step-by-step explanation:

A. Alternate interior

Step-by-step explanation:

Angles a and b are alternate interior angles,

Alternate interior angles are equal.

Also,

a = b

If a town with a population of 2000 doubles in size every 89 years what will the population be 267 years from now

Answers

Answer:

8,000 or 8·10³

Step by Step:

2000+2000=4000

4000+4000=8000

8000 or 8·10³

Answer:

16000

Step-by-step explanation:

This is essentially is asking 'What is 2000 * 2 * 2 * 2?'.

May I have Brainliest?

Hope that this helps!

Find the measure of the label angles below note: you must find y first

13
124
6.8
68.2

Answers

Answer:

124°

Step-by-step explanation:

since they are vertical angles, then put them equal to eachother

9y + 7 = 2y + 98

7y = 91

y = 13

9(7)+7= 124

2(13)+98= 124

solve: 2x+3y=12 6x-y=4

Answers

Answer: x= 6/5 ; y= 16/5

Answer:

this is what I got. I'm not sure if it's right



What is 3y+5x=-15 written in slope-intercept form? O y=şX+5 5 O y=-3X-5 -x O y-x-5 5 O y=-ŽX+5​

Answers

Answer:

y = -5/3x - 5

Step-by-step explanation:

3y + 5x= -15

3y = -5x - 15

y = -5/3x - 5

Find the indicated side of the
triangle.
17
45°
a = [?][ ]

Answers

Answer:

look at the picture i have sent

and thank you for your points

Will give brainliest and 5 stars if correct. How does Shakespeare manipulate language?

Answers

Answer:

Shakespeare uses the language of the characters to achieve this multifaceted quality. Through the use of language (specifically Iago, Othello, and Desdemona), Shakespeare propels the plot, engages the audience, creates dramatic irony, and reveals the characters’ psyches.

Answer:

Shakespeare's writings greatly influenced the entire English language. He expanded the scope of English literature by introducing new words and phrases, experimenting with blank verse, and also introducing new poetic and grammatical structures.

hope this helps

have a good day :)

Step-by-step explanation:

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