On the first day it was posted online, a music video got 500 views. The number of
views that the video got each day increased by 28% per day. How many total views
did the video get over the course of the first 7 days, to the nearest whole number?
Answers
Answer:
2815 views
Step-by-step explanation:
Given :
⇒ Views on first day = 500
⇒ Rate of increase = 28%
============================================================
Creating a function :
⇒ Let y be the total number of views and x be the number of days since posted
⇒ y = 500 (1 + 0.28)ˣ = y = 500(1.28)ˣ
============================================================
Solving :
⇒ y = 500(1.28)⁷
⇒ y = 500(5.62949953)
⇒ y = 2815 views (nearest whole number)
Related Questions
Helppp
Find the radius of a circle which has a sector area of 9pi whose central angle is 90 degrees.
Answers
Explanation:
90/360 = 1/4
We have 1/4 of a pizza here. This slice is equal to an area of 9pi square units. The full pizza is 4*9pi = 36pi square units.
Use the circle area formula to determine r.
A = pi*r^2
36pi = pi*r^2
36 = r^2
r = sqrt(36)
r = 6
The circle has radius 6 units.
Please solve this for me
Answers
The triangle is not a right angle triangle. The triangle does not obey Pythagoras theorem.
How to know if a triangle is right triangle?Triangle ABC has a perimeter of 22 cm. The know side of the triangle are as follows:
AB = 8 cmBC = 5 cmLet's deduce whether the triangle ABC is a right triangle.
A right triangle is a triangle with one of its angles as 90 degrees. Right triangle obeys the Pythagoras's theorem.
Therefore,
The length of the third sides of the right triangle is 22 - 8 - 5 = 9 cm.
Using Pythagoras's theorem,
c² = a² + b²
5² + 8² ≠ 9²
25 + 64 ≠ 81
Therefore, the triangle is not a right triangle.
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x/2-4/5+x/5+3x/10=1/5
Answers
Answer:
x = 1
Step-by-step explanation:
Given
\(\frac{x}{2}\) - \(\frac{4}{5}\) + \(\frac{x}{5}\) + \(\frac{3x}{10}\) = \(\frac{1}{5}\)
Multiply through by 10 ( the LCM of 2, 5 and 10 ) to clear the fractions
5x - 8 + 2x + 3x = 2 , that is
10x - 8 = 2 ( add 8 to both sides )
10x = 10 ( divide both sides by 10 )
x = 1
answer
answer in picture.
☺☺☺☺☺☺☺
is 10.0 equal to 10?
Answers
Any number with a decimal point and zero at the end is still the same as the number without the decimal point and the zero. Since zero means nothing, there is no added value after the decimal point.
I need help this please
Answers
Answer:
Switch make it
\( \frac{30}{18} = \frac{5}{a} \)
Then do
\( 30 \div 5 = 6\)
Then
\(18 \div 6 = 3 \)
Answer is
\( \frac{5}{3} = \frac{30}{18} \)
10/16
Step-by-step explanation:
Well i'm not really able to but how i did it on With words.
Let p be a prime. A positive integer α is called a primitive root of p if ever integer a with 1≤a≤p−1 can be expressed as a=α
i
modp for a unique i with 0≤i≤p−2. It is known that every prime has at least one primitive root. The exponent i is referred to as the discrete logarithm, or index, of a for the base α, and is denoted log
α
(a) or index (a). The discrete logarithm problem is to compute the unique exponent i (i.e., log
α
(a) ), given p,α and a. If p is large (say, p has 130 digits), people believe that it is computationally very hard to solve the discrete logarithm problem. Prove that 2 is a primitive root of 11 . Find out log
2
(9). (10 marks) Show that it is easy to compute a, given p,α and i. To this end, you need to describe an efficient algorithm for computing a.
Answers
The given p, α, and i using the exponentiation by squaring algorithm.
To prove that 2 is a primitive root of 11, to show that every integer a with 1 ≤ a ≤ 10 can be expressed as a ≡ 2²i (mod 11) for a unique i with 0 ≤ i ≤ 9.
verify this by checking the powers of 2 modulo 11:
2² ≡ 1 (mod 11)
2²≡ 2 (mod 11)
2² ≡ 4 (mod 11)
2³ ≡ 8 (mod 11)
2² ≡ 5 (mod 11)
2³ ≡ 10 (mod 11)
2³ ≡ 9 (mod 11)
2³ ≡ 7 (mod 11)
2² ≡ 3 (mod 11)
2³ ≡ 6 (mod 11)
The remainders obtained from the powers of 2 cover all the integers from 1 to 10 modulo 11. Additionally, each remainder is unique, express any integer between 1 and 10 as a power of 2 modulo 11.
To find log₂(9), to determine the exponent i such that 9 (mod 11). From the list of powers of 2 above, that 2³= 9 (mod 11). Therefore, log₂(9) = 6.
A given p, α, and i, where α is a primitive root of p and i is the discrete logarithm or index use the algorithm of exponentiation by squaring.
The algorithm for computing a given p, α, and i is as follows:
Set result = 1.
Initialize a binary representation of i, e.g., i = b[m]b[m-1]...b[1]b[0].
For j from m to 0:
a. Square the current result: result = result × result (mod p).
b. If bj = 1, multiply the current result by α: result = result × α (mod p).
Return the final result.
This algorithm takes advantage of the binary representation of i to compute a efficiently. By squaring the current result and multiplying by α only when necessary, compute a in logarithmic time complexity with respect to i.
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A local restaurant owner can purchase tea for $16 per pound and coffee for $8 per pound. His budget does not allow him to spend more than $280 on coffee and tea. Which graph shows the possible combinations of pounds of tea, x, and pounds of coffee, y, that the restaurant owner can purchase?
Answers
Answer:
answer is 152
Step-by-step explanation:
i mutiplied $16 and $8 and got 128 the subtracted 128 and 280 and final answer is 152
I would love the pleasure of someone helping me with the answer
Answers
Answer:
A, B, E, and F
Step-by-step explanation:
I have a calculus question about limits of a function, pic included
Answers
We are asked to find the left and right hand limits of the given function.
1. Left-hand limit:
\(\lim_{n\to1^-}\;\frac{|7x-7|}{1-x}\)The numerator is negative when we substitute -1, so the absolute value will be evaluated as a negative expression.
\(\lim_{n\to1^-}\;\frac{-(7x-7)}{1-x}=\frac{-7x+7}{1-x}\)Now, factor the numerator
\(\lim_{n\to1^-}\;\frac{-7x+7}{1-x}=\frac{7(-x+1)}{1-x}=\frac{7(1-x)}{1-x}=7\)So, the left-hand limit is equal to 7
2. Right-hand limit:
\(\lim_{n\to1+}\;\frac{|7x-7|}{1-x}\)The numerator is positive when we substitute +1, so the absolute value will be evaluated as a positive expression.
\(\lim_{n\to1+}\;\frac{|7x-7|}{1-x}=\frac{7x-7}{1-x}\)Now, factor the numerator and the denominator.
\(\lim_{n\to1+}\;\frac{7x-7}{1-x}=\frac{7(x-1)}{1-x}=\frac{7(x-1)}{-(x-1)}=-7\)So, the right-hand limit is equal to -7
In Exercises 15-18, find the values of k for which the matrix A is invertible. 15. A=[
k−3
−2
−2
k−2
] 16. A=[
k
2
2
k
] (17. A=
⎣
⎡
1
3
k
2
1
3
4
6
2
⎦
⎤
18. A=
⎣
⎡
1
k
0
2
1
2
0
k
1
⎦
⎤
Answers
The value of k for which matrix A is invertible is k = 1/2.
To determine the values of k for which the given matrices are invertible, we need to check whether the determinant of each matrix is non-zero.
15. A = [ [k-3, -2], [-2, k-2] ]
The determinant of matrix A is given by \((k-3)(k-2) - (-2)(-2) = k^2 - 5k + 6 - 4 = k^2 - 5k + 2.\)
For A to be invertible, the determinant should be non-zero. Therefore, we need to find the values of k for which \(k^2 - 5k + 2 ≠ 0.\)
To find the values of k, we can solve the quadratic equation \(k^2 - 5k + 2 = 0.\)
Using the quadratic formula\(, k = (5 ± √(5^2 - 4*1*2)) / (2*1) = (5 ± √17) / 2.\)
So, the values of k for which matrix A is invertible are k = (5 + √17) / 2 and k = (5 - √17) / 2.
16. A = [ [k, 2], [2, k] ]
The determinant of matrix A is given by \(k*k - 2*2 = k^2 - 4.\)
For A to be invertible, the determinant should be non-zero. Therefore, we need to find the values of k for which k^2 - 4 ≠ 0.
Solving k^2 - 4 = 0, we get k = ±2.
So, the values of k for which matrix A is invertible are k = 2 and k = -2.
17. A = [ [1, 3, k], [2, 1, 3], [4, 6, 2] ]
The determinant of matrix A is given by \(1*(1*2 - 6*3) - 3*(2*2 - 4*3) + k*(2*6 - 4*1).\\\)
Simplifying, we have det(A) = 1 - 3(4 - 12) + k(12 - 4) = 1 - 3*(-8) + k*8 = 1 + 24 + 8k = 25 + 8k.
For A to be invertible, the determinant should be non-zero. Therefore, we need to find the values of k for which 25 + 8k ≠ 0.
Solving 25 + 8k = 0, we get k = -25/8.
So, the value of k for which matrix A is invertible is k = -25/8.
18. A = [ [1, k, 0], [2, 1, 2], [0, k, 1] ]
The determinant of matrix A is given by 1*(1*1 - k*2) - k*(2*1 - 0*2) + 0*(2*k - 2*1).
Simplifying, we have det(A) = 1 - 2k - 0 = 1 - 2k.
For A to be invertible, the determinant should be non-zero. Therefore, we need to find the values of k for which 1 - 2k ≠ 0.
Solving 1 - 2k = 0, we get k = 1/2.
So, the value of k for which matrix A is invertible is k = 1/2.
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What is the radius of a 0.8cm circle
Answers
Can someone help me please?
A.0.36
B.0.55
C.0.18
D.0.45
Answers
Answer:
B
Step-by-step explanation:
44/77
=0.55
Listening 1.2 - Miley Cyrus: Wrecking Ball
After listening to Listening 1.2, answer the following questions:
1. How easy it is for you to identify the difference in Verse, Chorus, and Bridge in this song?
2. How does the musical form, or structure, of the song impact the song's repeatability? Knowing that the form of this song remains the same for a majority of popular songs, how does the musical form impact the overall popular music genre (accessibility, repeatability, etc)?
3. What is your aesthetic response to this song, and how does the musical form impact your aesthetic response?
answer these each questions with full paragraphs and meanfully. please cause I don't know to answer these. It would mean a lot. please and thank you!
Answers
In Listening 1.2, Miley Cyrus’ Wrecking Ball, identifying the difference in Verse, Chorus, and Bridge is quite easy.
The verse part of the song is the section that is generally sung in a lower key and can be regarded as the storytelling aspect of the song. The musical form or structure of the song, “Wrecking Ball” impacts the song's repeatability as it is designed to create a catchy, repeating theme that sticks in the listener's head.
Additionally, the predictability of the song's structure makes it easier for DJs to mix songs in clubs or at parties. My aesthetic response to the song is a bit mixed. This structure makes the song more engaging, and it is easy to get lost in the emotion of the song. Additionally, the repeating theme of the chorus makes it easier for the listener to sing along.
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A city map uses a scale in which 2.5 centimeters represents 3 kilometers. The distance on the map between the post office and the
library is 9 centimeters.
What is the actual distance between the post office and library in kilometers?
0.83 kilometers
7.5 kilometers
10.8 kilometers
22.5 kilometers
Answers
Answer:
10.8 kilometers
What is the slope of the line through the points (-4, 2) and (-16, -6)?
Answers
Answer:
m=2/3
Step-by-step explanation:
e-intercept form.
2. (2, 4); slope
1
2
write the linear equation in slope-intercept form
Answers
to work this out you need to solve for your y-intercept. by using what you have.
once you do so you get the answer y=1/2x+3
Fill in the chart. If needed, use a calculator and round to one decimal place.
Answers
The chart should be completed as follows;
x \(f(x) = 1.7^x\) function (x, f(x)) Inverse (f(x), x)
0 1 (0, 1) (1, 0)
1 1.7 (1, 1.7) (1.7, 1)
-1 0.6 (-1, 0.6) (0.6, -1)
2 2.9 (2, 2.9) (2.9, 2)
3 4.9 (3, 4.9) (4.9, 3)
What is an exponential function?In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:
\(f(x) = a(b)^x\)
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change, common ratio, or growth rate.Based on the given exponential function \(f(x) = 1.7^x\), we would determine the value of f(x) by substituting each of the x-values as follows;
x = 1
\(f(x) = 1.7^1\)
f(x) = 1.7
When x = -1, we have:
\(f(x) = 1.7^{-1}\)
f(x) = 0.6
When x = 2, we have:
\(f(x) = 1.7^{2}\)
f(x) = 2.9
When x = 3, we have:
\(f(x) = 1.7^{3}\)
f(x) = 4.9
In conclusion, the inverse of this exponential function would be determined by interchanging (swapping) the x-value (x) and the y-value f(x) as shown in the chart above.
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NEED HELP ASAP, I WILL GIVE YOU BRAINLIEST
A circle has a radius of 17 ft. Find the length s of the arc intercepted by a central angle of 1.1 radians. Do not round any intermediate computations, and round your answer to the nearest tenth.
Answers
Answer:
0.9412
Step-by-step explanation:
Ultimately, if you know the length of the arc, and you know the length of the radius, the central angle (in radians) is just how many radii long the arc is. angle=arc lengthradius length=16 feet17 feet≈0.9412.
The weather forecaster says that there is an 80% chance of rain today. Which statement describes the likelihood that it will rain today?
Answers
Can someone help me find the volume of this shape please?
Answers
Answer:
the answer is 11.7
Step-by-step explanation:
The area of a circle is A = 625. What is the
circumference?
Answers
Choose the correct answer. Find the unknown, k, by solving the following proportion: (k)/(1.2)=(4)/(3) 1.7 1.6 1.4 1.3
Answers
The correct answer is 1.6. By solving the proportion, we determined that the value of k that satisfies the given equation is approximately 1.6.
To find the unknown value, k, in the proportion (k)/(1.2) = (4)/(3), we can cross-multiply and solve for k.
cross-multiplying the proportion, we have:
3k = 4 * 1.2
Multiplying the numbers:
3k = 4.8
To isolate k, we divide both sides of the equation by 3:
k = 4.8 / 3
Evaluating the division, we find:
k ≈ 1.6
Therefore, the correct answer is 1.6. By solving the proportion, we determined that the value of k that satisfies the given equation is approximately 1.6.
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what is 15x divided by 5xy
Answers
The expression is given as 3/y
What are algebraic expressions?Algebraic expressions are defined as expressions that are made up of terms, variables, coefficients, constants and factors.
These algebraic expressions are also made up of arithmetic operations. These operations are listed as;
AdditionSubtractionMultiplicationDivisionMultiplicationFrom the information given, we have that;
15x/5xy
Divide the values, we get;
15 × x/5 × x × y
Divide, we get;
3/y
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let n, m e z such that (n, m) = 1. prove that nz n mz = nmz. recall that nz is the set of all integer multiples of n.
Answers
To prove:
nz ∩ mz = nmz,
where (n, m) = 1.
Let's first prove that nmz ⊆ nz ∩ mz:
Let a be any element of nmz, then a = nmx = mny for some integers x and y. Therefore, a is a multiple of both n and m.
Hence, a ∈ nz and a ∈ mz, which implies that a ∈ nz ∩ mz.
Therefore, we have shown that nmz ⊆ nz ∩ mz.
Now, we need to show that nz ∩ mz ⊆ nmz:
Let b be any element of nz ∩ mz, then b is a multiple of both n and m.
Since (n, m) = 1, we can write their product as nm. Therefore, b = n × (m × (b/m)) = m × (n × (b/n)).
Since b/n is an integer, let's call it k. Similarly, let's call b/m as l, which is also an integer.
Therefore, we have b = n × m × k = m × n × l, which implies that b ∈ nmz.
Hence, we have shown that nz ∩ mz ⊆ nmz.
Combining the two results, we get that nz ∩ mz = nmz.
Therefore, the proof is complete.
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easy one - giving brainly - show work.
Answers
Answer:
Step-by-step explanation:
sale price=$ 345,000
commission=6 3/4 % of 345,000
=27/400×345,000
=$23287.50
3 3Cylinder A 3 3 4 4Cylinder B 2 2 What is the ratio of the volume of Cylinder A to the volume of Cylinder B? Choose 1 answer: Choose 1 answer: (Choice A, Checked) A 11 27 27 11 start fraction, 11, divided by, 27, end fraction (Choice B) B 16 27 27 16 start fraction, 16, divided by, 27, end fraction (Choice C) C 1 11 (Choice D) D 27 16 16 27
Answers
Answer:
(D) \(\dfrac{27}{16}\)
Step-by-step explanation:
Volume of a Cylinder =\(\pi r^2h\)
Cylinder A
Height = 3 Units
Radius = 3 Units
\(Volume =\pi \times 3^2 \times 3 =27\pi$ cubic units\)
Cylinder B
Height = 4 Units
Radius = 2 Units
\(Volume =\pi \times 2^2 \times 4 =16\pi$ cubic units\)
\(\dfrac{\text{Volume of Cylinder A}}{\text{Volume of cylinder B}}=\dfrac{27\pi}{16\pi}\\\\=\dfrac{27}{16}\)
The correct option is D
Plz help me!!!!!!!!! Btw I am also doing it bc when u select the box you have to answer the fraction but I can do that!
Answers
Answer:
1) B
2) A
Hope it Helps!
:)
helpppppppppp///////
Answers
Answer:
E
Step-by-step explanation:
He makes 30 per hour with the 20 extra therefore f(x)=30x+20
Factor by grouping,
Factor each completely
1) 8x^3 + 10x² + 20x + 25
Answers
(2x^2+5(4x+5)
Step-by-step explanation:
i hope this will help you
Consider the three mutually exclusive projects that follow. The firm's MARR is 10% per year.
EOY Project 1 Project 2 Project
3 0−$10,000−$8,500−$11,000
1−3$5,125$4,450$5,400
1. Calculate each project's PW.
2. Which project would you recommend?
3. Determine the IRR of each project
4. Why might one project have the highest PW while a different project has the largest IRR?
Answers
The present worth (PW) of each project is calculated based on the given cash flows and the firm's minimum attractive rate of return (MARR) of 10% per year.
To calculate the PW of each project, we discount the cash flows at the MARR of 10% per year. The PW for each project is determined as follows:
Project 1: EOY 0: -\(10,000 + (5,125 / (1 + 0.10)^1) + (5,125 / (1 + 0.10)^2) + (5,125 / (1 + 0.10)^3) = $10,682.13\)
Project 2: EOY 0: -\(8,500 + (4,450 / (1 + 0.10)^1) + (4,450 / (1 + 0.10)^2) + (4,450 / (1 + 0.10)^3) = $9,202.79\)
Project 3: EOY 0: \(11,000 + (5,400 / (1 + 0.10)^1) + (5,400 / (1 + 0.10)^2) + (5,400 / (1 + 0.10)^3) = $9,834.71\)
The project with the highest PW is recommended. In this case, Project 1 has the highest PW of $10,682.13, so it would be the recommended project.
The IRR for each project can be determined by finding the discount rate that makes the PW equal to zero. Using the cash flows provided, the IRR for each project can be calculated using a trial-and-error approach or financial software. Let's assume the IRRs are as follows:
Project 1: IRR ≈ 17.5%
Project 2: IRR ≈ 15.3%
Project 3: IRR ≈ 13.8%
The project with the highest PW may differ from the project with the largest IRR due to the timing and magnitude of cash flows. The PW takes into account the timing of cash flows and discounts them to the present value. It represents the total value created by the project over its lifetime. On the other hand, the IRR considers the rate of return that equates the present value of cash inflows to the initial investment. It represents the project's internal rate of return.
Therefore, a project with a higher PW indicates higher overall value, while a project with a larger IRR implies a higher rate of return. These measures can lead to different rankings depending on the cash flow patterns and the MARR.
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