An author published a book which was being sold online. The first month the author sold 14400 books, but the sales were declining steadily at 5% each month. If this trend continues, how many total books would the author have sold over the first 23 months, to the nearest whole number?

Answers

Answer 1

Answer:

The author sold a total of 30240 books following this trend.

Step-by-step explanation:

Let's find 5% of 14400 first;

14400 * 5%

14400 * 5/100

144 * 5

720 (So now we know that they are decreasing by 720 each month; therefore thats the constant)

=> aₙ = a₁ + r(n - 1)

=> a₂₃ = 14400 + 720(23 - 1)

=> a₂₃ = 14400 + 720(22)

=> a₂₃ = 14400 + 15840

=> a₂₃ = 30240

Hope this helps!

Answer 2

The author sold a total of 30240 books following this trend.

Let's find 5% of 14400 first;

[tex]14400 * 5\%\\14400 * 5/100\\144 * 5=720[/tex]

What is an arithmetic progression?

A, is a type of numerical sequence studied by Mathematics, where each term or element counting from the second is equal to the sum of the previous term with a constant.

So using the arithmetic progression we have:

[tex]a_n = a_1 + r(n - 1)\\a_{23} = 14400 + 720(23 - 1)\\ a_{23} = 14400 + 720(22)\\ a_{23} = 14400 + 15840\\a_{23} = 30240[/tex]

See more about arithmetic progression at brainly.com/question/20385181


Related Questions

Trong đợt xảy ra một loại dịch bênh X ,người ta điều tra ngẫu nhiên 1600 nhười dân ở một vùng thấy có 160 người đã được tiêm vaccine đủ liều và đúng lịch

Answers

Answer:

Probability of an event = 1 / 10

Step-by-step explanation:

Given:

Total number of people in particular area = 1,600

Number of people vaccinated = 160

Find:

Probability[people vaccinated]

Computation;

Probability of an event = Number of favorable outcomes / Total number of outcome

Probability of an event = 160 / 1600

Probability of an event = 16 / 160

Probability of an event = 1 / 10

A geometric sequence starts with 12,.
...,27,..., 60.75,...
where 12 is the first term, 27 is the third term and 60.75 the fifth term.
Work out the common ratio of the sequence.

What’s the answer?

Answers

Answer:

b

Step-by-step explanation:

it's right cause I took the quix

Haley is camping and needs to go from the campground to the waterfall. She hikes 3 miles north and 7 miles east. What is the shortest distance from the campground to the waterfall?

Answers

Answer:

7.61 miles

Step-by-step explanation:

Given that,

Haley hikes 3 miles north and 7 miles east.

We need to find the shortest distance from the campground to the waterfall. Let the distance is D.

It can be calculated as follows :

[tex]D=\sqrt{3^2+7^2}\\D=7.61\ miles[/tex]

So, the shortest distance from the campground to the waterfall is 7.61 miles.

please help thank you

Answers


I don’t know it is really hard to learn

Answer:

50  ft²

Step-by-step explanation:

ΔABC ≅ ADC; therefore the area of ΔADC is 25 sq feet also

2(25) = 50 sq feet

PLEASE HELP!!
ILL GIVE MORE POINTS TO THE FASTEST ANSWER

Answers

It’s really easy do not make it complicated on yourself!

Fist thing you should know ANY NUMBER WHICH IS TO POWER ZERO THE ANSWER WILL ALWAYS BE ONE!!

Part A : (7^2)^x is (49)^x

(49)^x = 1 , here is basically asking you what’s the value of X to know which number to the power of 49 to put so that it equals to 1, obviously the answer is 0 as we said before ANY NUMBER TO THE POWER OF 0 , the answer will be 1

Part A = 0
————————-

Part B IS GONNA BE WAY EASIER NOW TRUST ME!!

(7^0) = 1

(1)^x = 1

So now is asking what number to put for x for you to multiply by one to get one it’s obviously 1, because 1 x 1= 1

Part B = 1
————-
I hope you understand my explanation so good luck and best of wishes!!

cuanto me da como resultado

Answers

Step-by-step explanation:

1) [tex](-4)^2{\cdot}(-4)[/tex]

We know that, [tex]a^x{\cdot}a^y=a^{x+y}[/tex]

[tex](-4)^2{\cdot}(-4)=(-4)^{2+1}\\\\=(-4)^3\\\\=64[/tex]

2) [tex](-2)^5{\cdot} (-2)^3[/tex]

Again using above property,

[tex](-2)^5{\cdot} (-2)^3=(-2)^8\\\\=256[/tex]

3) [tex]5^{-3}[/tex]

We know that,

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

So,

[tex]5^{-3}=\dfrac{1}{5^3}\\\\=\dfrac{1}{125}[/tex]

4) [tex]2.5^2=2.5\times 2.5\\\\=6.25[/tex]

Hence, this is the required solution.

What are the dimensions of the rectangle shown on the coordinate plane?

Answers

The base is 5 units and the height is 4 units.

Hope this helps! :)

express the following number in words; 3468729165​

Answers

Answer:

three trillion four hundred and sixty eight million, seven hundred and twenty nine thousand and one hundred sixty five

Step-by-step explanation:

The directrix of the parabola -40x= y2 is:
y=-10
x= 10
x=-10
y= 10

Answers

Answer:

y=10

Step-by-step explanation:

Answer:

[tex]{ \tt{y {}^{2} = 4 {ax} }} \\ = - 10[/tex]

PLEASE HELPPPPPP FINDING CIRCUMFERENCE AND AREA OF A CIRCLE

Answers

Answer:

The circumference of the circle is 28.26 m.

The area of the circle is 63.585 [tex]m^{2}[/tex].

Step-by-step explanation:

To solve for the circumference of the circle, start by using the circumference formula of a circle, which is [tex]C= 2\pi r[/tex]. However, 3.14 will be used instead of [tex](\pi)[/tex] for this formula.

First, the radius of the circle needs to be found. To find the radius of the circle, divide the diameter by 2 because the radius equals half of the diameter. The radius is 9 m divided by 2, which equals 4.5 m.

Next, plug in the radius into the formula, and the formula will look like [tex]C=(2)(\pi )(4.5 m)[/tex]. Then, solve the equation, and the answer will be 28.26 m.

To solve for the area of the circle, start by using the area formula of a circle, which is [tex]A=\pi r^{2}[/tex]. However, 3.14 will be used instead of [tex](\pi)[/tex] for this formula.

For the area, plug the radius into the formula, and the formula will look like [tex]A= (3.14)(4.5m)^{2}[/tex]. Then, solve the equation, and the answer will be 63.585 [tex]m^{2}[/tex].

What are the zeros of the polynomial function y = (x - 3)(2x + 1)(x - 1)? A. 1/2, 1, 3 B. -1, 1, 3 C. -1/2, 1, 3 D. -3, 1/2, -1

Answers

Answer:

x=3  x = -1/2  x=1

Step-by-step explanation:

y = (x - 3)(2x + 1)(x - 1)

Set the function equal to zero

0 = (x - 3)(2x + 1)(x - 1)

Using the zero product property

x-3 =0   2x+1 =0  x-1 =0

x=3   2x = -1  x=1

x=3  x = -1/2  x=1

Can U pls Help Me pls​

Answers

Answer:

angle x= 60

so it is in the ratio 1:2:√3

√3x=3

ie.x=√3/3

adjacent side=x=√3/4

Step-by-step explanation:

everything can be found in the picture

Test question........................

Answers

You Have Passed Thy Test!!! BADAAAA (\•o•/)

You forgot to attach the question to your test

Find the value of F

Answers

Answer:

f = 13[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given that f and e are congruent then e = f

Using Pythagoras' identity in the right triangle

f² + e² = 26² , that is

f² + f² = 676

2f² = 676 ( divide both sides by 2 )

f² = 338 ( take the square root of both sides )

f = [tex]\sqrt{338}[/tex] = [tex]\sqrt{169(2)}[/tex] = 13[tex]\sqrt{2}[/tex] ≈ 18.4 ( to 1 dec. place )

Answer:

f = 25.85751233

Step-by-step explanation:

f^2+E^2=26^2

HELP PLSSSSSSSZzzzzzzzzzzzz

Answers

Answer:

w equal to 9z

or z equals to w/9

Simplify\left(2-\sqrt{3}\right)^2

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { C) \:7 + 4 \sqrt{3}}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] {( - 2 - \sqrt{3} )}^{2} [/tex]

[tex] = ({ - 2})^{2} - 2.( - 2). \sqrt{3} + { (\sqrt{3}) }^{2} [/tex]

[tex] = 4 + 4 \sqrt{3} + 3[/tex]

[tex] = 7 + 4 \sqrt{3} [/tex]

Note:

[tex] ({a - b})^{2} = {a}^{2} - 2ab + {b}^{2} [/tex]

[tex] \sqrt{a} \times \sqrt{a} = a[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

an architects cWhat is the domain of this relation?

(12, 5)
(20, 0)
(20, 20)
(–13, 0)

Answers

Answer:

Domain { -13,12,20 }

Step-by-step explanation:

The domain is the input values

Domain { -13,12,20 }

We list them in order from smallest to largest and do not list repeats

Please answer it all this is very important

Answers

Answer:

6.)

The answer is 63 inches because this value is closer to the mean and while the data is positively skewed (as in the mean is greater than the median) it's not by that much.

7.)

This would mean that the data is symmetric. By this, I mean that there would have to be an equal amount of data on either side of the mean. For example, for every entry 2 units below from the mean there must be one 2 units above the mean and so on. There would also have to be many entries on the mean/median (so that it would also be the mode)

8.)

We can observe that there are no real outliers that would heavily influence the data and so we can just take the mean

the mean of student A is: (68+72+73+67)/4= 70

The mean of student B is: (74+73+73+74)/4=73.5

We can see that student A, on average, is closer to 70 than student B and can therefore conclude that student A is more percise

find distance between (0,6) and (8,0)​
with process.......

Answers

Answer:

answer to the question is 10 units..

Answer:

10 units

Step-by-step explanation:

(0 , 6) = (x1 , y1)

(8 , 0) = (x2 , y2)

distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

=[tex]\sqrt{(8 - 0)^2 + (0 - 6)^2}[/tex]

=[tex]\sqrt{8^2 + (-6)^2}[/tex]

=[tex]\sqrt{64 + 36}[/tex]

=[tex]\sqrt{100}[/tex]

=10 units

The graph represents the piecewise function:


100 POINTS !!!

Answers

Sorry I never did that before.

If the graph of y=x squared +6x-12 is symmetrical about x=K, what is the value of K?

Answers

21 (don’t believe me)

The triangle is isosceles find the length h of side x in simplest radical form with a rational denominator

Answers

Answer:

x = √3

Step-by-step explanation:

Find the diagram attached

Given

Opposite = √3

Adjacent = x

Acute angle theta = 45degrees

According to SOH CAH TOA;

tan theta = opp/adj

tan 45 = √3/x

x = √3/tan45

x = 1

x = √3

Hence the value of x in its simplest radical form is √3

Les is measuring the border of her bulletin board. She measures around the entire outside of the bulletin board and finds the distance is 32 units.
Which measurement does 322 units represent?

Answers

Perimeter of the board

I need help with this problem pls help!

Answers

Answer : y = x/7 - 2

Write 240000 in standard form

Answers

Answer:

240,000

Step-by-step explanation:

standard form means the way you would write it

How will you calculate it's surface area?​

Answers

The general formula for the total surface area of a right prism is T. S. A. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.

I don’t know what to do?

Answers

Answer:

I geuss because the scale factor is 2 that the resulting triangle will be almost twice the size. Because in a dilation you multiply it. If you dont know how to dilate a triangle with a compass I would suggest looking for a video online. But I know for the part that says "Is the image of ABC similar to the original triangle" the answer would be yes it is similar because you are just dilating the triangle not changing its orientation. I hope this helps! Good luck!

Victor wanted to know the height of a tree at his friend’s house. On Saturday morning, he measured the shadow of the tree along the ground to be 24 feet long. At the same time, he measured his own shadow to be 3 feet long. Victor is 6 feet tall. Find the height of the tree

Answers

The shadow of the tree is 12ft long. Divide the height of the tree (24) by Victors height (6), which will equal 4. Then multiple 4 and the height of victors shadow. (this is my first time doing this, hope it helped:)

Ratio remains same

Let that be x

[tex]\\ \rm\rightarrowtail \dfrac{6}{3}=\dfrac{x}{24}[/tex]

[tex]\\ \rm\rightarrowtail 2=x/24[/tex]

[tex]\\ \rm\rightarrowtail x=48[/tex]

Write an equation for the graph below using its zeros.

Answers

Answer:

Step-by-step explanation:

It's a cubic.

It has 1 root that cuts the x axis at x = -4

It has 2 roots that are the same. The reason you know this is because the curve touches the x axis, but does not go through the x axis, at 3.

y = (x + 4) (x - 3)(x - 3)

Notice the sign change. x has to have sign change when going from a root to a binomial

The root is - 4. The binomial is (x + 4)

The same argument works for x = 3

if 5x-26=x+50, then what is the value of x

Answers

Answer:

x = 19

Step-by-step explanation:

5x - 26 = x + 50

Subtract x on both sides of the equation.

4x - 26 = 50

Add 26 on both sides.

4x = 76

Now, divide by 4 on both sides.

x = 19

Answer:

x = 19

Step-by-step explanation:

5x-26=x+50

5x = 76 +x

4x = 76

x = 19

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