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!
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
3(x+4)>12
can yall help me fr
Answer:
x>0
Step-by-step explanation:
Answer:
x > 0
Step-by-step explanation:
3(x + 4) > 12
Divide both sides by 3
x + 4 > 4
Subtract 4 from both sides
x > 0
f the measure of angle BCD is 67.4°, the measure of angle ABC is °. If the length of base AB is 80 feet, the length of DC is feet.
Answer:
[tex]\angle ABC = 112.6^o[/tex]
[tex]DE =105[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
[tex]\angle ABC[/tex] and side length DC
Calculating [tex]\angle ABC[/tex]
First, calculate [tex]\angle EBC[/tex]
[tex]\angle EBC + \angle BCE + 90 = 180[/tex] --- angles in a triang;e
[tex]\angle BCE =\angle BCD = 67.4[/tex]
So:
[tex]\angle EBC + 67.4+ 90 = 180[/tex]
[tex]\angle EBC + 157.4 = 180[/tex]
Collect like terms
[tex]\angle EBC = 180-157.4[/tex]
[tex]\angle EBC = 22.6[/tex]
So:
[tex]\angle ABC = \angle EBC +90[/tex]
[tex]\angle ABC = 22.6 +90[/tex]
[tex]\angle ABC = 112.6^o[/tex]
Calculating DC
First, calculate EC using Pythagoras theorem.
[tex]BC^2 = BE^2 + EC^2[/tex]
[tex]65^2 = 60^2 + EC^2[/tex]
[tex]4225 = 3600 + EC^2[/tex]
Collect like terms
[tex]EC^2 =4225 - 3600[/tex]
[tex]EC^2 =625[/tex]
Take square roots
[tex]EC = 25[/tex]
Length DC is:
[tex]DC = DE + EC[/tex]
Where
[tex]DE = AB =80[/tex]
So:
[tex]DE =80+25[/tex]
[tex]DE =105[/tex]
Answer:
ABC= 112.6
DC= 105
Step-by-step explanation:
got it right on edge!
The summation symbol, is the Greek capital symbol and it is used like the English S. Why do you think it was chosen to represent a Sigma Notation?
Answer:
During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.
Step-by-step explanation:
The summation symbol ∑ is the upper case equivalent of capital S in Greek and S represents sum in English.
During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.
Answer:
During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.
The summation symbol ∑ is the upper case equivalent of capital S in Greek and S represents sum in English.
During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.
Step-by-step explanation:
its correct on EDGE2021
It typically takes Mr. Dunn 20 minutes to get to school, but it took him 40% longer today. How long did it take Mr. Dunn to get to school today?
EXPLAIN THE ANSWER
Answer:
28 minutes
Step-by-step explanation:
40 percent is 0.4 and 100 percent is 1. Since you have the full 100% of 20 plus the increase of 40% you have to multiply by 20 by 1.4
1.4*20 = 28
3. The total cost of 3 Nintendo Switch games is $89.97. If
each game costs the same amount, write an equation that
can be used to determine g, the cost of 1 game.
Answer:
3x=89.97
x=89.97/3
x=29.99 -- price of one
Step-by-step explanation:
Given the functions f(x) = 2x + 1 and g(x) = 5x +4, find m(x) = f(x) - g(x)?
А. m(x) = 3x + 3
B. m(x) = -3x + 5
C. m(x) = -3x - 3
D. m(x) = 7x + 5
Answer:
m(x) =-3x -3
Step-by-step explanation:
f(x) = 2x + 1
g(x) = 5x +4
f(x) -g(x) = 2x + 1 -( 5x +4)
Distribute the minus sign
f(x) -g(x) = 2x + 1 -5x -4
Combine like terms
= 2x-5x +1 -4
= -3x -3
Sebastian bought x gallons of gas at a price of $2.91 per gallon at his local gas station. When he paid for the gas, Sebastian also paid $11.40 for granola
bars and a box of tissues.
If Sebastian filled 10 gallons of gas, how much did he spend in all at the gas station?
Answer:
Sebastian spent $40.40 at the gas station.
Step-by-step explanation:
First let's find how much the gas cost.
So it's $2.91 a gallon, and Sebastian fills 10 gallons of gas, so we multiply.
10 * 2.91 = $29.10
Then we add on the $11.40 from the granola bars and the box of tissues.
$29.10 + $11.40 = $40.50
So the final price should be $40.40. Sebastian spent $40.40 at the gas station.
.. The solution of which quadratic Inequality is shown on the number line?
O (3+6) (3 – 4) <0
O (2-6) (2 - 4) > 0
O (30 – 6)(+4) <0.
O (30 – 6) (x – 4) <0
Explanation:
If you graphed (x-6)(x+4) on the xy plane, then you'll see a parabola forming. This parabola has roots at x = -4 and x = 6. Between these roots, the curve is below the x axis. This visually shows that (x-6)(x+4) is negative when -4 < x < 6.
Furthermore, we can say that (x-6)(x+4) is negative or zero when [tex]-4 \le x \le 6[/tex] which corresponds directly to the number line graph your teacher gave you. The endpoints being closed circles mean "include this as part of the shaded solution set".
A house was valued at $540,000 last year. The house has now appreciated and increased in
value by 4%. What is the house worth now?
Answer:
The house worth now: $540,000*(1+4%)= $561,600
Step-by-step explanation:
Which polynomial represents the sum below? (16x^2-16) + (-12x^2-12x+12)
Step-by-step explanation:
the answer is in the above image
Tina's family buys 4 cheeseburgers and 3 orders of fries for $7.25. Louise's family buys 6 cheeseburgers and 3 orders of fries for $9.75. What is the total cost of 1 cheeseburger and 1 order of fries?
Answer:
cheeseburgers cost= $1.25 and
Fries cost = $0.75
Step-by-step explanation:
Given data
let cheeseburgers be x
and fries be y
4x+3y= 7.25--------------1
6x+3y= 9.75--------------2
Subtract the equations
4x+3y= 7.25--------------1
6x+3y= 9.75--------------2
-2x+0= -2.5
2x=2.5
x=2.5/1.5
x= 1.25
Put x= 1.25 in 1
4x+3y= 7.25--------------1
4(1.25)+3y= 7.25--------------1
5+3y= 7.25
3y=7.25-5
3y=2.25
y= 2.25/3
y= 0.75
Hence cheeseburgers cost= $1.25 and
Fries cost = $0.75
Robert says that he can draw an obtuse equilateral triangle. Jonas says that is not possible. Who is correct and why?
A.
Robert is correct as long as the other two angles are acute and all of the sides are the same length.
B.
Jonas is correct because an equilateral triangle has 3 acute angles and all sides the same length.
C.
Robert is correct because all equilateral triangles have 1 obtuse angle and all sides the same length.
D.
Jonas is correct because equilateral triangles have one right angle and two sides the same length.
Answer:
The correct answer is B. Jonas is correct because an equilateral triangle has 3 acute angles and all sides the same lenght
HELP ME I'LL MARK BRAINLIESTS AND PLUS 65 PTS!!!
Answer:
114
Step-by-step explanation:
Apply triangle outer angle theorem.
24+90=114.
Angle 1 equal 114
Tara has read 95\%95%95, percent of the books she owns. If Tara owns 160160160 books, how many of her books has she not read?
Answer:
Number of books she has not read =8
Step-by-step explanation:
Number of books Tara has=160
Number of books she has read =Percentage of what she has read x Number of book s she has =95% x 160=152
Number of books she has not read =Number of books Tara has- Number of books she has read=160-152=8
If you receive 25% off an item costing $220, how much
money do you save?
Answer:
You save $55
Step-by-step explanation:
To find out what the 75% of the 220 is, you need to do .75 times 220 and then after you get the answer, subtract that number from 220 and you have your answer.
What is the surface area, in cm2, of the figure?
Answer:
292 cm²
Step-by-step explanation:
the area = 2×(8×6 +8×7 + 6×7)
= 2×(48+56+42)
= 2×146
= 292
Question and choices are in the photo please explain the answer
Answer:
D.
Step-by-step explanation:
See attached photo.
Answer please fast
Do it now please, come on do it come on
Answer:
C 42yd
Step-by-step explanation:
HURRRYYYY I NEED AND ANSWER ***
What percentage of the data values falls between the values of 3 and 24 in the data set shown?
0
5
10
15
20
25
25%
050%
оооо
75%
О 100%
Answer:
I think that's 25 though I have no assurance
PLEASE HELP ATTACHED BELOW
Answer:
[tex]Area~of~quarter:-[/tex]
[tex]\frac{\pi r^2}{4}[/tex][tex]=\frac{\pi *8*8}{4}[/tex]
[tex]=16\pi[/tex]
--------------------hope it helps...have a great day!!A farmer takes note of how many eggs he collects each day for 20 days and creates a boxplot from his data
(below). How many of the days did he collect MORE than 3 eggs?
Answer:
C.
Step-by-step explanation:
Each part of the boxplot is 25%.
At 3, Q1 starts.
Q1 + mean + Q3 = 75%
0.75 * 20 = 15 days
Can someone help with this problem! Please don't scam
Answer:
KQ = 11.5 units
Step-by-step explanation:
In triangle ABC,
K is the point of intersection of medians AP and BQ.
Therefore, point K will be the centroid of the triangle.
Property of the centroid of a triangle,
" Centroid of a triangle divides the median in the ratio of 2 : 1"
Ratio of BK and KQ = 2 : 1
[tex]\frac{BK}{KQ}=\frac{2}{1}[/tex]
[tex]\frac{23}{KQ}= \frac{2}{1}[/tex]
[tex]KQ = \frac{23}{2}[/tex]
KQ = 11.5
Therefore, length of segment KQ = 11.5 units
what is the exponential form for 7^√x^3
(√7)3=732
Explanation:
To write
(√7)3
in exponential form, one needs two identities - n√a=a1n
and (am)n=a(m×n)
which is true for all rational
m and n.
Hence,
(√7)3= (712)3
= 7(12×3)
= 732
Raju's father is 26 years younger than raju's grandfather and 29 years older than raju. The sum of the ages of all the three is 135 years. Also raju's grandmother is 4 times raju's age and his sister is 7 times younger than him
Answer:
Raju = 17 years
Raju's father age = 46 years
Raju's grandfather age = 72 years
Raju's grandmother = 68 years
His sister = 10 years old
Step-by-step explanation:
Raju’s father is 26 years younger than Raju’s grandfather and 29 years older than Raju. The sum of the ages of all the three is 135 years. Also, Raju's Grandmother is four times of Raju’s age and his sister is 7 years younger than him.
Let
Raju's age = x
Raju's father age = x + 29
Raju's grandfather age = (x + 29) + 26
Total ages = 135
(x) + (x + 29) + (x + 29) + 26 = 135
x + x + 29 + x + 29 + 26 = 135
3x + 84 = 135
3x = 135 - 84
3x = 51
x = 51 /3
x = 17
Raju's age = x = 17 years
Raju's grandmother = 4 times raju's age
= 4 × 17 years
= 68 years
his sister = 7 years younger than him.
= 17 - 7
= 10 years old
Raju's father age = x + 29
= 17 + 29
= 46 years
Raju's grandfather age = (x + 29) + 26
= 46 + 26
= 72 years
Suppose there is a city where the mean cost per month of a one-bedroom apartment is $1,500, with a standard deviation of $250. Approximately what percentage of one-bedroom apartments in the city cost between $750 and $1,000?
Answer:
2.35%
Step-by-step explanation:
Firstly, we calculate the z-score of each
we have this as;
z-score = (x - mean)/SD
from the question, mean is $1,500 while standard deviation is $250
So for each;
z-score = (750-1500)/250 = -750/250 = -3
z-score = (1000-1500)/250 = -500/250 = -2
Simply put, we want to calculate the percentage of prices between three standard deviations below the mean and two standard deviations below the mean
We can calculate this by using the empirical rule chart;
By looking up the this, the percentage of values between 3 SD below the mean and 2 SD below the mean is 2.35%
Which is the graph of g(x) = 2x – 1 + 3?
Answer:
Your question is not very clear, hope I get what you want
Step-by-step explanation:
2x-1+3
=2x+2
=2(x+1)
Answer:The graph in the attached figureStep-by-step explanation:we have[tex]g(x)=2^{x-1}+3[/ tex
Find the difference between one million and two hundred fifty thousand.
Express the difference in words in International and Nepali Systems.
Answer:
Step-by-step explanation:
[tex]One \ million = 1, 000, 000\\\\Two \ hundred \ and \ fifty \ thousand = 250, 000[/tex]
Difference between one million and two hundred and fifty thousand
[tex]1,000,000[/tex] [tex]- \ 250,000[/tex] [tex]= 750000[/tex]
International Number System,750,000: Seven Hundred and Fifty Thousand
Nepalis Number System,7, 50,000 : Seven Lakh Fifty Thousand
Please use the following image for the next 7 questions. Keep in mind that because XY is tangent to circle M, XM and XM form a right angle.
XM = 11 and YM = 36.
What is the area of circle M?
What is the circumference of circle M?
Find the length of XY .
Find the measure of angle M.
Find the area of triangle XYM.
Find the area of the minor sector that has been created as part of triangle XYM.
Find the arc length of the minor arc from point X to the point where YM intersects with the circle.
It is 34.90
Step-by-step explanation:
Your welcome!
WILL MARK BRAINLIEST FOR RIGHT ANSWER!!!
Find the geometric series of a geometric sequence where a= 294 and common ratio of
seven for a6, through a10.
The values a,b and c.
Answer:
a = 1, b = - [tex]\frac{1}{8}[/tex], c = 4
Step-by-step explanation:
Given
x - [tex]\frac{1}{8}[/tex] y + 4 ← in the form ax + by + c
with a = 1, b = - [tex]\frac{1}{8}[/tex], c = 4