Answer: The answer is A.
Step-by-step explanation:
An author published a book which was being sold online. The first month the author sold 19000 books, but the sales were declining steadily at 7% each month. If this trend continues, how many total books would the author have sold over the first 12 months, to the nearest whole number?
If this trend continues, the total books the author would have sold over the first 12 months is 157,810 books.
How to calculate the total books sold over the first 12 months?In this scenario, we would calculate the total books sold by this author over the first 12 months as follows;
First month = 19,000 books.
Second month; 19,000 × (1 - 7)% = 19,000 × 93/100 = 17,670 books.
Third month; 17,670 × (1 - 7)% = 17,670 × 93/100 = 16,433 books.
Fourth month; 16,433 × (1 - 7)% = 16,433 × 93/100 = 15,283 books.
Fifth month; 15,283 × (1 - 7)% = 15,283 × 93/100 = 14,213 books.
Sixth month; 14,213 × (1 - 7)% = 14,213 × 93/100 = 13,218 books.
Seventh month; 13,218 × (1 - 7)% = 13,218 × 93/100 = 12,293 books.
Eigth month; 12,293 × (1 - 7)% = 12,293 × 93/100 = 11,432 books.
Ninth month; 11,432 × (1 - 7)% = 11,432 × 93/100 = 10,632 books.
Tenth month; 10,632 × (1 - 7)% = 13,218 × 93/100 = 9,888 books.
Eleventh month; 11,432 × (1 - 7)% = 11,432 × 93/100 = 9,196 books.
Twelveth month; 9,196 × (1 - 7)% = 9,196 × 93/100 = 8,552 books.
Next, we would add all of the books sold in each month together;
Total books sold = 19,000 + 17,670 + 16,433 + 15,283 + 14,213 + 13,218 + 12,293 + 11,432 + 10,632 + 9,888 + 9,196 + 8,552
Total books sold = 157,810 books.
Read more on total books here: https://brainly.com/question/18306224
#SPJ1
Want an equation in point slope form of the line through the given point and with the given slope
(-2,-5); m= 0
A. y+5=x-2
B.y- 5=0
C. X=2
D. y+5= 0
Answer:
The answer is option DStep-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
\(y - y_1 = m(x - x_1)\)
where
m is the slope
( x1 , y1) is the point
From the question the point is ( - 2 , -5) and slope 0 is
The equation of the line is
\(y + 5 = 0(x + 2) \\ \)
We have the final answer as
\(y + 5 = 0\)Hope this helps you
Math is hard please help... 1st picture
isn't todoroki so cute? 2nd picture
Answer:
The new shape will be like the one that i have drawn for you , i think .
add two ( to base* from both sides of it * )
delete one ( from hights )
ask me question from it if u didn't understand this explanation :)
Answer:
yes todoroki is cute/handsome/hot/drop dead gorgeous and yes ima simp
Step-by-step explanation:
and i cant help you T^T
Please help you guys
Answer:
It should be 21.1
Step-by-step explanation:
a square has an area of 49 square inches. if the same amount is added to the length and removed from the width, the resulting rectangle has an area of 45 square inches. find the dimensions of the rectangle.
Answer:
length = 9 in
width = 5 in
Step-by-step explanation:
Algebraic equations and solving:First find the side of square from the given area.Frame the expression for length and width with the help of the side of square.Frame the equation for finding the area of rectangle.Now, by solving the equation, we can find the dimensions of the rectangle.Area of square =side * side
Side² = 49
Side = √49
= 7 inches
Let the measurement added to the length and removed from the width be 'x'.
length = (7 + x) in
width = (7 -x )in
Area of rectangle = length *width
length * width = 45 square inches
(7 + x)(7-x) = 45
{Identity: (a + b)(a -b) = a² - b² where a = 7 & b = x}
7² - x² = 45
49 - x² = 45
-x² = 45 - 49
-x² = - 4
x² = -4 ÷ (-1)
x² = 4
x = √4
x = 2
Dimension of the rectangle:
length =7 + 2 = 9 in
width = 7 - 2 = 5 in
Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a fixed distance, the speed R varies inversely with the time T. In one particular pair of markings, R is 66 mph when T is 5 seconds. Find the speed of a car that travels the given distance in 7 seconds.
The speed of the car is approximately 47.1 mph when it travels the given distance in 7 seconds.
What is speed?
The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
Let R be the speed of the car, and let T be the time it takes the car to travel the fixed distance between the two markings.
According to the problem, the relationship between R and T is inverse, which means that -
R × T = k
where k is a constant of proportionality.
We can use the information given in the problem to find the value of k -
66 mph × 5 seconds = k
k = 330
Now we can use this value of k to find the speed of the car when it travels the distance in 7 seconds -
R × 7 seconds = 330
R = 330 / 7 seconds
R ≈ 47.1 mph
Therefore, the speed of the car is 47.1 mph.
To learn more about speed from the given link
https://brainly.com/question/6504879
#SPJ1
ParagraphAdobe Acrobat1. A football is kicked at ground level with an initial velocity of 64 feet per second.1. standard form: y = -167 +64IV. Graph:II. vertex form: y--161 - 2) + 64SHIRIIII. intercept form: y = -1611 - 4)a. To find the maximum height of the football.Form: (choose) Explanation:I II III IVb. To find the height after 3 secondsExplanation:Form: (choose)I II III IVC. To find the time when the football hits the ground.Form: (choose)Explanation:I II III IV
Given the equation below,
\(y=-16t^2+64t\)To find the maximum point, dy/dt = 0.
Differentiating the equation above,
\(\begin{gathered} y=-16t^2+64t \\ \frac{dy}{dt}=-32t+64 \end{gathered}\)Where dy/dt = 0,
\(\begin{gathered} -32t+64=0 \\ -32t=-64 \\ t=\frac{-64}{-32}=2 \end{gathered}\)Substituting for t into the equation, maximum height is'
\(\begin{gathered} y=-16t^2+64t \\ \text{Where t = 2} \\ y=-16(2)^2+64(2) \\ y=-16(4)+128_{} \\ y=-64+128=64 \end{gathered}\)Hence, the maximum height of the football is 64 ft.
The vertex form is to be used which is given below as,
\(y=-16(t-2)^2+64\)Where (h, k) represents the coordinate of the vertex and k is the maximum height.
Rewrite one eighth times x cubed times y plus seven eighths times x times y squared using a common factor.
Equation y (1/8 x3 + 7) is rewritten by using a common factor. A literal equation is regarded as having at least two variables.
Given that,
Use a common factor to rewrite one eighth times x cubed times y plus seven eighths times x times y squared.
This is how the equation can be rewritten:
The first equation is written as 1/8 x3y + 7/8 xy2.
It is possible to rewrite the equation 1/8 xy(x2 + y) using the common factor.
Equation two:
1/4x.y.4x2 + 28y
1/4 .4 x³ .y + 28y
x3.y + 28y equation to be solved
Using the formula
y = (x3 + 28).
Third claim:
1/4. x. y. x2 + 7y
Fix the problem.
1/4 . x³ .y + 7y
Write y = (1/4x3 + 7) in a new way.
Fourth assertion:
1/8 x3y2.y + 7 x 1/8 x3y3 + 7 x
After removing the common element x(1/8 x2y3+ 7), rewrite the equation.
Fifth Declaration
1/8 x. y. x² + 7y
1/8 x³. y + 7y
Equation y (1/8 x3 + 7) is rewritten.
Thus, a literal equation is one that contains at least two variables. Solve for one variable in terms of the other variable to rephrase a literal equation.
Learn more about Common factor here :
https://brainly.com/question/62293
#SPJ4
11/6=n+7/9 what does n equal
Answer:
n = 19/18
Step-by-step explanation:
11/6 = n + 7/9
-n + 11/6 = 7/9
-n = 7/9 - 11/6
-n = -19/18
n = 19/18
Answer:
n = 19/18
Step-by-step explanation:
The equation 11/6=n+7/9 has fractions with two different denominators (6 and 9). The LCD is 18, which is the smallest number evenly divisible by 6 and 9. Thus, we can rewrite 11/6=n+7/9 as:
33/18 = (18/18)n + 14/18 (Now all three denominators are the same: 18)
Then 33 = 18n + 14, or
19 = 18n
Dividing both sides by 18, we get n = 19/18
Check: Is 11/6 = 19/18 + 7/9 true? YES
The garden club plants a rectangular garden that.
has been divided into six sections. the members
want to find the area of the sections they planted
with herbs. roberto says they can use the
expression 2(3)+2(3). jay says they can use the
expression (4.9) 3. why are both students
correct? explain your reasoning.
lution
lettuce
3 ft
herbs
2 ft
2 ft
3 ft
3 ft
tomatoes
Yes, Both the students are correct because both students calculate the area of a rectangular garden.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
Roberto says they can use the expression;
⇒ 2(3)+2(3)
And, Jay says they can use the expression;
⇒ (4.9) 3
Now,
Since, The garden club plants a rectangular garden that.
And, It has been divided into six sections.
Here, The members want to find the area of the sections they planted with herbs.
Roberto says they can use the expression;
⇒ 2(3)+2(3)
Clearly, Robert find the area of garden as;
⇒ 2(3)+2(3) = 12 ft²
And, Jay find the area of garden as;
⇒ (4.9) 3 = 14.7 ft²
Thus, Both the students are correct because both students calculate the area of a rectangular garden.
Learn more about the rectangle visit:
https://brainly.com/question/25292087
#SPJ4
What is the slope of the line graphed in this grid? Help.
Answer:
A slope of 2/3
Step-by-step explanation:
if you look at the line, starting at the y axis, then just count up 2 and over three, in other graphed lines, just start at the y axis and try to find where the line crosses a specific point, then calculate the rise/run.
Which type of visualization tool can be very helpful when the intention is to show relative proportions of dollars per department allocated by a university administration
The type of visualization tool that can be very helpful when the intention is to show relative proportions is pie chart.
In this question,
A pie chart is a circular chart cut by radii into segments illustrating relative magnitudes or frequencies. It is a way of summarizing a set of nominal data or displaying the different values of a given variable.
Pie charts are often used to represent sample data—with data points belonging to a combination of different categories. It make sense to show a parts-to-whole relationship for categorical or nominal data. Each of these categories is represented as a “slice of the pie.”
The size of each slice is directly proportional to the number of data points that belong to a particular category. Pie charts represent relative frequencies by displaying how much of the whole pie each category represents.
Thus, from the definition, the type of visualization tool that can be very helpful when the intention is to show relative proportions is pie chart.
Learn more about pie chart here
https://brainly.com/question/27689146
#SPJ4
how many natural numbers have no more than 4 digits
There are 9,999 natural numbers that have no more than 4 digits.
To determine the number of natural numbers that have no more than 4 digits, we consider the range of numbers from 1 to 9,999.
The natural numbers with no more than 4 digits include all numbers from 1 to 9 (which form the single-digit numbers), all numbers from 10 to 99 (which form the two-digit numbers), all numbers from 100 to 999 (which form the three-digit numbers), and all numbers from 1,000 to 9,999 (which form the four-digit numbers).
To calculate the total count, we can add the number of single-digit numbers, two-digit numbers, three-digit numbers, and four-digit numbers:
Single-digit numbers: 9 (from 1 to 9)
Two-digit numbers: 90 (from 10 to 99)
Three-digit numbers: 900 (from 100 to 999)
Four-digit numbers: 9,000 (from 1,000 to 9,999)
Adding these counts together:
9 + 90 + 900 + 9,000 = 9,999
Therefore, there are 9,999 natural numbers that have no more than 4 digits.
To know more about natural numbers, refer here:
https://brainly.com/question/16978976
#SPJ4
Hey, can someone help me with my math homework?
aqueell ears hanan pus
The chairman of the Hong Kong Computer Game Association wants to find the average hour of the members spend in computer game daily. It is known that the club has 500 members, and 6 members are selected randomly for an interview. (i) Identify the above sampling method. (ii) What is the probability of a member being selected?
The sampling method used in this scenario is simple random sampling. The probability of a member being selected can be calculated as the ratio of the number of members selected to the total number of members in the club.
To calculate the probability, we need to determine the number of ways to select 6 members out of the 500 total members. This can be done using the combination formula, which is given by:
C(n, r) = n! / (r! * (n - r)!)
where n is the total number of members and r is the number of members selected for the interview.
Plugging in the values, we have:
C(500, 6) = 500! / (6! * (500 - 6)!)
Calculating this expression gives us the total number of ways to select 6 members out of 500. The probability of a member being selected is then given by:
Probability = Number of ways to select 6 members / Total number of members
By dividing the number of ways to select 6 members by the total number of members, we can obtain the probability.
To know more about random sampling, refer here:
https://brainly.com/question/30759604#
#SPJ11
what is the answer -x/8>-6
Answer:
multiply both sides by -1
X/8 > 6
multiplying 8 on both sides
X > 48 is the answer!
Indicate which property is illustrated in Step 2.
Step 1 12x + 2 + 5x + 1 = (12x + 2) + (5x + 1)
Step 2 = 12x + (2 + 5x) + 1
Step 3 = 12x + (5x + 2) + 1
Step 4 = (12x + 5x) + (2 + 1)
Step 5 = (12 + 5)x + (2 + 1)
Step 6 = 17x + 3
A.
distributive
B.
associative
C.
arithmetic fact
D.
commutative
Answer:
b
Step-by-step explanation:
the cost of renting a scooter y varies directly with the number of hours the scooter is rented x. suppose it costs $21.75 to rent the scooter for 3 hours. write a direct variation equation in the form y
The direct variation equation in the form x and y is y = 7.25x
As per the given data, the cost of renting a scooter y varies directly with the number of hours the scooter is rented x.
Suppose it costs $21.75 to rent the scooter for 3 hours.
Here we have to determine a direct variation equation in the form of y.
The renting cost (y) is directly proportional to the hours (x).
y ∝ x
y = kx.....(1)
Here k is known for the proportionality constant
From the given information we can find the value of k.
21.75 = k (3)
k = \($\frac{21.75}{3}\)
k = 7.25
Now we have to substitute the value of k in the equation (1)
We get:
y = 7.25x
Therefore a direct variation equation is y = 7.25x.
For more questions on proportionality constant
https://brainly.com/question/29984831
#SPJ4
Draw the group table for the factor group Z_4×Z_2/⟨ (2,1)⟩.
This is the group table for the factor group Z_4×Z_2/⟨ (2,1)⟩.
| (0,0) | (1,0) | (2,0) | (3,0) | (0,1) | (1,1) | (2,1) | (3,1)
------------------------------------------------------------------
(0,0) | (0,0) | (0,0) | (0,0) | (0,0) | (0,0) | (0,0) | (0,0) | (0,0)
------------------------------------------------------------------
(1,0) | (1,0) | (0,0) | (3,0) | (2,0) | (1,0) | (0,0) | (3,0) | (2,0)
------------------------------------------------------------------
(2,0) | (2,0) | (3,0) | (0,0) | (1,0) | (2,0) | (3,0) | (0,0) | (1,0)
------------------------------------------------------------------
(3,0) | (3,0) | (2,0) | (1,0) | (0,0) | (3,0) | (2,0) | (1,0) | (0,0)
------------------------------------------------------------------
(0,1) | (0,0) | (2,0) | (1,0) | (3,0) | (0,0) | (2,0) | (1,0) | (3,0)
------------------------------------------------------------------
(1,1) | (1,0) | (1,1) | (2,0) | (2,1) | (3,0) | (3,1) | (0,0) | (0,1)
------------------------------------------------------------------
(2,1) | (2,0) | (3,1) | (3,0) | (0,0) | (1,0) | (0,1) | (1,0) | (2,0)
------------------------------------------------------------------
(3,1) | (3,0) | (0,0) | (1,0) | (2,0) | (0,1) | (1,0) | (2,1) | (3,0)
------------------------------------------------------------------
To draw the group table for the factor group Z_4×Z_2/⟨ (2,1)⟩, we need to understand the concept of a factor group and the given group Z_4×Z_2.
The group Z_4×Z_2 is the direct product of two cyclic groups: Z_4 (integers modulo 4) and Z_2 (integers modulo 2). It contains elements of the form (a,b), where a is an integer modulo 4 and b is an integer modulo 2.
The factor group Z_4×Z_2/⟨ (2,1)⟩ is formed by taking the quotient group of Z_4×Z_2 with the subgroup generated by the element (2,1). This means that we will consider the cosets of ⟨ (2,1)⟩ and represent the elements of the factor group as these cosets.
To draw the group table, we list all the elements of the factor group and perform the group operation (which is usually multiplication) on them.
First, let's list the elements of Z_4×Z_2:
(0,0), (1,0), (2,0), (3,0), (0,1), (1,1), (2,1), (3,1)
Now, let's calculate the cosets of ⟨ (2,1)⟩. To do this, we multiply each element of Z_4×Z_2 by (2,1) and find the remainder when divided by (4,2). This will give us the cosets of ⟨ (2,1)⟩.
(0,0) + ⟨ (2,1)⟩ = (0,0)
(1,0) + ⟨ (2,1)⟩ = (1,0)
(2,0) + ⟨ (2,1)⟩ = (2,0)
(3,0) + ⟨ (2,1)⟩ = (3,0)
(0,1) + ⟨ (2,1)⟩ = (2,1)
(1,1) + ⟨ (2,1)⟩ = (3,1)
(2,1) + ⟨ (2,1)⟩ = (0,0)
(3,1) + ⟨ (2,1)⟩ = (1,0)
Now, we can fill in the group table by performing the group operation (multiplication) on the cosets of ⟨ (2,1)⟩.
Each element is represented by its coset, and the group operation is performed by multiplying the cosets together.
Learn more about cosets:
https://brainly.com/question/29585253
#SPJ11
0.2(3m − 6) + m = 2 for 8th grade
Answer:
2
Step-by-step explanation:
0.6m-1.2+m=2
1.6m-1.2=2
1.6m=3.2
m=2
At a restaurant, your bill has a food total of $45.50. Find the amount of an 18% tip on the food total.
Answer:
$8.19
Step-by-step explanation:
Divide both numbers together.
Don't forget to make 18% in a decimal format like this -> 0.18
45.50 / 0.18
What is the probability that a randomly chosen young adult has at least a high school education? which rule of probability did you use to find the answer?
The probability that a randomly chosen young adult has at least a high school education can be found using the rule of probability called the "complement rule".
To find the answer, we need to subtract the probability that a randomly chosen young adult does not have at least a high school education from 1. In other words:
Probability of having at least a high school education = 1 - Probability of not having at least a high school education.
By using this rule, we can calculate the probability.
To know more about probability refer here:
https://brainly.com/question/31828911
#SPJ11
Write each equation in slope-intercept form.
2y = -6-2x
Answer:
y=-x-3
Step-by-step explanation:
2y= -6-2x
2y=-2x-6
y=-x-3
Use the graph of y = f(x) to find the limits: Step 1 of 4: Find lim f(x). x→-3+ Answer ↓ 10 12 107- Q J O of Enable Zoom/Pan 10 X Keypad Keyboard Shortcuts
The limit of f(x) as x approaches -3 from the right is 10.
In order to find the limit of f(x) as x approaches -3 from the right, we need to analyze the behavior of the function as x gets closer and closer to -3 from values greater than -3. Looking at the graph, we can see that as x approaches -3 from the right, the function approaches a y-value of 10. This means that as x gets very close to -3 from the right side, the function f(x) tends to get closer and closer to 10.
The limit notation, lim f(x), x→-3+, represents the limit as x approaches -3 from the right. The plus sign (+) next to the -3 indicates that we are considering values of x that are slightly greater than -3. By examining the graph, we can clearly see that the function approaches a y-value of 10 as x approaches -3 from the right. Therefore, the limit of f(x) as x approaches -3 from the right is 10.
Kearn more about function here:
https://brainly.com/question/30721594
#SPJ11
figure A is a scale copy of figure B
The value of x is 42.
To determine the value of x, we need to analyze the given information regarding the scale factor between Figure A and Figure B.
The scale factor is expressed as the ratio of the corresponding side lengths or dimensions of the two figures.
Let's assume that the length of a side in Figure B is represented by 'x'. According to the given information, Figure A is a scale copy of Figure B with a scale factor of 2/7. This means that the corresponding side length in Figure A is 2/7 times the length of the corresponding side in Figure B.
Applying this scale factor to the length of side x in Figure B, we can express the length of the corresponding side in Figure A as (2/7)x.
Given that the length of side x in Figure B is 12, we can substitute it into the equation:
(2/7)x = 12
To solve for x, we can multiply both sides of the equation by 7/2:
x = (12 * 7) / 2
Simplifying the expression:
x = 84 / 2
x = 42
For more such questions on value
https://brainly.com/question/843074
#SPJ8
A triangle has vertices as D(4,5), E(1,8) and F (1,2). Show that the height from D is also the median from D.
The x-coordinate of the altitude on EF is the same as the point D(4, 5) and by calculation, the height from D (1, 5) is also median from D (1, 5)
How can the height and median be calculated?The height from D is perpendicular to EF
The slope of EF = (8 - 2)/(1 - 1) = ∞
Therefore, the side EF is parallel to the y-axis.
Therefore, the coordinates of the point of intersection of the altitude from D and the line EF is (1, 5)
The median is the midpoint of the side EF
The coordinates of the midpoint is found as follows;
\( \mathbf{ \left(1 + \frac{1 - 1}{2}, \: 1 + \frac{8 - 2}{2}\right)} = (1 ,5)\)
Therefore;
The height from D is also the median from D.Learn more about the median of triangle here:
https://brainly.in/question/14952881?msp_srt_exp=5
#SPJ1
Which one blue, light blue , yellow or red
Step-by-step explanation:
I just answered this. how often did you post this question ?
the answer is light blue.
Thirteen years ago, you deposited $2400 into a superannuation
fund. Eight years ago, you added an additional $1000 to this
account. You earned 8%, compounded annually, for the first five
years, and 5.
The total amount money after thirteen years of savings will be $5030.63
To calculate the amount of money in the account today, we need to calculate the future value of each contribution separately and then add them together.
Let's start by calculating the future value of the initial deposit of $2400 over the first five years at an interest rate of 8% compounded annually.
Using the formula for compound interest:
Future Value = \(Principal\) * \((1 + Interest Rate)^{Time}\)
Future Value = $2400 * (1 + 0.08)⁽⁵⁾
Future Value = $2400 * (1.08)⁵
Future Value = $2400 * 1.46933
Future Value = $3526.40
So, after five years, the initial deposit will grow to $3526.40.
Now, let's calculate the future value of the additional deposit of $1000 over the last eight years at an interest rate of 5.5% compounded annually.
Future Value = $1000 * (1 + 0.055)⁸
Future Value = $1000 * (1.055)⁸
Future Value = $1000 * 1.50423
Future Value = $1504.23
So, after eight years, the additional deposit will grow to $1504.23.
Now, let's add the two amounts together to find the total amount in the account today:
Total Amount = $3526.40 + $1504.23
Total Amount = $5030.63
So, the total amount money after thirteen years of saving will be $5030.63
Learn more about Interest Rate:
https://brainly.com/question/29451175
#SPJ4
Complete question:
Thirteen years ago, you deposited $2400 into a superannuation fund. Eight years ago, you added an additional $1000 to this account. You earned 8%, compounded annually, for the first five years, and 5.5%, compounded annually, for the last eight years. How much money do you have in your account today?
Select the reason that best supports Statement 6 in the given proof.
A. Transitive Property
B. Substitution
C. Addition Property of Equality
D. Subtraction Property of Equality
Answer:
Step-by-step explanation:
Which expressions are equivalent to One-half + 3 c + StartFraction 4 Over 5 EndFractionCheck all that apply.
Answer:
(13+30c)/10
Step-by-step explanation:
Given the expression;
1/2 + 3c + 4/5
Find the LCM
= 5(1)+10(3c)+2(4)/10
= (5+30c+8)/10
= (13+30c)/10
Hence the required sum is (13+30c)/10