In 1994, the city of Amuel had a population of 1,256 people. That same year a factory opened near the town, and many people moved into the city limits. The population grew to 1,381 people in 1995, and in 1996 the population of Amuel reached 1,519 people. Assume this rate of growth continued until the factory closed in 2007. How many people were living in Amuel when the factory closed? Explain. Round to the nearest whole number, if needed.
Answers
Answer:
4604 (when rounded to the nearest whole number)
Step by step explanations:
Using the exponential growth formula, we can determine Amuel's population at the time the factory shut down: N = N0 * e^(rt) (rt) Where r is the growth rate, t is the number of years the growth takes place, N is the ultimate population, N0 is the starting population, and r represents growth.
We may use the population data from 1995 and 1996 to get the growth rate: r = ln(1,381 / 1,256) / (1996 - 1995) (1996 - 1995)
Putting the numbers in: r = 0.117
Next, we determine how many years the growth took place: t = 13 years (2007 - 1994) Lastly, we enter the values into the formula as follows: N = 1,256 * e^(0.117 * 13)
Calculating the answer, we discover: 4,604 persons (N = 1,256 * 3.63) Consequently, there were about 4,604 residents there when the facility shut down in 2007.
Related Questions
Point P is inside ΔABC and is equidistant from points A and B. On which of the following segments must P be located? A. AB B. The perpendicular bisector of AB C. The midsegment opposite AB D. The perpendicular bisector of AC
Answers
Answer:
Step-by-step explanation:
ASQASSA
A set of twins purchase a small, oddly shaped plot of land for their retirement. They want to divide the parcel along the grid lines into two identical plots. Can they do it and how?
Answers
The ability of the twins to divide the oddly shaped plot into two Identical plots along the grid lines depends on the presence of a line of symmetry.
To determine whether the set of twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need to consider the characteristics of the plot and the conditions required for the division.
For the division to be possible, the plot needs to have a line of symmetry that can be used to create two identical halves. A line of symmetry divides an object into two equal and mirrored parts.
If the plot of land has a line of symmetry, the twins can divide it by drawing a line along the symmetry axis. This line should cut the plot into two equal halves, ensuring that both plots are identical.
However, if the plot does not have a line of symmetry, it may not be possible to divide it into two identical plots along the grid lines. In this case, the twins would need to consider alternative methods of division or compromise on the goal of having two identical plots.
To determine if the plot has a line of symmetry, the twins can examine its shape and characteristics. They can look for any symmetrical patterns, such as equal sides or mirrored shapes, that indicate the presence of a line of symmetry.
If the plot does not have an obvious line of symmetry, the twins might need to explore other options, such as dividing the plot into two equal areas based on other criteria, such as the length or width of each half.
the ability of the twins to divide the oddly shaped plot into two identical plots along the grid lines depends on the presence of a line of symmetry. If such a line exists, they can divide the plot by drawing a line along the symmetry axis. However, if the plot lacks symmetry, they may need to consider alternative methods of division or adjust their expectations.
To know more about Identical .
https://brainly.com/question/31354059
#SPJ8
Note the full question may be :
To determine whether the twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need more specific information about the shape and dimensions of the plot. the shape of the plot (rectangular, triangular, irregular), the lengths of its sides, any existing grid lines or divisions within the plot.
Analyzing a Solution
Mark used a number line to model dividing by 3. He
3
divided the number line from 0 to 1 in 3 equal sections,
and then divided each of those sections into 2 equal
1
parts. Mark says+3 is 3.
Is his answer correct? Explain why or why not.
Answers
No, his answer is not correct because each of the smaller divisions represents 1/6, not 3.
Mark's answer is not correct.
When dividing a number line into equal sections, the value of each section represents a fraction of the whole.
In this case, Mark divided the number line from 0 to 1 into 3 equal sections and then divided each of those sections into 2 equal parts.
Initially, the whole number line from 0 to 1 represents the number 1. When Mark divided it into 3 equal sections, each section represents 1/3 (one-third) of the whole.
So far, this is correct.
However, when Mark further divided each of the 1/3 sections into 2 equal parts, each part represents 1/2 (one-half) of the 1/3 section.
So, each of these smaller divisions represents 1/2 \(\times\) 1/3 = 1/6 (one-sixth) of the whole.
Therefore, the correct representation of each of the smaller divisions is 1/6, not 3.
Mark made an error by mistakenly assuming that each smaller division represents the number 3.
In summary, Mark's answer of 3 is incorrect because each of the smaller divisions represents 1/6, not 3.
The correct representation for dividing the number line as described is 1/6.
For similar question on smaller divisions.
https://brainly.com/question/29250154
#SPJ8
the temperature (in degrees celsius) as a function of time (in hours since moon) for a certain day in san jose costa rica is graphed?
Answers
Answer:
1.2 degrees celsius per hour
Step-by-step explanation:
that’s the answer on khan academy
The Average rate is 1.2 hour
What is average rate?A single rate that is a weighted average of the different rates that are applicable to property in various locations.
The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function.
Given:
The temperature at 3:30 pm is 24 degrees.
and, the temperature at 8:30 pm is 18 degrees.
So, the time difference is of 5 hours.
then, the average rate is
= (24 - 18) / 5
= 6 /5
= 1.2 hour.
Learn more about average rate here:
https://brainly.com/question/12395856
#SPJ2
Answer this to get Brainiest:
Find the Difference:
llllllllllllllllllllllllllllll
llllllllllllllllllllllllllllll
llllllllllllllllllllllllllllll
lllllllllllllllllllllllllllllll
lllllllllllllllllllllllllllllll
lllllllllllllllllllllllllllllll
lllllllllllllllllllllllllllllll
lllllllllllllllllllllllllllllll
lllllllllllllllllllllllllllllll
llllllllllilllllllllllllllllll
lllllllllllllllllllllllllllllll
lllllllllllllllllllllllllllllll
lllllllllllllllllllllllllllllll
llllllllllllllllllllllllllllll
lllllllllllllllllllllllllllll
llllllllllllllllllllllllllllll
llllllllllllllllllllllllllllll
llllllllllllllllllllllllllllll
lllllllllllllllllllllllllllllll
lllllllllllllllllllllllllllllll
llllllllllllllllllllllllllllllll
llllllllllllllllllllllllllllllll
llllllllllllllllllllllllllllllllllll
Which row has a different letter than the other ones?
Answers
Answer:
On the tenth row there is an "i"
Find the total cost of a $363.99 airline ticket with a sales tax of 9%
Answers
Answer: Before Tax Price: $363.99
Sale Tax: 9.00% or $32.76
After-Tax Price: $396.75
Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
Answers
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
Learn more about ratio here:
https://brainly.com/question/2328454
#SPJ1
Student Enrollment
The enrollment at a local college has been decreasing linearly. In 2004, there where 975 students enrolled. By
2009, there were only 730 students enrolled. Determine the average rate of change of the school's enrollment
during this time period, and write a sentence explaining its meaning.
The average rate of change=
The enrollment at the college has been [Select an answer at a rate of
Select an answer v
Answers
The average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.
To determine the average rate of change of the school's enrollment during the given time period, we can use the formula:
Average rate of change = (Change in enrollment) / (Change in time)
The change in enrollment is calculated by subtracting the initial enrollment from the final enrollment, while the change in time is calculated by subtracting the initial year from the final year.
Given that in 2004 there were 975 students enrolled and in 2009 there were 730 students enrolled, we can calculate the change in enrollment:
Change in enrollment = 730 - 975 = -245 students
The change in time can be calculated as:
Change in time = 2009 - 2004 = 5 years
Now we can calculate the average rate of change:
Average rate of change = (-245 students) / (5 years) = -49 students per year
Therefore, the average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.
For more such questions on enrollment,click on
https://brainly.com/question/1101942
#SPJ8
Find the value of each variable in the circle to the right. The dot represents the center of the circle.
Answers
Answer:
b = 90 degrees
a= 68.5 degrees
angle a = 1/2(137)
a = 68.5
Has slope of 2 and passes through (-2, 1) write equation in point slope form of the line that passes through the given point and has the given slope. write the equation in slope intercept form.
Answers
Slope = m = 2
y = mx + b
y = 2x + b
Plug in (-2, 1) to find b
1 = 2(-2) + b
b = 5
y = 2x + 5
PLEASE HELP!!! DUE SOON!!!
Answers
Answer: x=0
Step-by-step explanation: 0=-x^7
-x^7=0
x^7=0
so answer is : 0
The perimeter of a rectangle is 48m. If the width were doubled and the length were
increased by 24m, the perimeter will be 112m. What are the length and width of the rectangle?
Answers
Answer:
Step-by-step explanation:
2W + 2L = 48
W + L = 24
L = 24 - W
2(2W) + 2(L + 24) = 112
4W + 2L + 48 = 112
4W + 2(24 - W) + 48 = 112
4W + 48 - 2W + 48 = 112
2W = 16
W = 8
L = 24 - 8
L = 16
the function of g(x) is the height of a football x seconds after it is theown in the air. The football reaches its maximum height of 30 feet in 4 seconds, and hits the ground at 10 seconds. What is the practical domain for the function f(x)?
Answers
The domain of the function will be less than or equal to 4 is x ≤ 4
Domain of a functionThe domain of a function are real values for which the function exists
For the question given, the time taken will serve as the domain of the function while the height after a particular time will be the range.
The domain depends on the time it takes to reach the maximum height. SInce the football reaches its maximum height of 30 feet in 4 seconds, hence the domain of the function will be less than or equal to 4 is x ≤ 4
Learn more on domain here: https://brainly.com/question/26098895
Nasir is laying out a garden in the shape of a right triangle. he draws it on the coordinate grid below. The three vertices of his garden are at the points A (-3,-4), B(6, -4), and C (6,8). he wants to enclose the garden with a fence that runs along its perimeter. how many feet of fencing will Nasir needs?
Answers
Step-by-step explanation:
it is not important that the triangle is right-angled.
but the distance between each pair of points is calculated via Pythagoras
c² = a² + b²
with c being the Hypotenuse (baseline opposite of the 90° angle) = distance between the end points, and a and b are the legs (= the x and y coordinate differences of the 2 end points) of the virtual right-angled triangles between each pair of points.
so,
AB² = (6 - -3)² + (-4 - -4)² = 9² + 0² = 81
AB = 9 ft
BC² = (6 - 6)² + (8 - -4)² = 0² + 12² = 144
BC = 12 ft
and now for AC, which is because of the special case of how the main triangle is placed and oriented, the same calculation as with Pythagoras for the main right-angled triangle. but I keep showing you the point distance calculation, because this is what you will need in the future for more general triangle or other shapes calculations :
AC² = (6 - -3)² + (8 - - 4)² = 9² + 12² = 81 + 144 = 225
AC = 15 ft
so, Nasir will need
9 + 12 + 15 = 36 ft
of fencing.
What is the product of 13/78 and 78/13?
Answers
Question 1 (1 point)
In the context of elevation, what would | -7 | feet mean?
O a
O b
Oc
Od
The vertical distance between the point at 7 feet and sea level (0 feet).
The vertical distance between the point at -7 feet and sea level (0 feet).
The horizontal distance between the point at 7 feet and sea level (0 feet).
The horizontal distance between the point at -7 feet and sea level (0 feet).
Answers
The correct answer is option (b) The vertical distance between the point at -7 feet and sea level (0 feet)
What is elevation?
The elevation is the height of an object or point above a given reference point, usually sea level. It is often used to describe the height or altitude of a geographic location, such as a mountain peak or a city, and is commonly measured in feet or meters.
In the context of elevation, | -7 | feet would mean the vertical distance between the point at -7 feet and sea level (0 feet).
The vertical distance between two points is calculated by taking the absolute value of the difference between their elevations. So, in this case, the absolute value of -7 is 7, which means the point is 7 feet below sea level.
The correct answer is option (b) The vertical distance between the point at -7 feet and sea level (0 feet).
To know more about elevations visit:
brainly.com/question/31361033
#SPJ1
Rename 3/10 and 2/3 using the least common denominator.
Answers
Answer:
LCD = 30
3/10 = 9/30
2/3 = 20/30
Step-by-step explanation:
This is the answer because:
1) First, the least common denominator is 30 because 10 x 3 is 30 and 3 x 10 is 30
2) Next, multiply the numerators with the same number you multiplied with the denominator
3 x 3 = 9
2 x 10 = 20
3) Therefore, the answers are:
3/10 = 9/30
2/3 = 20/30
Hope this helps!
Periodic Deposit: $1000 at the end of each year Rate: 4.5% compounded annually Time: 11 years
Answers
The interest amount is $622.85
How to determine the interest amount?The given parameters are:
Principal, P =$1000 Rate, r = 4.5% compounded annually i.e. n = 1Time, t = 11 yearsThe interest amount is calculated as:
I = P(1 + r/n)^(nt) - P
This gives
I = 1000 * (1 + 4.5%/1)^(1 * 11) - 1000
Evaluate the products and the quotient
I = 1000 * (1 + 0.045)^(11) - 1000
Evaluate the sum
I = 1000 * (1.045)^(11) - 1000
Solve
I = 622.85
Hence, the interest amount is $622.85
Read more about compound interest at:
https://brainly.com/question/24924853
#SPJ1
Find the value of the expression
2 + z
for z = 16
Answers
Answer:
2+z= 18
Step-by-step explanation:
Since we know the value of Z is 16 all we have to do is take the z out and add a 16 there. So the problem would look like this. 2 + 16= 18
A rectangular swimming pool is 15 meters long, 10 % meters wide,
and 2 % meters deep. What is its volume?

Answers
Answer:
Volume of the pool is :393.75 cubic metres.
CHECK THE ATTACHEMENTS TOO.
HOPE IT HELPS.
3x+5y=30 complete the table of values
Answers
Answer:
O
Step-by-step explanation:
The graph shows the distribution of the lengths (in seconds) of videos on a popular video-streaming site. The distribution is approximately Normal, with a mean of 264 seconds and a standard deviation of 75 seconds.
A graph titled Streaming Videos has length (seconds) on the x-axis, going from negative 36 to 564. The highest point of the curve is at 264.
What percentage of videos on the streaming site are between 264 and 489 seconds?
0.15%
49.85%
95%
99.7%
Answers
According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.
To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.
First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:
z1 = (264 - 264) / 75 = 0
z2 = (489 - 264) / 75 = 3
Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .
For more such questions on normal distribution
https://brainly.com/question/4079902
#SPJ8
The mean of the data set is 4. Find the absolute deviation of each of the red data values
The absolute deviation of 0 is
The absolute deviation of 3 is
The absolute deviation of 7 is
Answers
The absolute deviation of each of the data values are 4, 1 and 3 respectively.
Absolute deviationThe absolute deviatuon gives the distance of any given value in a dataset to the mean value. The absolute deviation is always positive as it does not consider the side to which the value belongs.
Absolute deviation = |value - mean|
Mean = 4
Absolute deviation of 0 = |0 - 4| = 4
Absolute deviation of 3 = |3 - 4| = 1
Absolute deviation of 7 = |7 - 4| = 3
Hence, The absolute deviation of each of the data values are 4, 1 and 3 respectively.
Learn more on absolute deviation : https://brainly.com/question/29545538
#SPJ1
what do babies and mathematicians have in common
Answers
Answer:
they are both bald???
they are both made like that?
they are both don't know anything :D
I don't know, not even search knowsss
what is that measure of
Answers
Step-by-step explanation:
Hey there!
After looking at the figure we can state that;
X + 53° = 105°. { the exterior angle is equal to the sum of adjacent interior angle}
X = 105° - 53°
Therefore, X = 52°
Hope it helps...
-
3. Which mathematical symbol would best fill in the blank to compare the two real numbers? (4 points)
14
5
Order the set of numbers from least to createst (noints
Answers
=
Step-by-step explanation:
the numbers are equal n if u work out all of them ull get the same answer
Answer:
the value of √7=2.645751311065 and value of 14/5=2.8
so.......
√7<14/5
Help! for brainiest and thanks! + 5 stars VOLUME
please respond with the solution and reasoning if possible!
Answers
Answer:
the volume of the rectangular prism is 448.5 in^3
Step-by-step explanation:
The computation of the volume of the rectangular prism is shown below:
As we know that
The volume of the rectangular prism is
= 7.8 × 11.5 × 5
= 448.5 in^3
It is basically multiplied with the height, width and the length
Hence, the volume of the rectangular prism is 448.5 in^3
Find the area and the circumference of a circle with radius 7 m.
Use the value 3.14 for π, and do not round your answers.
Area=?
Circumference=?
Answers
Answer:
\(Area = 153.938040026m^2\)
\(Circumference= 43.9822971503m\)
Step-by-step explanation:
Area
\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)
Circumference
\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)
X + 2 y > - 12
Y < 6x + 7
Answers
Answer:
subtract 2y from both sides of the inequality
your always welcome cuz my job is to help you
Can u help me plz fast
Answers
Answer:
the answer is smallest to biggest
Step-by-step explanation: