A large apartment complex has 1,500 units, which are filling up at a rate of 10% per month. If the
apartment complex starts with 15 occupied units, what logistic function represents the number of
units occupied over time?
ON(t)
1500
1+114e-0. 101
ON(t)
800
1+114e-0. 101
N(t)
800
1+99e-0. 100
N(t)
1500
1+99e-0. 101
Answers
The logistic function that represents the number of units occupied over time is given by:
\(N(t) = (K / (1 + A * e^(-r*t))),\)
where N(t) is the number of units occupied at time t, K is the carrying capacity (maximum number of units that can be occupied),
A is the initial amount of units occupied, r is the growth rate, and e is the base of the natural logarithm.
In this case, the carrying capacity K is 1500 units, and the initial amount of occupied units A is 15 units. The growth rate r can be calculated as follows:
\(r = ln((10%)/(100% - 10%)) = ln(0.1/0.9) ≈ -0.101\)
Substituting the given values into the logistic function, we get:
\(N(t) = (1500 / (1 + 15 * e^(-0.101*t)))\)
Simplifying further, we get:
\(N(t) = (100 / (1 + e^(-0.101*t))) + 15\)
Therefore, the logistic function that represents the number of units occupied over time is:
\(N(t) = (100 / (1 + e^(-0.101*t))) + 15\), where t is measured in months.
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Related Questions
a boat moves 8 kilometers upstream in the same amount of time it moves 20 kilometers downstream. if the rate of the current is 5 kilometers per hour, find the rate of the boat in still water.
Answers
if the rate of the current is 5 kilometers per hour, The rate of the boat in still water is 15 km/h.
The rate of the boat in still water is the rate of the boat when the current is not affecting its motion, so we can calculate the rate of the boat in still water by subtracting the rate of the current from the rate of the boat while moving downstream and adding the rate of the current to the rate of the boat while moving upstream. In this case, the rate of the boat while moving upstream is 8 km/h, and the rate of the boat while moving downstream is 20 km/h. Since the rate of the current is 5 km/h, we can subtract 5 km/h from 20 km/h to get the rate of the boat in still water, which is 15 km/h.
Rate of boat in still water = Rate of boat while moving downstream - Rate of current + Rate of boat while moving upstream
= 20 km/h - 5 km/h + 8 km/h
= 15 km/h
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Anna drew a scale drawing of the elementary school. The school yard, which is 142 meters long in real life, is 213 millimeters long in the drawing. What is the scale of the drawing?
Answers
Answer:
30,246
Step-by-step explanation:
multiply the two numbers
what is the Square root of -16 
Answers
Answer:
-4
Step-by-step explanation:
Answer:
4i
Step-by-step explanation:
Help me please I need to do this by today
Answers
Answer:
B
Step-by-step explanation:
their is 5 different colors and they look the about the same and you spin it 100 times so
5 divided by 100 you would get 20
T/F With large sample sizes, even small differences between the null value and the true value of the parameter, a difference often called the effect size, will be identified as statistically significant.
Answers
The statement given " With large sample sizes, even small differences between the null value and the true value of the parameter, a difference often called the effect size, will be identified as statistically significant." is true because with a large sample size, the standard error of the mean decreases, making it easier to detect even small differences between the null value and the true value of the parameter.
With a large sample size, the standard error of the mean decreases. This means that the sample mean becomes a more accurate estimate of the true population mean. As a result, it becomes easier to detect even small differences between the null value and the true value of the parameter, which is often referred to as the effect size. The statistical significance of an effect is based on the probability that the observed effect could have occurred by chance alone, and with a large sample size, the likelihood of obtaining a statistically significant result increases.
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6= -2/3n pls someone help
Answers
Answer:
n=-9
Step-by-step explanation:
1a. Explain why chess is not a static game of complete information?
Answers
Chess is not a static game of complete information for several reasons. Firstly, the game is dynamic, meaning that the position of the pieces on the board changes constantly throughout the game.
Unlike in games like Tic Tac Toe or Connect Four, the state of the game at any given point is not fixed, and there are a vast number of possible outcomes. This means that players cannot simply memorize the best moves and outcomes for every situation, as they would in a game of complete information.
Secondly, chess is a game of imperfect information, as both players do not know what moves their opponent will make. Even with a complete understanding of the game's rules, players cannot predict with certainty the moves of their opponent, and must instead make strategic decisions based on their best assessment of their opponent's likely choices.
Finally, chess is a game of hidden information, as players do not know what their opponent is thinking or planning. A player may be able to predict their opponent's next move, but cannot know for sure what their long-term strategy is, making it difficult to make optimal decisions.
Overall, chess is a highly dynamic and complex game that is not static or complete in terms of information. Players must make strategic decisions based on incomplete and uncertain information, making it a challenging and rewarding game for those who play it.
Chess is a strategic board game played between two players, with each player starting with 16 pieces on a 64-square board. The game has been around for centuries and is considered one of the most popular and complex games in the world.
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(-1,4) and (1,-1) find the distance
Answers
Answer:
Step-by-step explanation:
!50 POINTS! (4 SIMPLE GEOMETRY QUESTIONS)
QUESTIONS BELOW:
|
|
\/
Answers
Step-by-step explanation:
Image 1:
Blank 1: (0,5)
Blank 2: (5,0)
Blank 3: (0,-5)
Blank 4: (-5,0)
Image 2:
C, Both B and D only have one line of symmetry. Choice A has more than 2 because you can evenly split the kite by its vertices and its lengths.
Image 3:
B, a regular quadrilateral is named this way because it contains both the point and linear symmetry. By definition, a regular quadrilateral must have 4 equal sides and angles and must have its diagonals bisect each other.
Image 4:
B, Point symmetry only. This is because when flipped upside down, the shape would still look the same. This would not be rotational symmetry because it does not look 100% like the original after rotating it to a certain degree.
21
a
f
h XUY
23
O
O 5 tan t
Ot cot t
Rewrite and simplify g(x) with the given subsititution* (5 Points)
5x
g (x)
2 sint (assume 0 < t < 7)
4-x²
10 sin t
2-2 sin 1
O None of these expressions
O I don't know.
O
24
Find all solutions for t (in radians) of the given equation on the interval [0,2n)* (5 Points)
8 sin 2t + sint = 0
Answers
Answer:
Step-by-step explanation:
Make the substitution first for x:
\(\frac{5(2sint)}{\sqrt{4-(2sint)^2} }\) and simplify a bit:
\(\frac{10sint}{\sqrt{4-4sin^2t} }\). Factor a 4 out of the expression under the radical:
\(\frac{10sint}{\sqrt{4(1-sin^2t)} }\) and pull out the perfect square in 4 as a 2:
\(\frac{10sint}{2\sqrt{1-sin^2t} }\) and divide 10 by 2 to get:
\(\frac{5sint}{\sqrt{1-sin^2t} }\)
Our Pythagorean trig identity tells us that
\(sin^2(t)+cos^2(t)=1\) so
\(1-sin^2(t)=cos^2(t)\). Make that substitution:
\(\frac{5sint}{\sqrt{cos^2t} }\) The denominator can be simplified (the squaring of the square root each cancel out), leaving us with:
\(\frac{5sint}{cost}\). Sin over cos is the same as tangent, so our final simplification is
5tan(t)
find the value of X, y and z
ans: x=50 y= 50 z=50
Answers
The value of x , y and z in the parallel line is 50 degrees.
How to find the angle in parallel line?When parallel lines are crossed by a transversal line, angle relationships are formed such as vertically opposite angles, alternate interior angles, alternate exterior angles, adjacent angles, corresponding angles etc.
Therefore, let's use the angle relationships to find the angle, x, y and z as follows:
Therefore,
x = 360 - 310(sum of angles in a point)
x = 50 degrees
Therefore,
x = y(alternate interior angles)
Alternate interior angles are congruent.
Hence,
y = 50 degrees
Therefore,
x = z(alternate interior angles)
z = 50 degrees.
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can someone please help me with this question.?...
Answers
Answer:
9 4/9 (this is a mixed fraction btw)
Step-by-step explanation:
Question: 3 4/9 + 5 7/9
Add whole numbers:
3+5 = 8
Combine fractions: 4/9 + 7/9 = 13/9
*fix your improper fraction into a proper one*
so, 13/9 turned into mixed fraction is 1 4/9 (to be clear it's not 14, 1 is the whole number and then the fraction 4/9.) *write it like a mixed fraction please*
anyway, we're not done yet..
8+1 4/9
= 9 4/9
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOO SCAMS PLEASE. Find the area of the figure
_____m squared
Answers
Answer:
11700 m²
Step-by-step explanation:
Split the shape in two. One rectangle 150x30 and one triangle 180x80.
Find the areas of both and add them:
A = bh + 1/2bh
A = 150(30) + 1/2(180)(80)
A = 4500 + 7200
A = 11700
Of the range, the interquartile range, and the variance, the interquartile range is least influenced by an outlying value in the data set.
Is that true or false? please explane
Answers
The statement "the interquartile range is least influenced by an outlying value in the data set" is true.
The range is simply the difference between the maximum and minimum values in a data set.
The variance is a measure of the spread of a data set, and is calculated by finding the average of the squared differences between each data point and the mean of the data set.
The interquartile range, on the other hand, is a measure of the spread of the middle 50% of the data set. It is calculated by finding the difference between the upper quartile and the lower quartile.
Because the interquartile range only takes into account the middle 50% of the data, it is less influenced by outliers than the range and variance. This is because outliers can greatly impact the range and variance, but have little effect on the interquartile range.
In conclusion, the interquartile range is a more robust measure of spread for a data set, as it is less influenced by outliers.
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I feel du mb today and i have another test
iliana signed up for a store credit card with no annual fee to get a discount of 12.5 percent off her entire first purchase.
percents
total
100%
if she saved $7.29 on her first purchase by using this credit card, what was the total price of the items before the discount?
$0.91
$1.71
$58.32
$91.13
Answers
Answer:
58.32
Step-by-step explanation:
100÷12.5=8, 7.29×8=58.32.
Find the slope of the line containing the points (4,8) and (4,6) then find the slope of a line parallel to this line and the slope of the line perpendicular to this line.
Answers
To calculate the slope between 2 points we use the following equation:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Replacing the points:
\(\begin{gathered} m=\frac{8-6}{4-4} \\ m=\frac{2}{0} \\ m\to\infty \end{gathered}\)In this case, when we find an infinite slope, it means that it is a line parallel to the Y axis. All parallel lines have the same slope.
For the perpendicular case, the slope is equal to:
\(\begin{gathered} m_{\perp}=\frac{1}{m} \\ m_{\perp}=\frac{1}{\frac{2}{0}} \\ m_{\perp}=\frac{0}{2} \\ m_{\perp}=0 \end{gathered}\)For the perpendicular case, the slope is zero and would equal one parallel to the X axis.
Answer:
not definednot definedzeroStep-by-step explanation:
The question is asking us to find the slope.
First, we will find the slope of the line that passes through (4,8) and (4,6).
We'll use the slope formula:
\(\bf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)
Plug in the data :
\(\bf{m=\dfrac{6-8}{4-4}}\)
\(\bf{m=\dfrac{-2}{0}}\)
\(\bf{m=not\:de fined}\)
If a line's slope is not defined, then it's a vertical line:
\(\rule{1}{350}\)
------
Now, what is the slope of a line that's parallel to the one above? Well, since parallel lines have equal slopes, that one will have an undefined slope too.
As for perpendicular lines, they have slopes that are negative reciprocals of each other. We got that the slope is -2/0. The negative reciprocal of that is 0/2, which simplifies to 0.
Alternatively, you could look at it this way: a horizontal line (a line with zero slope) is perpendicular to a vertical line. So the slope of that line is m = 0.
\(\rule{350}{1}\)
PLS HELP THIS IS DUE TODAY
Factor 48x−12y . Explain how you found your answer.
Answers
Utilizing factorization, the factors of 48x-12y are 2, 2, 3, and 4x-y.
What is factor?Writing a number or other mathematical object as the result of numerous factors—typically smaller or simpler objects of the same kind—is known as factorization or factoring in mathematics. For instance, factorizing the number 15 is 3 5. A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product since the product is divisible by them. Factors can be found using either division or multiplication.
Here,
Factor of 48x-12y,
=12(4x-y)
=2*2*3*(4x-y)
The factors of 48x-12y is 2, 2, 3 and 4x-y using factorization.
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1. What frequency distribution graph is appropriate for scores measured on a nominal scale?
A. Only a histogram
B. Only a polygon
C. Either a histogram or a polygon
D. Only a bar graph
Answers
When scores are measured on a nominal scale, the appropriate frequency distribution graph is a bar graph. Therefore, the correct answer is option D: Only a bar graph.
A nominal scale is the lowest level of measurement, where data is categorized into distinct categories or groups without any inherent order or magnitude. In this type of measurement, the data points are labeled or named rather than assigned numerical values. Examples of variables measured on a nominal scale include gender (male/female), marital status (single/married/divorced), or eye color (blue/brown/green).
A bar graph is a visual representation of categorical data that uses rectangular bars of equal width to depict the frequency or count of each category. The height of the bars represents the frequency or count of observations in each category. The bars in a bar graph are usually separated by equal spaces, and there is no continuity between the bars. The categories are displayed on the x-axis, while the frequency or count is displayed on the y-axis.
A bar graph is particularly useful for displaying and comparing the frequencies or counts of different categories. It allows for easy visualization of the distribution of categorical data and helps to identify the most common or least common categories. The distinct separation of the bars in a bar graph is suitable for representing data measured on a nominal scale, where the categories are discrete and do not have a natural order or magnitude.
Histograms, polygons, and other types of frequency distribution graphs are more appropriate for variables measured on ordinal, interval, or ratio scales, where the data points have numerical values and a specific order or magnitude.
In summary, when scores are measured on a nominal scale, the most appropriate frequency distribution graph is a bar graph. It effectively represents the frequencies or counts of different categories and allows for easy visualization and comparison of categorical data.
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Amit drives a car daily to his office from his home. The distance is 24 km. On a particular day, he left
his home at 8:15 AM, drove for 5 km at a speed of 60 kmph. After that he was stuck in a traffic jam of 1
km during this stretch he could drive only at a speed of 15 kmph.
(Figure shown above is upto scale) Which of these is the closest to the MINIMUM speed at which he
should drive after the traffic jam to ensure that he reaches the office by 8:45 AM?
(Assuming that he can drive the way he wants to, without any traffic jams.
Answers
According to the information, it can be inferred that Amit has to drive at a speed of at least 60 km/h to get to work on time.
How to calculate the speed that Amit must have after the traffic jam to get to work on time?To calculate the speed that Amit must have after the traffic jam to arrive at work on time we must perform the following mathematical operation:
speed = 60 * 5 / 18 m/s = 50 / 3 m/s
distance = 5000m
time = 300 seconds = 5 minutes
According to the above he traveled 5 km distance in 5 minutes. On the other hand to calculate the speed that the rest of the journey must have we must:
speed = 15 * 5 /18 = 25/6 m/s
distance = 1000m
time = 240 seconds = 4 minutes
Distance left = (24km -6km = 18km= 18000m
Time left = 21 minutes = 1260 seconds
Speed = 14.28m/s
Speed = 14.28 × 18/5 kmph
Speed = 51.42 kmph
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What is the value of x?
Answers
All 3 sides of the triangle are identical so each interior angle is 60 degrees.
7x + 4 = 60
Subtract 4 from both sides:
7x = 56
Divide both sides by 7:
x = 8
What is an advantage of using a stem-and-leaf instead of a histogram?
Answers
Answer: Stem and leaf plots have one advantage over histograms-- they display the original data, while histograms merely summarize them.
Step-by-step explanation:
Stem-and-leaf plots contain original data values while histograms do not.
What is Stem-and-leaf plotting?In order to categorise discrete or continuous variables, a stem and leaf plot, also known as a stem plot, is used. Data collection and organisation are done using a stem and leaf plot.
A bar graph is a good analogy for a stem and leaf plot. Because every number in the data is divided into a stem and a leaf, the name stem and leaf was chosen. The number's entirety - all but the final digit—is contained in the stem. There will always be one digit in the number's leaf. A stem and leaf plot's main benefit is the grouping of the data and the display of all the original data.
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the cost of a taxi ride consist of a flat fee plus a cost per mile. if 30 miles cost $20 and 50 miles cost $30, write a linear function that describes the cost of a trip, c, in terms of the number of miles, n. what is the cost per mile and what is the flat fee?
Answers
A linear function that describes the cost of a trip, c, in terms of the number of miles, n will be "c=0.60n+0.67n" and cost per mile is $0.6 and $0.67 and the flat fee is $50.
What is cost per mile?Once you are aware of your mileage and total expenses, calculating cost per mile becomes a straightforward equation. Your cost per mile is calculated by dividing your total expenses by the total number of miles you have driven. Your expenses per mile are influenced by your variable and fixed costs, so you should probably pay closer attention to how much you're shelling out for each mile your drivers cover. You can better understand your primary costs and produce more accurate bids for new contracts by knowing your expenses at this specific level.
Here,
cost per mile,
20/30=$0.67/mile
30/50=$0.60/mile
c=0.60n+0.67n
flat fee,
=$30+$20
=$50
The cost per mile is $0.6 and $0.67, and the flat rate is $50. A linear function that expresses the cost of a trip, c, in terms of the number of miles, n, will be "c=0.60n+0.67n".
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Malika was given a gift card for a coffee shop. Each morning, Malika uses the card to buy one cup of coffee. Each cup of coffee costs $2.50 and the original amount of money on the gift card was $45. Make a table of values and then write an equation for A,A, in terms of x,x, representing the amount money remaining on the card after buying xx cups of coffee.
Answers
The expression representing the amount remaining will be 45 - 2.50x.
Table of values
At x = 1 Amount = 42.50
At x = 2 Amount = 40.
How to illustrate the information?From the information, Malika uses the card to buy one cup of coffee. Each cup of coffee costs $2.50 and the original amount of money on the gift card was $45.
Therefore, the expression representing the amount remaining will be:
A = 45 - (2.50 × x)
A = 45 - 2.50x
At x = 1 Amount remaining will be:
= 45 - 2.50
= 42.50
At x = 2
A = 45 - 2.50x
A = 45 - 2.50(2)
= 40
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One side of a triangle
is three feet less than
the first side. The third
side is five feet less
than twice the first. The
perimeter is 20 feet.
Find the length of the
three sides of the
triangle.
Answers
Answer:
4, 7, 9 units
Step-by-step explanation:
let 'x' = length of 1st side
let 'x-3' = 2nd side
let '2x-5' = 3rd side
perimeter is sum of all sides so we can use this equation to solve for 'x':
x + x-3 + 2x-5 = 20
4x - 8 = 20
4x = 28
x = 7
7-3 = 4
2(7)-5 = 9
The stock at Z-Mart was 2,500 items. The stock went down 10% after the weekend. On Wednesday, 10% more stock was added. How many items are now in stock?
Answers
2250 * 0.9 = 2025 current stock
Which of the following is the solution set of the
problem?
O (-∞, -3)
(-∞, -3]
O
[-3,00)
O (-3,00)
DONE
Answers
The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;
(-∞, -3]How can the solution set of an inequality be found?A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;
2•x + 3 ≤ -3Solving the above inequality, we have;
2•x + 3 ≤ -3
2•x ≤ -3 - 3 = -6
2•x ≤ -6
Therefore;
x ≤ -6 ÷ 2 = -3
x ≤ -3
Which gives;
-∞ < x ≤ -3-∞ < x ≤ -3 in interval notation is (-∞, -3]
The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;
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solving systems by substitution x+y=10
4x-3y=12
Answers
Answer:
x = 6
y = 4
Step-by-step explanation:
x+y=10
4x-3y=12
Times the first equation by three and solve
3x + 3y = 30
4x - 3y = 12
7x = 42
x = 6
Then put 6 back in to solve for y
4(6) - 3y = 12
24 - 3y = 12
-3y = -12
y = 4
Let's check
6 + 4 = 10
10 = 10
So, my answer is correct!
Calculate the volume of oil exiting the pipe every hour: Calculate the volume of oil exiting the pipe every day: Convert cu in/day to cubic feet per day: cu. in/hour cu in/day cu ft/day
Answers
The volume of oil exiting the pipe is approximately 100 cu in/hr, 2,400 cu in/day, and 1.39 cu ft/day when converting cu in/day to cubic feet per day.
To calculate the volume of oil exiting the pipe every hour, you would need to know the flow rate of the oil in cubic inches per hour. Let's assume the flow rate is 100 cubic inches per hour.To find the volume of oil exiting the pipe every day, you would multiply the flow rate by the number of hours in a day. There are 24 hours in a day, so the volume of oil exiting the pipe every day would be 100 cubic inches per hour multiplied by 24 hours, which equals 2,400 cubic inches per day.
To convert the volume from cubic inches per day to cubic feet per day, you would need to divide the volume in cubic inches by the number of cubic inches in a cubic foot. There are 1,728 cubic inches in a cubic foot. So, dividing 2,400 cubic inches per day by 1,728 cubic inches per cubic foot, we get approximately 1.39 cubic feet per day.
Therefore, the volume of oil exiting the pipe is approximately 100 cubic inches per hour, 2,400 cubic inches per day, and 1.39 cubic feet per day.
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over 62 percent of children enrolled in public schools are of non caucasian ancestry. group of answer choices true false
Answers
False. The percentage of children enrolled in public schools that are of non-Caucasian ancestry varies by location and can change over time. According to the National Center for Education Statistics (NCES), as of the 2018-2019 school year, the percentage of public school students who were non-Caucasian was around 50%.
Public School Ethnicity PercentageAccording to the National Center for Education Statistics (NCES), as of the 2018-2019 school year, the percentage of public school students who were non-Caucasian was around 50%. So it is not true that over 62% of children enrolled in public schools are of non-Caucasian ancestry.
It's hard to say why the percentage of non-Caucasian students in public schools is less than 62%. It could be because of a variety of factors, such as demographic changes in the population, socioeconomic factors, or even educational policies. However, it's important to note that the percentage of non-Caucasian students in public schools can vary depending on location and can change over time.
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Plot the image point P under the translation (x,y)→(x-4,y-6).