Population data from three towns is displayed in the table below. Which town has growth that follows an exponential model?
A. Springville
B. Rushmont
C. Trenton
D. None of the above
Answers
The town that has the growth following an exponential model is given by:
C. Trenton.
What is an exponential function?An increasing exponential function is modeled by:
\(A(t) = A(0)(1 + r)^t\)
In which:
A(0) is the initial value.r is the growth rate, as a decimal.From this, we get that the rate of change is a percent, not a constant number. From the table, Springville and Rushmont have constant rates of change of 38 and of 31, respectively, hence their growths are linear. Trenton, otherwise, has an exponential rate of change, hence option C is correct.
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Related Questions
The value of a company's equipment is $33,000 and decreases at a rate of 12% each year. Write an exponential decay function for the value of the equipment after t years.
Answers
Answer:
Below
Step-by-step explanation:
Value = 33000 ( .88)^t each year, t , the value is only 88% ( or in decimal: .88) of the prior year ( 12 % decrease leaves 88% )
if DF=78, DE=5x-9, and EF=2x+10 Find EF
Answers
Answer:
EF = 32
Step-by-step explanation:
DE + EF = DF
5x - 9 + 2x + 10 = 78
5x + 2x + 10 - 9= 78
7x + 1 = 78
7x = 78 - 1
7x = 77
x = 77/7
x = 11
\(EF=2x+10 = 2 \times 11 + 10 \\ EF=22 + 10 \\ \huge \red { \boxed{EF=32}}\)
Simplify the product of (3+ 173-17) that you
found in the previous step.
Answers
Answer: its 159
Step-by-step explanation: just simplify it
Answer:
the answer must be 159
Step-by-step explanation:
3 + 173 - 17=159
If F(x) = 4x - 1 and G(x) = x2 + 7, what is G(Fx))?
Answers
Step-by-step explanation:
gof(x)= g(f(x))
gof(x)= g(4x-1)
gof(x)= (4x-1)²+7
gof(x)=16x²-8x+1+7
gof(x)=16x²-8x+8
an estate agent earns 7% commission on the selling price of a farm . Calculate the commission that he will earn on a farm that was sold for 2,8 million
Answers
The commission of the agent is 196000
How to determine the commission of the agentFrom the question, we have the following parameters that can be used in our computation:
Commission percentage = 7%
Earnings = 2.8 million
Using the above as a guide, we have the following:
Commission = 7% * Earnings
Substitute the known values in the above equation, so, we have the following representation
Commission = 7% * 2.8 million
Evaluate
Commission = 196000
Hence, the commission is $196000
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which of the following data sets would most likely have a negative association and a correlation coefficient between 0 and -1? a.) average seasonal temperature in the united states; air-conditioning costs for homes in the united states b.) number of miles driven by paul; number of gallons of gas used by paul's car c.) swimsuit sales throughout the year; sunscreen sales throughout the year d.) steepness of the appalachian trail; john's speed while hiking the appalachian trail
Answers
The correct option is c.) swimsuit sales throughout the year; sunscreen sales throughout the year.
Correlation coefficient is a measure of the strength and direction of a relationship between two variables. The correlation coefficient varies from -1 to +1. A correlation of -1 means that a negative association between two variables is perfect, while a correlation of +1 means that there is a positive association between two variables that is perfect. The closer the correlation coefficient is to 0, the weaker the association between two variables is. A correlation coefficient of 0 means that there is no relationship between two variables.From the given options, the data set that is most likely to have a negative association and a correlation coefficient between 0 and -1 is (c) swimsuit sales throughout the year and sunscreen sales throughout the year.The reason behind this is that when it's summer or a hot season, people tend to buy more swimsuits than sunscreen. And when it's winter or a cold season, people tend to buy more sunscreen than swimsuits. Hence, the correlation coefficient between swimsuit sales throughout the year and sunscreen sales throughout the year is most likely to be between 0 and -1 because there is an inverse relationship between these two variables.
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Answer:Steepness of Appalachian Trail; John’s Speed while hiking the Appalachian Trail
Step-by-step explanation:
Annuity present values what is the value today of an annuity of $7,200 per year, with the first cash flow received three years from today and the last one received 25 years from today? use a discount rate of 7.4 percent.
Answers
The value today of the annuity is approximately $96,997.76.
To calculate the present value of an annuity, we can use the formula:
P = C × [(1 - (1 + r)^(-n)) / r]
Where:
P is the present value of the annuity
C is the cash flow per period ($7,200 in this case)
r is the discount rate (7.4% or 0.074 as a decimal)
n is the total number of payment periods (25 - 3 = 22 years)
Plugging in the values into the formula, we get:
P = $7,200 × [(1 - (1 + 0.074)^(-22)) / 0.074]
Calculating this expression will give us the present value of the annuity. Let's calculate it:
P ≈ $7,200 × [(1 - (1.074)^(-22)) / 0.074]
P ≈ $7,200 × (1 - 0.2481) / 0.074
P ≈ $7,200 × 13.4778
Therefore, the value today of the annuity is approximately $96,997.76.
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Needing a answer ASAP! TYYY
Answers
Answer: 840 feet squared
Step-by-step explanation: 24ft * 35ft = 840
(Hope it helps)
what is 5 to the tenth power times 8 to the tehth power
Answers
Answer: 1083507449
Step-by-step explanation: do the multiplication one by one
Answer:
Step-by-step explanation:\(5^{10}\times8^{10}\)is the given question. If we expand the equation then we get \(5\times5\times...\times 5\times8\times8...\times8=(5\times8)^{10}=40^{10}=1048576\times10^{10}\)
Final Answer: So the final answer of this question is \(1048576\times10^{10}\).
Combine like terms: s ⋅ s ⋅ s ⋅ s ⋅ s
What would you get if you combined them?
1. 5s
2. s5
Answers
Answer:
s5
Step-by-step explanation:
Answer:
Option 2, assuming that it is \(s^5\).
Step-by-step explanation:
s * s * s * s * s
S gets multiplied by itself 5 times. We can rewrite this expression as one with an exponent. Since 's' is getting multiplied 5 times, the exponent would be 5.
\(\huge\boxed{s^5}\)
The first option would multiply the value of 's' times 5, which is not the same thing as the expression shown.
5s = 5 * s
Option 2 should be the correct answer.
Hope this helps.
A solid shape is made from centimetre cubes.
Here are the plan, side elevation and
Centimetre cubes are added to
front elevation of the shape.
make this cuboid.
Plan Side elevation Front elevation
40
4 cm
3 cm
How many cubes are added?
Write your final answer as,... cubes are added.
Answers
Answer:
30 cubes are added
Step-by-step explanation:
The image of the solid shape is attached.
From the Plan, Side elevation and Front elevation, the number of cubes needed to make the shape is 18 blocks. From the front elevation, 12 blocks is needed (4 * 3 blocks) while from the side elevation 6 blocks are needed given a total of 18 blocks.
The number of blocks needed to make the cuboid = 4 * 4 * 3 = 48 cm cubes.
Therefore the number of cubes to be added = 48 cubes - 18 cubes = 30 cubes.
30 cubes are added
The number of cubes that are added is 30.
What is Cube?
A cube's form is occasionally referred to as "cubic." Another way to put it is that a block with uniform length, width, and height is regarded to be a cube. It also contains 12 edges and 8 vertices, with 3 of the edges coming together at a single vertex point. Examine the illustration below, identifying the faces, edges, and vertices. It is also referred to as a right rhombohedron, an equilateral cuboid, and a square parallelepiped. One of the platonic solids, the cube is a convex polyhedron with all of its faces being square. The cube has either cubical symmetry or octahedral symmetry. The square prism is a specific instance of a cube.
From the Plan, Side elevation, and Front elevation, the number of cubes needed to make the shape is 18 blocks. From the front elevation, 12 blocks are needed (4 * 3 blocks) while from the side elevation 6 blocks are needed given a total of 18 blocks.
The number of blocks needed to make the cuboid
= 4 * 4 * 3 = 48 cm cubes.
Therefore the number of cubes to be added
= 48 cubes - 18 cubes
= 30 cubes.
30 cubes are added.
Hence, The number of cubes that are added is 30.
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Give an example of a function that is a dilation and a reflection of the parent function.
Answers
Answer: f(x) = -1/2(x+3)
Example: g(x) = -1/2(-x-3)
This function is a dilation and a reflection of the parent function f(x) because when graphed, the two functions have the same shape but are reflected over the y-axis and are half the size of the original.
PLEASE ANSWER THIS ASAP, 15 POINTS!
Answers
Answer:
The second one the amount of monthly sales
Step-by-step explanation:
The 2000 is the total
explanation:
What is 254, 920 rounded to the nearest ten thousand?
250,000
O 254,000
O 255,000
260,000
Answers
Answer: the 3rd one
Step-by-step explanation:
Answer:
255,000
Step-by-step explanation:
if we look there is already 254,000 so now we look at the hundreds place.
In the hundreds place there is 920 witch is closer to 1,000
so 254,000 plus 1,000 is 255,000
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3,12 = Find the absolute extrema of f(x) on the interval [-3, 4). x - 6 maximum, fe ) = ; minimum, fi ) =
Answers
The absolute maximum is -2 at x = 4, and the absolute minimum is -9 at x = -3.
To find the absolute extrema of f(x) on the interval [-3, 4), we need to first find the critical points and endpoints of the function. The critical points are the points where the derivative of the function is equal to 0 or undefined.
1. Find the derivative of f(x): f'(x) = 1
Since the derivative is a constant, there are no critical points.
2. Evaluate the function at the endpoints of the interval:
f(-3) = -3 - 6 = -9
f(4) = 4 - 6 = -2
3. Compare the values to determine the maximum and minimum:
The maximum value of f(x) on the interval is -2 at x = 4: f(4) = -2.
The minimum value of f(x) on the interval is -9 at x = -3: f(-3) = -9.
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I need help with this question that’s for my geometry class.
Answers
By Euclid's axioms we proved that AC=BD
Things which are equal to the same thing are also equal to one another.
If equals be added to equals, the wholes are equal.
If equals be subtracted from equals, the remainders are equal.
Things which coincide with one another are equal to one another.
The whole is greater than the part.
given that , B is in between A and C
and C is between B and D
and also given that AB=CD
let AC=AB+BC .......(1)
BD=BC+CD ........(2)
subtract 1-2
we get, AC-BD=AB+BC-BC-CD
AC-BD=AB-CD
we know AB=CD so we get
AC-BD=0
AC=BD
Hence, Proved
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Answer:
We established that AC=BD using Euclid's axioms.
Step-by-step explanation:
Things that are equivalent to one another are also equivalent to the same object.
The wholes are equal if equals are added to equals.
The remainders are equal when equals are subtracted from equals.
Things are equivalent to one another if they occur simultaneously.
A component cannot possibly equal the whole.
given that , B is in between A and C
and C is between B and D
and also given that AB=CD
let AC=AB+BC .......(1)
BD=BC+CD ........(2)
subtract 1-2
we get, AC-BD=AB+BC-BC-CD
AC-BD=AB-CD
we know AB=CD so we get
AC-BD=0
AC=BD
Hence, Proved
I need help please I’m having a breakdown
Answers
I don’t know how to answer this question are when I dilate it across the origin where it’s supposed to go
Answers
Answer:
I think the answer is (-6,2)
help me please.. im doing 8th grade math with pythagorean theorem i really need help please 10 points!!
Answers
Answer:78.1 is the answer and B or D will be your answer hope this helped
Step-by-step explanation:
To rent a certain meeting room, a college charges a reservation fee of $44 and an additional fee of $7.40 per hour. The history club wants to spend less than
$73.60 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your Inequality for t.
Answers
Answer:
t<4
Step-by-step explanation:
Help me with this please! :D
Answers
Answer:
#1=2
#2= 14
#3= 26
#4= 32
Step-by-step explanation:
y=6x-16
Lets use the first one as an example: since x is our variable we can plug in 3 into the equation to make y=(6x3)-16. 6x3=18, so y=18-16 which is 2. You can plug in any other number to find your answer as long as you follow the pattern in the equation.
y=6(3)-16
y=2
y=6(5)-16
y=14
y=6(7)-16
y=26
y=6(8)-16
y=32
So your answers for chart: 2, 14, 26, 32
hwlp me with this one plzzzzzzzzzzzz
Answers
Answer:
x=1
Step-by-step explanation:
I'm not positive, it looks like a trick question but id say x=1 bc 17 × 1 is 17 and 17 is greater than -17 but then again any number greater than 1 such as 2,3,4, or 5 could work
x > -1
ssume that you have a sample of n1 = 8, with the sample mean X overbar 1= 42, and a sample standard deviation of S1 = 4, and you have an independent sample of n2=15 from another population with a sample mean of X overbear 2 = 34 and a sample standard deviation of S2 = 5.
What assumptions about the two populations are necessary in order to perform the pooled-variance t test for the hypothesis H0: μ1=μ2 against the alternative H1: μ1>μ2 and make a statistical decision?
Choose the correct answer below.
A.It is necessary to assume that the populations from which you are sampling have equal population means and positive standard deviations.
B.It is necessary to assume that the populations from which you are sampling have negative t Subscript STATtSTAT test statistics and unequal sample means.
C. It is necessary to assume that the populations from which you are sampling have independent normal distributions and equal variances.
D. It is necessary to assume that the populations from which you are sampling have unequal variances and equal sizes.
Answers
(c) is the correct option , The assumption necessary to perform the pooled-variance t-test for the given hypothesis is that the populations from which the two samples,
are drawn have independent normal distributions and equal variances. This assumption is required for the validity of the test, as it allows the use of the pooled variance estimate in calculating the test statistic.
In addition to the above assumption, it is also important to verify the conditions for the t-test, such as random sampling, normality of the sampling distribution, and independence of the samples.
These assumptions ensure the validity of the test and the accuracy of the conclusions drawn from it.
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If M(2,3) is reflected in the line y=4, then M' is (6,3)
TRUE OR FALSE???
Answers
Answer:
It is false
Step-by-step explanation:
It's false since M' should be (2,5)
(6,3) is point M reflected about the axis or line: x = 4.
⚠️HELP PLS AND THANK U!! Will give brainliest if you give a good explanation! Have a good weekend! ⚠️The population of fish in a local bay is modeled by the equation P(t) = 2,500(1.025)', where t represents the
number of years since 2,500 fish were first measured. Based on this equation, which of the following
represents the percent the population will grow in a decade?
(1) 2.5%
(3) 28%
(2) 25%
(4) 32%
Answers
Answer:
Its 25%
Step-by-step explanation:
The percent population that will grow in a decade is 28% option (3) 28% is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x
where a is a constant and a>1
We have:
\(\rm P(t) = 2,500(1.025)^t\)
Plug t = 10
\(\rm P(10) = 2,500(1.025)^{10}\)
P(10) = 3200
Percent grow = [(3200 - 2500)/2500]×100
Percent grow = 28%
Thus, the percent population that will grow in a decade is 28% option (3) 28% is correct.
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pls help me with this problem
Answers
Answer:
Step-by-step explanation:
Hi
Answer:
The mean price for this sample is $1,385.00
Step-by-step explanation:
⭐What is the "mean" of a sample?
The mean of a sample is another word for the average of said sampleYou add up all the values and divide that sum by the number of values presentTo find the mean for this data, we need to divide the sum of the prices for the computers bought by the total number of computers bought.
Sum of the prices for the computers:
\(14(1400)+12(1050)+5(2150)\)
\(= 19,600 + 12,600 + 10,750\)
\(= 42,950\)
Total number of computers bought:
\(14+12+5\)
\(= 31\)
Mean price:
\(\frac{42,950}{31}\)
\(= 1,385.00\)
Who was in Paris ???? ?
Who?
Answers
Answer:
N.ice I.ndividual G.iven G.ood A.spects S.eriously was in paris
Step-by-step explanation:
Answer:
the French
Step-by-step explanation:
list all the possible order you can have
Answers
wala ako pake sau
Step-by-step explanation:
wala ako pake sau
How will the input of F x 11 affect the graph of f/x x explain?.
Answers
The graph of f(x) = x will shift to the left 11 units because negative 11 is being subtracted from x which will be the required transformation.
Taking into account that f(x) = x becomes f(x) = x+11
This shows a horizontal displacement of x of 11 units to the left.
This is true since the original graph's origin is the x intercept. for a new purpose
x's intercept is -11.
The option it contains is the right one.
11 units to the left, I shifted.
x is taken away from by a negative -11.
Transform the coordinate plane's shapes by translating, rotating, or reflecting them. In the 19th century, Felix Klein introduced transformational geometry, a novel perspective on geometry. The majority of proofs in geometry are built upon object transformations. Any image in a coordinate plane can be altered using transformations.
Disclaimer : the complete question is :
How will the input of f(x + 11) affect the graph of f(x) = x? Explain.
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Austen is making smoothies. Each smoothie needs 1/4 cup of yogurt. He has 3 1/2 cups of yogurt. How many smoothies can he make?
Answers
Lets first turn 3 1/2 cups into an improper fraction, which would be 7/2. Now, in order to find how many 1/4 s are in 7/2, we will have to convert the denominator. What times 7/2 would equal 4 in the denominator? That would be 2. So, 7/2 x 2/2 would be 14/4.
Now to the fun part! How many 1/4 cups are in 14/4 cups? As observed, he can make 3 smoothies out of 14/4 cups of yogurt.
Answer:
14 smoothies
Step-by-step explanation:
trust me