Answer:
The molar mass of a chemical compound is defined as the ratio between the mass and the amount of substance of any sample of said compound.
unit of measurement: g/mol.
A mole is the amount of substance that contains as many elementary entities as there are atoms in 12g of carbon-12.
Avogadro's number= 6.02*10^23 particles.
What is the lateral surface area
Answer:
A- 304.8 cm²
Step-by-step explanation:
Find the area for the 4 sides (excluding both the top and base).
(2(12×7.5))+(2(12×5.2)) = 302.8
Answer:
A. 304.8 cm²
Step-by-step explanation:
The rectangular prism has a total of 6 rectangular sides
~ two at the bottom and top both of equal dimensions 5.2 x 7.5
~ two at the front and back both of equal dimensions 12 x 7.5
~ two one on the left side and the other on the right side both of equal dimensions 12 x 5.2
The question is asking only for the lateral surface area. This means we ignore the top and bottom surfaces
For each of the other two pairs of rectangles, the surface area is nothing but the product of the dimensions for each rectangle
Therefore area of all the 4 rectangles is
2(5.2 x 7.5 + 12 x 5.2)
We multiply by 2 since there are 2 of each rectangular surface
2(5.2 x 7.5 + 12 x 5.2) = 304.8 cm² ANSWER
Three fair coins are tossed. How many different outcomes will
there be?
Answer:
just 2 outcomes
Step-by-step explanation:
no matter how often you throw it, there are only two sides available
The function f(x) = 1.85x2 models the cost of a square carpet, where x is the length in feet. Find the average rate of change for f, to the nearest tenth, over the interval 10 ≤ x ≤ 20.
To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.
The function value at x = 10 is:
f(10) = 1.85(10)^2 = 185
The function value at x = 20 is:
f(20) = 1.85(20)^2 = 740
The length of the interval is:
20 - 10 = 10
So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:
(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5
Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.
Expand and simplify 3(6y+5) — 2(4y — 1) pleaseee lots of points for answering
Answer:
10y + 17
Step-by-step explanation:
1) (given): 3(6y+5) — 2(4y — 1)
2) (distributive property): 18y + 15 - 8y + 2
3) (combine like terms): 10y + 17
Carly ordered shoes online from her favorite store. The shipping costs for her
purchase is $5.50. Her total cost for the entire purchase is $60.75. Which
equation below could be used to calculate s, the cost of her shoes without
shipping included?
The equation to calculate the cost of her shoes without shipping included is: x = 55.25
The equation to calculate s, the cost of her shoesLet x be the cost of Carly's shoes.
The problem states that the total cost of her purchase (including shoes and shipping) is $60.75, so we can set up the equation:
x + 5.50 = 60.75
To find the cost of her shoes without shipping, we need to isolate x. We can do this by subtracting 5.50 from both sides:
x + 5.50 - 5.50 = 60.75 - 5.50
Simplifying:
x = 55.25
Therefore, the equation to calculate the cost of her shoes without shipping included is: x = 55.25
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party opposed to expanding slavery (2 words, section 1)
Answer:
The party opposed to expanding slavery in the United States was the Republican Party. It was actually formed to go against slavery.
which equation can be used to find the value of x x=60 + 40
Answer:
x = 50
Step-by-step explanation:
2x = 60+40
simply 60 + 40 to 100
so 2x = 100
and then divide 2 to get it to the other side.
like this = x = 100/2
then divide 100 by 2 and get 50
so x=50
Two students began a proof of the law of sines.
C
b
A
h
Student I
sin(A)
sin(B)
T
bsin(A) = h
asin(B) = h
a
bsin(A)= asin(B)
sin(A)=sin(B)
b
Student 2
sin(A) =
sin(B) =
-1/2
asin(A)= h
bsin(B) = h
asin(A)=bsin(B)
sin(A)=sin(B)
B
Which student correctly started the proof, and what should that student do next to complete the proof?
Answer: Hi! Read the explanation below:
Brainliest?
Step-by-step explanation:
Student 1 correctly started the proof.
To complete the proof using the law of sines, student 1 should use the fact that the sum of angles in a triangle is 180 degrees to obtain an expression for angle C, and then use the fact that the sum of the lengths of the opposite sides of an angle in a triangle is equal to the length of the third side to obtain an expression for side c in terms of sin(A) and sin(B).
Here's the complete proof:
Starting with Student 1's work:
bsin(A) = h
asin(B) = h
Using the fact that the sum of angles in a triangle is 180 degrees:
C = 180 - A - B
Using the fact that the sum of the lengths of the opposite sides of an angle in a triangle is equal to the length of the third side:
a/sin(A) = b/sin(B) = c/sin(C)
Substituting in the expressions for c and sin(C) in terms of sin(A) and sin(B):
a/sin(A) = b/sin(B) = 2h/(sin(A)+sin(B))
Simplifying:
a = 2hsin(A)/(sin(A)+sin(B))
b = 2hsin(B)/(sin(A)+sin(B))
c = 2hsin(C)/(sin(A)+sin(B)) = 2hsin(180-A-B)/(sin(A)+sin(B)) = 2h*sin(A+B)/(sin(A)+sin(B))
Therefore, the law of sines is:
a/sin(A) = b/sin(B) = c/sin(C) = 2h/(sin(A)+sin(B))
Is a triangle with sides of 5 meters, 12 meters, and 13 meters a right triangle? Explain/Show your work.
Answer:
[tex]\huge\boxed{\sf Yes.}[/tex]
Step-by-step explanation:
In a right angled triangle, the longest side is called hypotenuse.
So,
Hypotenuse = 13 m
The rest are:
Base = 5 m
Perpendicular = 12 m
Using Pythagoras Theorem to verify:
[tex](Hypotenuse)^2=(Base)^2+(Perpendicular)^2[/tex]
Put the given data
(13)² = (12)² + (5)²
169 = 144 + 25
169 = 169Since, both left hand side and right hand side are equal, this means the triangle is a right-angled triangle.
[tex]\rule[225]{225}{2}[/tex]
100 Points! Multiple choice algebra questions. For questions 3 and 4, use f(x)=x+5 and g(x)=2x.
Find (f+g) (x).
Find (f·g) (x).
Photo attached. Thank you!
3. The value of the function (f+g)(x) is option A: 3x+5. 4. The value of: (f·g)(x) is Option C: 2x² + 10x.
What is sum and product of function?The function that results from summing the results of the two functions for a specific input value x is known as the sum of two functions (f+g)(x). To put it another way, we just add the function values at each x-axis point. The function that results from multiplying the outputs of the two functions for an input value x is known as the product of two functions (fg)(x). In other words, we multiply the values of the function at each x-axis position. Two functions can be combined or multiplied to create new functions, each of which has a unique set of attributes.
Given that, f(x)=x+5 and g(x)=2x.
3. The value of (f+g)(x) is:
f(x + g) (x)= f(x) + g(x) = (x+5) + 2x = 3x+5
4. The value of:
(f·g)(x) = f(x) · g(x) = (x+5) · 2x = 2x² + 10x
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A group of employees were asked whether they drive or walk to work.
The probability of being a male and derive from a group of employees were asked whether they drive or walk to work is equal to 0.27.
From the table representing the probabilities of a group of employees.
Employees divided into two groups,
One is male .
Second is female.
While going for work there are two ways .
Derive to walk.
Walk to work.
Different probabilities are as follow,
Male and derive 0.27
Male and walk = 0.27
Female and derive = 0.23
Female and walk = 0.23
The required probability of being a male and derive
= 0.27.
Therefore, the probability of derive and male is equal to 0.27.
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If n ∥ m, which of the following statements are true? Select all that apply.
Answer:
Step-by-step explanation:
Parallel lines would never intersect no matter how long the lines go on for because they have the same slope. That will always be true.
Select the correct answer.
A circle with center O (0,0) has point B (4,5) on its circumference, which is joined by a line to O.
What is the general form of the equation for the given circle centered at O(0, 0)?
A.
x2 + y2 + 41 = 0
B.
x2 + y2 − 41 = 0
C.
x2 + y2 + x + y − 41 = 0
D.
x2 + y2 + x − y − 41 = 0
Answer:
B is the correct answer
Step-by-step explanation:
The general form of the equation for a circle centered at the origin (0, 0) is x^2 + y^2 = r^2, where r is the radius of the circle. The radius can be calculated as the distance between the center O (0, 0) and point B (4, 5) on its circumference using the distance formula: r = sqrt((x2 - x1)^2 + (y2 - y1)^2) = sqrt((4 - 0)^2 + (5 - 0)^2) = sqrt(16 + 25) = sqrt(41). Therefore, the equation for the given circle centered at O (0, 0) is x^2 + y^2 = 41. The correct answer is B. x^2 + y^2 − 41 = 0.
Find the indicated functional value for the ceiling function: f(−0.75)?
A. -1
B. 1
C. 2
D. 0
The ceiling function, denoted by ⌈x⌉, gives the smallest integer that is greater than or equal to x. Therefore, ⌈-0.75⌉ is the smallest integer that is greater than or equal to -0.75.
Since -1 is the smallest integer that is greater than or equal to -0.75, we have:
⌈-0.75⌉ = -1
Therefore, the functional value for the ceiling function at -0.75 is -1.
The answer is option A.
Work backwards, using the Distributive Property, to check the factors and identify the original polynomial of this factored function: (2 + 5)( + 7)
eading Tools
Two students began a proof of the law of sines.
C
A
Student I
sin(A)=
Sin(B) =
bsin(A) =h
asin(B) = h
bsin(A)= asin(B)
sin(A)=sin(B)
b
Student 2
sin(A)=
sin(B) ==
asin(A) = h
bsin(B) = h
B
asin(A)=bsin(B)
sin(A)=sin(B)
a
Which student correctly started the proof, and what should that student do next to complete the proof?
Answer: no answer
Step-by-step explanation:
The diagram represents two statements:p and q Which represents regions a,b,c
The statement for regions A, B, C are "Elements in P but not in Q." "Elements in both P and Q." and "Elements in Q but not in P." respectively
Describing the statements of the regions of A, B and CThe descriptions of the regions A, B and C from the Venn Diagram that complete the question are as follows:
Region A:
This region represents the set of elements that belong only to P, but not to Q i.e. A is the set of elements that are in P but not in Q.
Region B:
This region represents the set of elements that belong to both circle P and circle Q. i.e. B is the intersection of sets P and Q.
Region C:
This region represents the set of elements that belong only to circle Q, but not to circle P. i.e. C is the set of elements that are in Q but not in P.
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need some help setting up and solving these equations
The quantity of ounce for each kind of food that will be used would be given as follows;
Food A= 2.18oz
How to calculate the quantity of ounce for each number of foods?For food A;
The calories in an Oz = 100 cal
Total calories in the whole food = 1100cal
The equivalent of cal that should be in 2400;
= X
That is;
100= 1100
X = 2400
Make X the subject of formula;
x= 100×2400/1100
X = 240000/1100
X = 218
if 1 Oz = 100 cal
X Oz = 218
X Oz = 218/100
= 2.18oz
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square root of 54 (simplified not 7.5)
Answer:
Step-by-step explanation:
7.3 is the anwser
PROJECTILE A firework is launched from the ground. After 4 seconds, it reaches a
maximum height of 256 feet before returning to the ground 8 seconds after it was
launched. The height of the firework f(x), in feet, after x seconds can be modeled
by a quadratic function.
a. What are the zeros and vertex of f(x)?
b. Sketch a graph of f(x) using the zeros and vertex of the function. Interpret the
key features of the function in the context of the situation.
c. Write a quadratic function that represents the situation.
(a) The vertex is (6, 144),(b) When the fireworks are launched at time x = 0 and return to the earth at time x = 12 seconds, respectively, these times are denoted by zeros in the function,.(c) this is the quadratic function that represents the situation f(x) = -4 + 144.
How to deal with this problem?a. To find the zeros and vertex of the quadratic function, we need to first write it in the standard form:
[tex]f(x) = ax^2 + bx + c[/tex]
where a, b, and c are constants.
The vertex of the function is given by:
x = -b/2a
Since the quadratic function is symmetrical around the vertex, we know that the time it takes to reach the maximum height is halfway between the launch time and the time it hits the ground again. So, the time to reach maximum height is (4 + 8)/2 = 6 seconds.
Therefore, we can set up a system of equations using the information given:
f(4) = 0 (the firework is launched from the ground)
f(6) = 256 (the firework reaches its maximum height)
f(12) = 0 (the firework hits the ground again)
Plugging in the values of x and f(x), we get:
16a + 4b + c = 0
36a + 6b + c = 256
144a + 12b + c = 0
Solving this system of equations, we get:
a = -4
b = 48
c = 0
Therefore, the quadratic function that represents the situation is:
[tex]f(x) = -x^2 + 48x[/tex]
The zeros of the function can be found by setting f(x) = 0:
[tex]f(x) = -4x^2 + 48x[/tex]
0 = x(-4x + 48)
x = 0 (the firework is launched from the ground)
x = 12 (the firework hits the ground again)
The vertex can be found using the formula:
x = -b/2a = -48/(-8) = 6
So the vertex is (6, 144).
b. Using the zeros and vertex, we can sketch a graph of f(x):
The quadratic function's graph
Considering the function's primary characteristics in light of the circumstances:
The peak height of the fireworks, which occurs at x = 6 seconds and f(6) = 256 feet, is represented by the function's vertex.
The firework is at ground level at x = 0 (launch time) and x = 12 seconds (when it reaches the ground again), which are represented by zeros in the function.
The graph's form suggests that the firework rises before falling again, which is consistent with the scenario given.
c. The quadratic function that represents the situation is:
[tex]f(x) = -4x^2 + 48x[/tex]
This function can be simplified by factoring out -4:
[tex]f(x) = -4( x^2- 12x)[/tex]
Completing the square:
[tex]f(x) = -4( x^2- 12x + 36 - 36)[/tex]
[tex]f(x) = -4( (x^2-6)- 36)[/tex]
[tex]f(x) = -4(x^2-6) + 144[/tex]
This form of the function shows that the vertex is (6, 144), and that the maximum height is 144 feet.
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Dilate figure XYZ by a scale factor of 1/4 X(-2,4) Y(-4,-4) Z(4,2)
Therefore , the solution of the given problem of expressions comes out to be points X(-2,4), Y(-4,4), and Z(4,2) would be X'(-2,4), Y'(-3,-1), and Z'(0,3).
What is expression?Instead of using random estimates, shifting variable numbers should be employed instead, which can be growing, diminishing, or blocking. They could only help one another by transferring items like tools, knowledge, or solutions to issues. The explanations, components, or mathematical justifications for strategies like expanded argumentation, debunking, and blending may be included in the explanation of the reality equation.
Here,
Figure XYZ will be scaled down by 1/4, with the centres being X(-2,4), Y(-4,4), and Z(4,2)
=> Old_x - Center_x - Scale_factor * New_x + Center_x
=> Scale factor * (Old y - Centre y) + Centre y = New y
Regarding X:
=> New_x = 1/4 * (-2 - (-2)) + (-2) = -2
=> New_y = 1/4 * (4 - 4) + 4 = 4
Therefore, X'(-2,4) is the image of point X after dilation.
Regarding Y:
=> New_x = 1/4 * (-4 - (-2)) + (-2) = -3
=> New_y = 1/4 * (-4 - 4) + 4 = -1
Therefore, Y'(-3,-1) is the image of point Y following dilation.
Regarding Z:
=> New_x = 1/4 * (4 - (-2)) + (-2) = 0
=> New_y = 1/4 * (2 - 4) + 4 = 3
Therefore, Z'(0,3) is the image of point Z after dilation.
As a result, the image points for the dilated figure XYZ with the centre points X(-2,4), Y(-4,4), and Z(4,2) would be X'(-2,4), Y'(-3,-1), and Z'(0,3).
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help me and thank you
Answer:
Option A, is 8x^6.
Step-by-step explanation:
4x³ × 2x³ = (4 × 2) x^(3+3) = 8x^6
Therefore, 4x³ × 2x³ simplifies to 8x^6.
You're welcome. :)
A) 8x⁶
Step-by-step explanation:Exponents have different rules for operations such as multiplication.
Multiplying Coefficients
When multiplying different terms with exponents, the first thing we should do is multiply the coefficients. Even though there are variables with different exponents, we still multiply the coefficients like normal. This means that the coefficient of the answer should be 8 because 4 * 2 =8. However, you should note that you can only multiply the coefficients and simply the expression if the terms have the same variable.
Multiplying Exponents
To multiply 2 terms with exponents, you should add the exponents together. For example, x⁴ * x⁶ = x¹⁰. No matter what the coefficients are, if the variables are the same, then this method will work. This means that x³ * x³ = x⁶. Then, combine this with the coefficient from before and 4x³ * 2x³ = 8x⁶.
a truck costs $30,000 and has an estimated life of 5 years with a residual value of $10,000. Prepare a depreciation schedule using the declining-balance method at twice the straight-line rate
The depreciation schedule for this truck using the declining-balance method at twice the straight-line rate are $24,000, $33,600, $39.744, $43,502 and $45,248
To create the depreciation schedule, we'll start with the cost of the asset and subtract the depreciation for each year. The depreciation for each year is calculated by multiplying the declining-balance rate by the book value of the asset at the beginning of the year.
The book value is simply the cost of the asset minus the accumulated depreciation. So in year 1, the book value is $30,000, and the depreciation is $8,000 (the declining-balance rate) times $30,000, which is $24,000. This means that the accumulated depreciation at the end of year 1 is $24,000.
To calculate the book value at the end of year 1, we simply subtract the accumulated depreciation ($24,000) from the cost of the asset ($30,000), which gives us $6,000.
=> $30000 - $6000 = $24000
This process is continued for the next five years that can be illustrated through the table.
Year Cost Depreciation Accumulated Depreciation Book Value
1 30,000 24,000 24,000 6,000
2 6,000 9,600 33,600 -3,600
3 -3,600 6,144 39,744 -9,744
4 -9,744 3,758 43,502 -13,502
5 -13,502 1,746 45,248 -15,248
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Use the table, which shows the number of sofas sold at a furniture store over 5 months. The number of sofas sold in June is 597.
Furniture Store Sofa Sales
January 255
February 234
March 263
April 229
May 248
How does the median change with the new piece of data?
We know that with the new piece of data for the month of June the median is increased by 3.5 which is now 251.5.
What is the median?The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory.
It could be referred to as "the middle" value for a data set.
A data set's median value is the point where 50% of the data points have values that are lower or equal to it, and 50% of the data points have values that are higher or equal to it.
Arrange in ascending order:
229 234 248 255 263
When, odd terms are there then the middle term is the median:
Median: 248
New Median:
229 234 248 255 263 597
When there are even terms we will add the middle two terms and divide it by 2 as follows:
248+255/2
Median: 251.5
Median change: 251.5 - 248 = 3.5
Therefore, we know that with the new piece of data for the month of June the median is increased by 3.5 which is now 251.5.
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x+y=12 and2x+5y=36 what are the values of x and y
The values of x and y that satisfy the system of equations are x = 8 and y = 4.
What are the values of x and yTo solve for the values of x and y in the system of equations:
x + y = 12
2x + 5y = 36
We can use the method of substitution. Solving the first equation for x, we get:
x = 12 - y
We can substitute this expression for x into the second equation and solve for y:
2(12 - y) + 5y = 36
24 - 2y + 5y = 36
3y = 12
y = 4
Now that we know y is 4, we can substitute this value back into the first equation and solve for x:
x + 4 = 12
x = 8
Therefore, the values of x and y that satisfy the system of equations are x = 8 and y = 4.
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Hi I need help finding the degree measure of Radian on a triangle with hypotenuse =7 and opposite =3
Answer:
24.6 degrees.
Step-by-step explanation:
To find the degree measure of the radians in a right triangle with hypotenuse = 7 and opposite = 3, we need to use trigonometric ratios. Since the opposite and hypotenuse are given, we can use the sine ratio.
sin(θ) = opposite/hypotenuse
sin(θ) = 3/7
Now we need to find the angle measure θ. We need to use the inverse sine or arcsine function to do this.
θ = sin^-1(3/7)
θ ≈ 0.429 radians
To find the degree measure, we must convert radians to degrees by multiplying by 180/π.
θ ≈ 0.429 x 180/π
θ ≈ 24.6 degrees
Therefore, the degree measure of the radians in the given triangle is approximately 24.6 degrees.
dont feel like doing
Answer:
Part a 6 and 9
Step-by-step explanation:
Part B is 7.3 because u just find the sq root of 54 which can't go down the easiest is finding the decimal form
Altina Restaurant Flexible Budget for November 2010
A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?
b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?
d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?
e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?
f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?
g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?
Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
What is Net Income?Net income, considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.
The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.
Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.
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5
A line passes through the point (-4, -7) and has a slope of.
4
Write an equation in slope-intercept form for this line.
ロ=ロ
X
8
5
The equation of the line in slope-intercept form is:
y = 4x + 9
Write an equation in slope-intercept formThe slope-intercept form of the equation of a line is:
y = mx + b
where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).
In this case, we know that the line passes through the point (-4, -7) and has a slope of 4. So, we can plug in the values of x, y, and m into the slope-intercept form and solve for b:
-7 = 4(-4) + b
Simplifying the right side:
-7 = -16 + b
Adding 16 to both sides:
9 = b
So the y-intercept is 9. Therefore, the equation of the line in slope-intercept form is:
y = 4x + 9
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population of a certain inner-city area is estimated to be declining according to the model P(1) = 108,000€-0.011, where t is the number of years from the present What does this model predict the population will be in 7 years? Round to the nearest person.
The model predicts that the population of the inner-city area will be 107,079 people in 7 years
How is the population of an area or country determined?The number of inhabitants in a given region is characterized as the quantity of individuals normally living around there, estimated on 1 January in a given year.
The given model for the number of inhabitants in the rough part of town region is:
P(t) = 108,000 - 0.011t
where t is the number of years from the present and P(t) is the estimated population at time t.
To find the predicted population in 7 years, we can substitute t=7 into the given model and evaluate:
P(7) = 108,000 - 0.011(7)
P(7) = 108,000 - 0.077
P(7) = 107,923
As a result, the model projects that the inner-city area will have a population of 107,079 people in seven years, rounded to the nearest person.
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