The population of a town was 47,000 in 1950 and 83,000 in 2010. Assume the rate of a population increase is constant .What will the population be in 2015
A:86,000
B:85,000
C:89,000
D:83,000
Answers
Answer:
The answer should be A
Step-by-step explanation:
Hope this helps!
Related Questions
Directions: Solve the multi-step equation showing your work!
Answers
Ronald spent $123.45 on school clothes. He counted his money and discovered that he had $39.55 left. How much money did he originally have?
Answers
Ronald originally had $163
He spent a total of $123.45 on school clothes. The money he had left after the expenditure is $39.55 . The total money he had originally can be calculated as follows:
Therefore,
let
x = the original amount he had
VariableVariable are numbers that are represented by letter in a mathematical equation,.
x - 123.45 = 39.55x - 123.45 = 39.55
x = 39.55 + 123.45
x = $163
The amount he originally had is $163
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Which choice shows (5 + 9) + 10 correctly rewritten using the associative property
and then correctly simplified?
O 10 + (5 + 9) = 10 + 14 = 24
O 5+ (9 + 10) = 5 + 19 = 24
O 10 + (9+5) = 10 + 14 = 24
O 5+ (91+0) = 5 +91 = 96
Question ID: 116111
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Answers
The correct option for the expression (5 + 9) + 10 showing the associative property is 5+ (9 + 10) = 5 + 19 = 24
What is the associative property?The associative property of addition states that the sum of three or more numbers remains the same regardless of how the numbers are grouped.
Given that, an expression, (5 + 9) + 10
According to associative property of addition, (a+b)+c = a+(b+c)
Therefore,
(5 + 9) + 10 = 5+(9+10)
= 5+19
= 24
Hence, the correct option for the expression (5 + 9) + 10 showing the associative property is 5+ (9 + 10) = 5 + 19 = 24
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write a real-world situation that could be modeled by the equation 8+2x=6x. Then solve the problem.
Answers
Answer:
x = 2
Step-by-step explanation:
8 = 6x + -2x
8 = 4x
8 = 4x
4 4
2 = x
A 2,100-square-foot home in Cheyenne, Wyoming, costs $110 per square foot. How much does this home cost?
Answers
PLS SOMEONE HELP MEEEEE
Answers
In conclusion MN is approximately 8.73.
How to solve?
In triangle MNK, we know that MN = NK and the angle between them is 110 degrees. Let's call the third angle in this triangle A.
We also know that MK = 5.
Since the sum of the angles in a triangle is always 180 degrees, we can find angle A:
A + 110 + A = 180
2A = 70
A = 35
Now we can use the Law of Sines to find MN:
MN/sin(110) = MK/sin(A)
MN/sin(110) = 5/sin(35)
MN = 5×sin(110)/sin(35)
MN ≈ 8.73
Therefore, MN is approximately 8.73.
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Complete Quedtion:
In triangle AMNK, we have MN = NK, angle M/N = 110 degrees, and MK = 5. What is the length of MN?
On January 1, 2021, James Corporation exchanged $3,050,000 cash for 100 percent of the outstanding voting stock of Johnson Corporation. James plans to maintain Johnson as a wholly owned subsidiary with separate legal status and accounting information systems. At the acquisition date, James prepared the following fair-value allocation schedule: Consideration transferred for Johnson Corporation $ 3,050,000 Johnson’s carrying amount $ 2,300,000 Less: Johnson’s pre-existing goodwill (75,000 ) Identifiable net assets carrying amount 2,225,000 Excess consideration transferred over carrying amount of identifiable net assets $ 825,000 to Johnson’s patents (undervalued) 800,000 to new goodwill from Johnson acquisition (indefinite life) $ 25,000 Immediately after closing the transaction, James and Johnson prepared the following postacquisition balance sheets from their separate financial records. Accounts James Johnson Cash $ 245,000 110,000 Accounts receivable 1,830,000 360,000 Inventory 3,500,000 280,000 Investment in Johnson 3,050,000 0 Patents 7,000,000 1,000,000 Trademarks 0 3,200,000 Goodwill 150,000 75,000 Total assets $ 15,775,000 $ 5,025,000 Accounts payable $ (100,000 ) $ (515,000 ) Long-term debt (4,300,000 ) (2,210,000 ) Common stock (5,000,000 ) (1,000,000 ) Additional paid-in capital 0 (200,000 ) Retained earnings (6,375,000 ) (1,100,000 ) Total liabilities and equities $ (15,775,000 ) $ (5,025,000 ) Prepare an acquisition-date consolidated balance sheet for James Corporation and its subsidiary Johnson Corporation. (For accounts where multiple consolidation entries are required, combine all debit entries into one amount and enter this amount in the debit column of the worksheet. Similarly, combine all credit entries into one amount and enter this amount in the credit column of the worksheet. Negative amounts should be indicated by a minus sign.)
Answers
The table shows the age of a painting (x) in years, and its estimated dollar value (y).
A 4-column table with 6 rows. Column 1 is labeled x with entries 50, 54, 62, 65, 68, sigma-summation x = 299. Column 2 is labeled y with entries 1,200, 1,500, 2,400, 3,200, 4,100, sigma-summation y = 12,400. Column 3 is labeled x squared with entries 2,500, 2,916, 3,844, 4,225, 4,624, sigma-summation x squared = 18,109. Column 4 is labeled x y with entries 60,000, 81,000, 148,800, 208,000, 278,800, sigma-summation x y = 776,600.
Which regression equation correctly models the data?
y = 41.47x + 0.09
y = 41.47x + 1,279.93
y = 153.32x – 6,688.54
y = 153.32x – 6,325.76
Answers
Regression equation correctly models the data is: y = -43.98x + 1,279.93
To determine the regression equation that correctly models the data, we can use the method of linear regression. The regression equation for a straight line is generally expressed as y = mx + b, where m is the slope and b is the y-intercept.
Using the given table, we can calculate the necessary values to determine the regression equation. Let's denote the sigma notation as Σ.
The slope (m) can be calculated using the formula:
\(m = (Σxy - (Σx)(Σy) / n(Σx^2) - (Σx)^2)\)
Plugging in the values from the table:
m =\((776,600 - (299)(12,400) / 6(18,109) - (299)^2)\)
m = (776,600 - 3,708,800 / 6(18,109) - 89,401)
m = (-2,932,200 / 66,654)
m ≈ -43.98
The y-intercept (b) can be calculated using the formula:
b = (Σy - m(Σx)) / n
Plugging in the values from the table:
b = (12,400 - (-43.98)(299)) / 6
b ≈ 1,279.93
The correct regression equation that models the data is:
y = -43.98x + 1,279.93
Out of the given options, the correct regression equation is:
y = -43.98x + 1,279.93
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A plane has 270 gallons of fuel. The plane averages 1 7/9 miles per gallon. How far can the plane go?
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(Multiply 1 7/9 mi times 270 gal)
One baseball team played 30 games throughout their entire season. If this baseball team
won 24 of those games, then what percentage of their games did they win? Round your
answer to the nearest whole number if necessary.
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Answer:
80 %
Step-by-step explanation:
Select the correct answer. Consider this function. Which graph represents the inverse of function f? f(x)= x+4
Answers
The inverse of the function f(x) = x + 4 is given as f⁻¹(x) = x - 4
What is inverse of a function?An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.
In this problem, the function given is f(x) = x + 4;
We can find the inverse of the function as;
y = x + 4;
Let's switch the variables by replacing x as y and y as x;
x = y + 4
Solving for y;
y = x - 4
f⁻¹(x) = x - 4
The graph of the function is attached below
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Which equation has all real numbers as solutions?
HELLLPP
Answers
Answer:
The last answer D
Step-by-step explanation:
Hope this helps. :) :D
The equation 3y + 1 = 3y + 1 has all real numbers as solutions becasuse 0 = 0 true for all real numbers option (D) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The first equation:
3y = 3y + 1
0 = 1 (false)
The second equation:
3y = 3
y = 1 (one real solution)
The third equation:
3y = 0
y = 0 (one real solution)
The fourth equation:
3y + 1 = 3y + 1
0 = 0 (infinitely solution)
Thus, the equation 3y + 1 = 3y + 1 has all real numbers as solutions becasuse 0 = 0 true for all real numbers option (D) is correct.
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Porfa es para mañana en la mañana
Answers
Answer:
no hay respuesta porque no se mira la imagen
Step-by-step explanation:
lo siento quisiera ayudar pero no se mira la imagen está borrosa
Ribbon wands are made from strips of ribbon tied to sticks. Connie has 84 feet of red ribbon, 48 feet of blue ribbon, and 72 feet of white ribbon. She wants to cut the ribbons into equal lengths that are as long as possible so that no ribbon is wasted
How many pieces of each color will she have?
Answers
Answer
Connie can cut the ribbon into 12 foot pieces.
Step-by-step explanation:
For these problems we should find the GCF, which is 12.
a ball has a diameter of 4 inches what is the volume
Answers
Answer:
268.08 cubic inches
Step-by-step explanation:
I'm sorry if this isn't helpful
i don't smile for the camera, (finish the rest correctly u get brainliest)
Answers
Step-by-step explanation:
only smile for youuuuuuuu
Answer:
I only smile for the money, lol
Step-by-step explanation:
(-1,-1) and a slope of -5
Answers
Answer: y= -5x - 6
Step-by-step explanation:
2x^2 + 7x - 15 = 0If r and s are two solutions of the equation above and r>s, which of the following is the value of r - s?
Answers
Given:
The equation is given as,
\(2x^2+7x-15=0\)The solutions of the above equation are r and s.
The objective is to find r - s.
Explanation:
From the quadratic equation consider a = 2, b = 7 and c = -15.
The solutions r and s can be calculated using quadratic formula as,
\(x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)Substitute the value of a, b and c in the above formula.
\(\begin{gathered} x=\frac{-7\pm\sqrt[]{7^2-4(2)(-15)}}{2(2)} \\ =\frac{-7\pm\sqrt[]{49+120}}{4} \\ =\frac{-7\pm\sqrt[]{169}}{4} \\ =\frac{-7\pm13}{4} \end{gathered}\)To find r and s:
On further solving the equation,
\(\begin{gathered} x=\frac{-7+13}{4},\frac{-7-13}{4} \\ =\frac{6}{4},\frac{-20}{4} \\ =\frac{3}{2},-5 \end{gathered}\)Since, it is given that r > s, the value of r is (3/2) and s is -5.
To find r - s:
Now, the difference can be calcualted as,
\(\begin{gathered} r-s=\frac{3}{2}-(-5) \\ =\frac{3}{2}+5 \\ =\frac{3}{2}+\frac{5(2)}{2} \\ =\frac{3}{2}+\frac{10}{2} \\ =\frac{13}{2} \end{gathered}\)Thus, the value of r - s is (13/2).
Hence, option (B) is the correct answer.
John has $90 in the bank. Every time herides the bus he spends
$2.50. Write an equation that John can use to see how many times
he can ride the bus. Let x = the number of times he can ride the bus.
Answers
Answer:90 divided by 2.50= X
36 = X
Step-by-step explanation:
(5n2 – 4nm - 9m²) + (7n2 + 4nm +8m²) =
Answers
Answer:
\(\left(5n^2-4nm-9m^2\right)+\left(7n^2+4nm+8m^2\right)=12n^2-m^2\)
Step-by-step explanation:
Given the expression
\(\left(5n^2\:-\:4nm\:-\:9m^2\right)\:+\:\left(7n^2\:+\:4nm\:+8m^2\right)\)
Remove parentheses: (a) = a
\(=5n^2-4nm-9m^2+7n^2+4nm+8m^2\)
Group like terms
\(=5n^2+7n^2-4nm+4nm-9m^2+8m^2\)
Add similar elements: \(5n^2+7n^2=12n^2\)
\(=12n^2-4nm+4nm-9m^2+8m^2\)
Add similar elements: \(-4nm+4nm=0\)
\(=12n^2-9m^2+8m^2\)
Add similar elements: \(-9m^2+8m^2=-m^2\)
\(=12n^2-m^2\)
Therefore, we conclude that:
\(\left(5n^2-4nm-9m^2\right)+\left(7n^2+4nm+8m^2\right)=12n^2-m^2\)
find the value of n
Answers
Step-by-step explanation:
that means
y^(2/3) = x^(1/6)
y = y¹ = y^((2/3)×(3/2)) = (y^(2/3))^(3/2) = (x^(1/6))^(3/2) =
= x^((1/6)×(3/2)) = x^(3/12) = x^(1/4) =
\( \sqrt[4]{x} \)
n = 4
The value of n of the above question is 4
What are exponents in math?The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 23) signifies 2 x 2 x 2 = 8. 23 and 2 x 3 = 6 are not equivalent. Keep in mind that any number is itself when raised to the power of 1.
What are the 4 types of exponents?The 4 types of exponents are: positive, negative, zero, and rational. Positive exponents tell you how many times to multiply a base by itself.
it implies
y^(2/3) = x^(1/6)
y = y¹ = y^((2/3)
×(3/2)) = (y^(2/3))
^(3/2) = (x^(1/6))
^(3/2)
= x^((1/6)×(3/2)) = x^(3/12) = x^(1/4) =
n = 4
The solution is 4
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Which inequality is the solution to 20 + 2 < x/3 = 8 ?
Answers
Answer:
x=24
Step-by-step explanation:
you do 3x8 hehe i just did this wrong thank me later
y=(5x+3)2 linear or non linear
Answers
Answer:
linear
y=(5x+3)2
y=10x+6
this line has a slope of 10 and a y-intercept of 6, it's linear because it has a constant slope and there are no exponents
SOMEONE PLEASE HELP does anyone know the answers for
I can only attach one image
Exploring Congruent Triangles - Alternate Portfolio
Answers
So on solving the provided question we can say that here, in triangle ABC and XYZ; by SSS property they are similar.
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here,
AB = XY
AC = XZ
BC = ZY
by SSS property, they are similar.
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y = 3/5х + 2 on a graph
Answers
Answer:
Go to desmos graphing calculator and put your equation in and it will graph it for you I used it for my math questions like this
Step-by-step explanation:
HOPE THAT HELPS YOU
A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=918 and x=521 who said "yes." Use a 90% confidence level.
B) Identify the value of the margin of error E.
C) construct the confidence interval.
Answers
Answer:
B) The margin of error is 0.0269.
C) The confidence interval is (0.5406, 0.5944).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
The margin of error is:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In the poll, n=918 and x=521 who said "yes."
This means that \(n = 918, \pi = \frac{521}{918} = 0.5675\)
90% confidence level
So \(\alpha = 0.1\), z is the value of Z that has a pvalue of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).
B) Identify the value of the margin of error E.
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(M = 1.645\sqrt{\frac{0.5675*0.4325}{918}} = 0.0269\)
The margin of error is 0.0269.
C) construct the confidence interval.
\(\pi \pm M\)
So
\(\pi - M = 0.5675 - 0.0269 = 0.5406\)
\(\pi + M = 0.5675 + 0.0269 = 0.5944\)
The confidence interval is (0.5406, 0.5944).
Which plot is used to visually assess the uncertainty of a statistic?
Answers
Answer:
bootstrap plot
Step-by-step explanation:
Use implicit differentiation to find an equation of the tangent line to the curve
sin(x+y)=4x−4y at the point (π,π)
Answers
Answer:
The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.
Step-by-step explanation:
o find the equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) using implicit differentiation, we can follow these steps:
Differentiate both sides of the equation with respect to x:
cos(x+y) * (1 + dy/dx) = 4 - 4dy/dx
Simplify by grouping the terms with dy/dx on one side and the rest on the other side:
cos(x+y) * (1 + dy/dx) + 4dy/dx = 4
Substitute x = π and y = π, since we want to find the equation of the tangent line at the point (π,π):
cos(2π) * (1 + dy/dx) + 4dy/dx = 4
Simplify:
-5dy/dx = 4 - cos(2π)
dy/dx = -4/5
Use the point-slope form of the equation of a line to write the equation of the tangent line:
y - π = (-4/5)(x - π)
Simplify:
y = (-4/5)x + (8/5) + π
The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.
The following table gives the number of people infected by the flu over a given number of months.
10 1 12 3 4 15 Number of Months Number of People Infected 1 15 13 33 178 180
Describe any trends or patterns that you observe.
a. The number of people infected is decreasing at a steady rate.
b. The number of months is increasing quickly. c. The number of people infected is increasing at a very fast rate.
d. There is no apparent trend or pattern in the table.
Answers
Answer:
a I think srry if Rong gzjfzmgxmgzmgxmgzmgzkhdkgdly
what is the slope intercept form of 12x+4y=-12
Answers
Answer:
y=-3-3x
Step-by-step explanation:
Transpose the equation for y
y=-12/4-12x/4
y=-3-3x
Explanation:
Q:12x+4y=12
4y=-12x+12
(bring x to the otherside to create slope intercept form y=mx+b by subtracting 12x from both sides)
y=-3x-3
(simplified)