Answer:
This problem can be solved using the Proportionality concept, the following mathematical equation can be constructed for the problem statement:
\(\begin{gathered} \frac{T_1}{P_1}=\frac{T_2}{P_2} \\ \\ \\ \therefore\Rightarrow \\ \\ \\ \frac{\$10,800}{\$900,000}=\frac{T_2}{\$430,000} \\ \\ \\ \\ T_2=\$430,000\times\frac{\operatorname{\$}10,800}{\operatorname{\$}900,000}=\$5,160 \\ \\ \\ T_2=\$5,160 \end{gathered}\)Therefore the tax on that property is $5,160.
Write an equation of the line passing through point P(−2, 6) that is parallel to the line x=−5.
Answer:
x = -2
Step-by-step explanation:
x = -5 is a vertical line going through the x-axis, so any line that is x = a number will be parallel to it.
The equation of a line passing through point P(-2,6) and parallel to x = -5 is x = - 2.
What is slope undefined?A slope is the rate of change of the y-axis with respect to the x-axis.
The slope of a vertical line is undefined because tan90° is undefined.
First, a line that has an equation x = -5 is a vertical line at x = - 5 all the values of y from negative infinity to positive infinity along the y-axis, and the slope is undefined.
Line parallel to the line x = -5 and has coordinate points P(-2,6) is also a vertical line at x = -2 for every possible real value of y.
So, it's equation is x = -2.
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Which point is the best approximation of the relative maximum of the polynomial function graphed below?
Answer:
D
Step-by-step explanation:
Help would be kind :)
Kimberly had 2 times as many marshmallows as Chris. After eating 15 each, Kimberly had 3 times as many marshmallows as Chris. How many marshmallows did Kimberly have at first?
Kimberly had 2 times as many marshmallows as Chris. After eating 15 each, Kimberly had 3 times as many marshmallows as Chris. Kimberly had 60 marshmallows at first.
What is Kimberly's marshmallows count?Generally, Let's call the number of marshmallows that Kimberly had at first X.
We know that Kimberly had 2 times as many marshmallows as Chris at first, so Chris had X/2 marshmallows.
After eating 15 each, Kimberly had X - 15 marshmallows, and Chris had X/2 - 15 marshmallows.
We also know that Kimberly had 3 times as many marshmallows as Chris after eating 15 each, so
(X - 15) = 3 * (X/2 - 15).
(X - 15) - 3 * (X/2 - 15) = 0
Then, we can simplify the left side of the equation:
X - 15 - 3 * X/2 + 45 = 0
Combining like terms, we get:
-3 * X/2 + X - 15 + 45 = 0
Simplifying further:
-X/2 =-30
X = 60
Therefore, Kimberly had 60 marshmallows at first.
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If 400 x 300 = 120,000
And 40 x 30 is 1,200
Fill in the blanks and show your work
*_____ x ______ = 12,000?
Answer:
this list
Step-by-step explanation:
1×12000=12000
2×6000=12000
3×4000=12000
4×3000=12000
5×2400=12000
6×2000=12000
8×1500=12000
10 ×1200=12000
12 ×1000=12000
Isaac is buying ingredients to bake 4 batches of chocolate chip walnut cookies, and each batch requires 1 bag each of chocolate chips and walnuts. His receipt shows a total of $17.92. He remembers that the chocolate chips were $2.59 per bag, but he can't remember how much each bag of walnuts costs. How can Isaac determine the cost per bag of walnuts? Match each step of the arithmetic solution with the correct description. Step 1 Step 2 :: Divide 17.92 by 4. II :: Subtract 2.59 from 4.48. :: Add 2.59 to 4.48. :: Multiply 17.92 by 4. :: Subtract 2.59 from 71.68.
The cost of each bag of walnut can be determined following the below steps and each bag of walnut is $1.89
What is the cost of each bag of walnut?Total receipt= $17.92
4 batches of chocolate chip walnut cookies requires 4 bags each of chocolate chips and walnuts if each batch requires 1 bag each of chocolate chips and walnuts
Cost of chocolate chips = $2.59
Cost of 4 bags of chocolate chips = 4($2.59)
= $10.36
Total cost of 4 bags of walnuts = Total receipt - Cost of 4 bags of chocolate chips
= $17.92 - $10.36
= $7.56
Cost of each bag of walnut= Total cost of 4 bags of walnuts / 4
= $7.56 / 4
= $1.89
Therefore, each bag of walnut cost $1.89
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Answer: Step 1: Divide 17.92 by 4
Step 2: Subtract 2.59 from 4.48
Step-by-step explanation:
The following joint probability density function for the random variables Y1 and Y2, which represent the proportions of two components in a somaple from a mixture of insecticide.
f(y1,y2) = { 2, 0 <= y1 <= 1, 0 <= y2 <= 1, 0 <= y1+y2 <=1
{ 0, elsewhere
For the chemicals under considerationm an important quantity is the total proportion Y1 +Y2 found in any sample. Find E(Y1+Y2) and V(Y1+Y2).
The final result of the integration is:
V(Y1 + Y2) = -2/3 + 1/3 + 4 = 1
The expected value of Y1 + Y2 can be calculated by integrating the joint probability density function f(y1,y2) over the given range of y1 and y2, i.e.
E(Y1 + Y2) = ∫ ∫ f(y1,y2) dy1 dy2Where the limits of integration are 0 ≤ y1 ≤ 1, 0 ≤ y2 ≤ 1, and 0 ≤ y1+y2 ≤ 1.
The integral can be evaluated as follows:
E(Y1 + Y2) = ∫ 0 1 ∫ 0 y1 2 dy2 dy1 + ∫ 0 1 ∫ y1 1 2 dy2 dy1
= ∫ 0 1 (2y1 + 2 - 2y1) dy1
= ∫ 0 1 2 dy1
= 2
The variance of Y1 + Y2 can be calculated by computing the integral of the joint probability density function f(y1,y2) over the given range of y1 and y2, and then subtracting the square of the expected value from it:
V(Y1 + Y2) = ∫ ∫ (y1 + y2 - E(Y1 + Y2))² f(y1,y2) dy1 dy2 - E(Y1 + Y2)²
Where the limits of integration are 0 ≤ y1 ≤ 1, 0 ≤ y2 ≤ 1, and 0 ≤ y1+y2 ≤ 1.
The integral can be evaluated as follows:
V(Y1 + Y2) = ∫ 0 1 ∫ 0 y1 (y1 + y2 - 2)² 2 dy2 dy1 + ∫ 0 1 ∫ y1 1 (y1 + y2 - 2)² 2 dy2 dy1
= ∫ 0 1 (y1² + 2y1 - 4y1² - 4y1 + 4) dy1
= ∫ 0 1 (-2y1² + 2y1 + 4) dy1
= ∫ 0 1 (-2y1² + 2y1 + 4) dy1
= (-2y1³/3 + y1² + 4y)
The final result of the integration is:
V(Y1 + Y2) = -2/3 + 1/3 + 4 = 1
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\(\frac{x+4}{3} =7\)
\(\dfrac{x+4}{3} =7\)
Multiply both sides by 3:
\((\dfrac{x+4}{3} )\times3=(7)\times3\)
\(x+4=21\)
Subtract 4 from both sides:
\(x+4-4=21-4\)
\(\boxed{x=17}\)
Please help me. I need help
Answer:
(X+1)(x+5)
Step-by-step explanation:
Answer:
the zeroes are -5 and -1 so the factors are (x + 5)(x + 1)
Solving for x and y
Answer:
105/13 = x ; 64/13 = y
Step-by-step explanation:
12x + 2 = y + 94 --> 24x + 4 = 2y + 188
11x + 12 = 2y + 91 -->
13x - 8 = 97 -->
13x = 105 -->
105/13 = x -->
64/13 = y
what are exchange rates?
Answer:
Step-by-step explanation:
Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.
Look at the picture and solve it guys!!!!!! Right answers only!
Answer:x=7,1
Step-by-step explanation:
Sep 20, 8:10:23 AM
The sum of three consecutive integers is 51. Find the value of the greatest of the
three.
The first integer is 16 and the next two integers are 17 and 18. The largest one is 18
What in math is an integer?
An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.Three categories of integers exist: Zero (0) Good integers (Natural numbers) Integer Negatives (Additive inverse of Natural Numbers)The first integer will be called x. Consequently, the second integer is x+1 and the third is x+2 (this is because they are consecutive integers). The total of these three numbers is 51, so build up the following equation and answer it.
x+(x+1)+(x+2)=51
3x+3=51
3x=48
x=16
Therefore, the first integer is 16 and the next two integers are 17 and 18. The largest one is 18 and this is the answer.
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What are all the factors of 54? O 1,2, 6, 9, 26, 54 O 1,2, 6, 9, 27, 54 O 1, 2, 3, 6, 9, 18, 26, 54 O1,2, 3, 6, 9, 18, 27, 54.
┈┈┈┈▕▔╱▔▔▔━▁┈┈┈┈
┈┈┈▕▔╱╱╱┈╲▂▔▔╲┈
┈┈▕▔╱╱╱╱▂▂▂▂▂▂▏
┈▕▔╱▕▕╱╱╱┈▽▽▽▽▽┈
▕▔╱┊┈╲╲╲╲▂△△△△┈┈
▔╱┊┈╱▕╲▂▂▂▂▂▂╱┈┈
╱┊┈╱┉▕┉┋╲┈
Answer:
1 2 3 6 9 18 27 and 54 I hoped this helps
Answer:
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
Step-by-step explanation:
1 . a plane flies 120 km on a bearing of 045° and then flies 150 km due east . how far east of the starting point is the plane?
2. an aircraft flies due north from airport x to y and then flies due west to z. if y is equidistant from x and z. calculate the bearing of x from z
pls with whole procedure pls help me
Answer:
1.Assuming that your teacher is not an ars. ewith trick questions who wants you to solve this on an arbitrary point on a spherical surface:
2.The bearing of x from y is 070 and the bearing of z from y is 160, where x, y, and z are three points in the plane .if y is equidistant from x and z, find the bearing of z from x
$250,2.85%, 3 years please this is my last question
Answer:
Is this increasing or decreasing
$271.35 if increasing
$228.62 if decreasing
Step-by-step explanation:
A rectangular piece of metal is 5 in longer than it is wide. Squares with sides 1 in lòng are cut from the four corners
and the flaps are folded upward to form an open box. If the volume of the box is 234 in³, what were the original
dimensions of the piece of metal?
The original dimensions of the piece of metal were 15 inches by 20 inches.
To solve this problem, we can use the given information to set up an equation. Let's assume that the width of the rectangular piece of metal is x inches. According to the problem, the length of the piece of metal is 5 inches longer than its width, so the length would be (x+5) inches.
When squares with sides 1 inch long are cut from the four corners, the width and length of the resulting box will be reduced by 2 inches each. Therefore, the width of the box will be (x-2) inches and the length will be ((x+5)-2) inches, which simplifies to (x+3) inches.
The height of the box will be 1 inch since the flaps are folded upward.
Now, let's calculate the volume of the box using the formula Volume = length * width * height.
Substituting the values, we have:
234 = (x+3)(x-2)(1)
Simplifying the equation, we get:
234 = x^2 + x - 6
Rearranging the equation, we have:
x^2 + x - 240 = 0
Now, we can solve this quadratic equation either by factoring or by using the quadratic formula. Let's use factoring to find the values of x.
Factoring the equation, we have:
(x+16)(x-15) = 0
Setting each factor equal to zero, we get:
x+16 = 0 or x-15 = 0
Solving for x, we have:
x = -16 or x = 15
Since the width cannot be negative, we take x = 15 as the valid solution.
Therefore, the original dimensions of the piece of metal were 15 inches in width and (15+5) = 20 inches in length.
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A new firm loses $2000 in its first month, but its profit increases by $400 in each succeeding month for the next year. What . is its profit in the twelfth month?
Answer:
Ans. Given, A1 = $2000 profit = A1 + (n-1)d d = $400 = -2000+(12-1)400 n = 12 = $2400
The required profit in the twelfth month is $2400.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values
To solve this problem, we need to use the arithmetic sequence formula to find the profit of each month, then add up the profits for the first 12 months to find the profit in the twelfth month.
The first term (a₁) is -2000, the common difference (d) is 400, and we need to find the twelfth term (a₁₂).
We use the formula for the nth term of an arithmetic sequence:
an = a₁ + (n - 1)d
So, substituting the given values, we get:
a₁₂ = -2000 + (12 - 1)400
a₁₂ = -2000 + 11*400
a₁₂ = -2000 + 4400
a₁₂ = 2400
Therefore, the profit in the twelfth month is $2400.
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HELLLPPLPPPP MUDDLE SCHOOLLL!!!!
Answer:
D.
Thats what gauth.math said
Help please Find the area of the shaded region.
Use 3.14 for pi.
Answer:
994.74in²
Step-by-step explanation:
Are of circle: 21²×3.12=1384.74
Area of Triangle: 20×39/2=390
Then subtract
Simplify the expression:
2+1d+3a=4
Answer:
d=2-3a
Step-by-step explanation:
Solve for d by simplifying both sides of the equation, then isolating the variable.
3d+3a=4
Subtract 3 from each side of the equal sign:
d+3a=1
Subtract 3a-1:
d=2-3a
Hence d=2-3a is your final answer
Answer:
d = 2 - 3a
a = -d+2/3
Step-by-step explanation:
i didnt know which one u wanted to slove for but here are the answers and putting both equations would take to long so yea
lmk if this helped
please help!!! i dont understand
Answer:
C(t)=0.10t + 25
Step-by-step explanation:
gradient = change in y/ change in x = 5/50 = 0.10
the y intercept is 25
so the equation is y = 0.1t + 25
Match each function with the correct translation of the parent function f(x) = x.
160=1x1-4
f(x) = (x+4)
fx)=p+4
0
00
vertical translation down 4 units
horizontal translation right 4 units
horizontal translation left 4 units
vertical translation up 4 units
It is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in
the graph intersecting the x- or y-axis at a different point.
Function is an operation that takes an input, performs some processing on it, and returns a result. It is a set of instructions that performs a specific task. Functions are typically used to perform repetitive tasks, like finding the sum of two numbers, adding two strings together, or finding the maximum of a list of numbers. Functions are essential to programming and can be used to make code more organized, reusable, and efficient.
The function f(x) = x is the parent function for linear equations. This equation is generally used to graph a line with a slope of 1 and a y-intercept of (0, 0). In order to translate this parent function, different transformations are applied to it.
A vertical translation down 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function down 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, -4).
A horizontal translation right 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function right 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (4, 0).
A horizontal translation left 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function left 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (-4, 0).
Finally, a vertical translation up 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function up 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, 4).
In conclusion, it is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in the graph intersecting the x- or y-axis at a different point.
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The radius of a cylinder water tank is 4 ft, and its height is 12 ft. What is the volume of the tank?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
The answer is 603 ft³Step-by-step explanation:
Volume of a cylinder is given by
\(V = \pi {r}^{2} h \\ \)
where
r is the radius
h is the height of the cylinder
From the question
r = 4 ft
h = 12 ft
π = 3.14
So we have
\(V = (3.14) ({4})^{2} (12) \\ = (3.14)(16)(12) \\ = 602.88\)
We have the final answer as
603 ft³ to the nearest whole number
Hope this helps you
B) What is the cost of making 35 items?
And c. The domain
The cost of making 35 items is 1100 and the domain is (-∞,∞)
The cost of making 35 items :
x = 35plug the value into the cost equation
C(35) = 10(35) + 800
C(35) = 350 + 800
C(35) = 1100
Hence, cost of making 35 items is 1100
The domain of the functionSince the value of X can be any real number, we can plug in any real number for x and get a real number output.
Hence, the domain = (-∞,∞)
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Sera had the number 548.She adds one to the tens and two to the units. What number would Sera end up with??
The number she'd have is:
560Explanation:
First, let's see which number is in the tens place and which number is in the ones place (the units place).
In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).
So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :
550
That's not all, since we also add 1 to the tens:
560
Hence, Sera ends up with 560.Can someone please hope and show the work?
Answer: 16 pounds of grain.
Step-by-step explanation: 36 divided by 9 is 4, which means we have to multiply bin C by how much bin J was multiplied by, which is 4, so 4x4 is 16.
(let me know if you would like me to explain more on this)
If the point A (5,4) is rotated 90 degrees clockwise about the point (0,1),what are the coordinates of the point A'?
Answer:
To rotate a point 90 degrees clockwise about another point, you can follow these steps:
1. Subtract the coordinates of the center of rotation from the coordinates of the point you want to rotate to translate the center of rotation to the origin.
A translated point A would be: (5 - 0, 4 - 1) = (5, 3)
2. Perform the rotation by swapping the x and y coordinates and negating the new x-coordinate.
The rotated point A' would be: (3, -5)
3. Add the coordinates of the original center of rotation to the rotated coordinates to translate the origin back to the center of rotation.
The final coordinates of point A' would be: (3 + 0, -5 + 1) = (3, -4)
Therefore, the coordinates of point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).Using the table, what is the average daily balance of the credit card for the October 1 - October 31 billing period? Round your answer to the nearest cent. Do not include a dollar sign or comma in your answer. For example, $5,678.00 should be entered as 5678.00. Day 1112131 Activity − Payment Purchase Purchase Adjustment −−2000+1500+1000 Closing Balance 100008000950010500
The balance based on the.data given in the table is shown below.
Balance from day 1 to 10 = 11000
Balance from day 11 to 21= 8000
Balance from day 21 to 30- 5500
Balance on day 31 7500
How to explain the balanceBalance from day 1 to 10= 11000
Balance from day 11 to 21= 8000 Balance from day 21 to 30 5500
Balance on day 31- 7500
The average daily balance of the credit card for the month of december is:
Average daily balance The ratio of total balance from each day in cycle to the total number of days in cycle.
Total balance from each day in cycle=
(11000 x 10)+(8000 × 10)+(5500 x 10) + (7500 x 1) = 104000
Average daily balance=104000 / 31
= 8145
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The International Monetary Fund is trying to raise $1,600 billion in 12 years for new funds to lend to developing countries. At 4% interest compounded quarterly, how much must it invest today to reach $1,600 billion in 12 years? (Use the Table provided.)
They must invest $269.54 billion at a compound interest of 4% quarterly
How to find how much must it invest today to reach $1,600 billion in 12 years?Since the International Monetary Fund is trying to raise $1,600 billion in 12 years for new funds to lend to developing countries at 4% interest compounded quarterly, we use the compound interest formula to determine the amount it needs to raise.
What is the compound interest formula?The compound interest formula is given by A = P(1 + r)ⁿ where
A = amount raised, P = principal, r = interest rate and n = timeNow, since we require P, making P subject of the formula, we have
P = A/(1 + r)ⁿ
Given that
A = amount raise = $1600 billion, r = compound interest rate = 4% quarterly = 4% ÷ 1/4 year = 4% × 4 = 16% = 0.16 per year and n = number of years = 12Substituting the values of the variables into the equation, we have
P = A/(1 + r)ⁿ
P = $1600 billion/(1 + 0.16)¹²
P = $1600 billion/(1.16)¹²
P = $1600 billion/5.936
P = $269.54 billion
So, the must invest $269.54 billion
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100 Points! Geometry question. Photo attached. Find x and y in the right triangle. Please show as much work as possible. Thank you!
Answer:
x = 10.5
y =5.25
Step-by-step explanation:
sin60° = 21√3/x
√3/2 = 21√3/x
=> x = 21√3/√3/2 = 10.5
cos60° = y/x
1/2 = y/10.5
y = 10.5/2 = 5.25