Considering that their household expenses is of $120,000, the mortgage is 12% of their expenses.
The percentage of an amount a of an amount b is a multiplied by 100% and divided by b, that is:
\(P = \frac{a}{b} \times 100\%\)
In this problem, the mortgage is of $14,400, while the total expenses are considered to be of $120,000, hence:
\(P = \frac{14400}{120000} \times 100\% = 12\%\)
The mortgage is 12% of their expenses.
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-12 times - 1 over 3
Answer:
4
Step-by-step explanation:
(-12)(-1)/3=12/3=4
Answer:
4
Step-by-step explanation:
-12x-1=12
12/3=4
work out the area of the parallelogram
Answer:
b x h
Step-by-step explanation:
What is the slope and y-intercept of a line that passes through the points (2, - 5) and (4,
(v/5 is a fraction my thing is broken so i need to do that)
v/5 - 6 = -1
It should be noted that the value of v in the fraction v/5 - 6 = -1 is 25.
How to illustrate the information?It should be noted that from the information that's illustrated, it was written that:
v/5 - 6 = -1
The goal here is to simply calculate the value of v.
Add +6 to both sides
v/5 - 6 + 6 = -1 + 6
v / 5 = 5
Cross multiply
v = 5 × 5
v = 25
Therefore, it should be noted that the value of v in the fraction v/5 - 6 = -1 is 25.
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What is the slope of -x+ 5y = 10?
Answer:
Slope = 1/5
Step-by-step explanation:
Given equation,
→ -x + 5y = 10
The slope-intercept form,
→ y = mx + b
→ slope = m
Now the slope-intercept form is,
→ -x + 5y = 10
→ 5y = x + 10
→ y = (x + 10)/5
→ [ y = (1/5)x + 2 ]
Then the required slope will be,
→ y = (1/5)x + 2
→ Slope = m = 1/5
Hence, the required slope is 1/5.
Answer:
\(\textsf{Slope}=\dfrac{1}{5}\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}\)
Given equation:
\(-x+5y=10\)
To find the slope of the given equation, use algebraic operations to isolate y.
Add x to both sides of the equation:
\(\implies -x+5y+x=10+x\)
\(\implies 5y=x+10\)
Divide both sides of the equation by 5:
\(\implies \dfrac{5y}{5}=\dfrac{x+10}{5}\)
\(\implies y=\dfrac{1}{5}x+\dfrac{10}{5}\)
\(\implies y=\dfrac{1}{5}x+2\)
The coefficient of x is the slope of the equation.
Therefore, the slope of the given equation is ¹/₅.
Please help by tomorrow
The equation shows that the number of toys that must be bought for them to have equal profit will be 212 toys.
How to calculate the value?From the information, it should be noted that the equation that can be used to represent the information about Jaclyn company will be:
= 2125 + (49.99 × x)
= 2125 + 49.99x
The equation that can be used to represent the information about Richie company will be:
= (39.95 × x)
= 39.95x
Therefore, we will equate both equations:
2125 + 49.99x = 39.95x
49.99x - 39.95x =2125
10.04x = 2125
x = 212
Therefore, the number of toys that must be bought for them to have equal profit will be 212 toys.
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5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.
There is a line whose slope is 2 and whose slope is 2 and whose y- intercept is 8. What is its equation in slope-intercept form?
Suppose that $7500 is placed in an account that pays 6% interest compounded each year.
Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding.
(a) Find the amount in the account at the end of 1 year.
(b) Find the amount in the account at the end of 2 years
a) The compounded amount in the account at the end of 1 year is $7,950.
b) The compounded amount in the account at the end of 2 years is $8,427.
What is compound interest?Compound interest is the interest added to the principal amount after each period in order to compute the period's interest.
By compounding, we mean that accumulated interest is added to the principal to compute the subsequent interest.
Compound interest is unlike simple interest, which does not compound interest.
The compound interest formula is:
A = P(1 + r/n)^nt
A = Final amount
P = initial principal balance
r = interest rate
n = number of times interest is applied per time period
t = number of time periods elapsed
Since this investment is compounding annually, we can find the final amount at the end of each year using the common formula as follows:
A = P(1 + r)ⁿ
Principal = $7,500
Compound interest rate = 6%
Compounding period = Annually
Amount at the end of Year 1 = $7,950 ($7,500 x 1.06¹)
Amount at the end of Year 2 = $8,427 ($7,500 x 1.06²)
Thus, the compounded amount at the end of year 1 is $7,950 and $8,427 at the end of year 2.
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In the revenue equation R = –360p2 + 28,800p, what is the maximum revenue that can be expected?
Group of answer choices
The revenue equation is given by:
R = –360p^2 + 28,800p
To find the maximum revenue that can be expected, we need to find the vertex of the parabola represented by this equation. The vertex of a parabola is given by the formula:
Vertex = (-b/2a, f(-b/2a))
where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.
In this case, a = -360 and b = 28,800.
The x-coordinate of the vertex is given by:
x = -b/2a = -28,800/(2*(-360)) = 40
Substituting x = 40 into the revenue equation gives:
R = –360(40)^2 + 28,800(40) = 576,000
Therefore, the maximum revenue that can be expected is $576,000.
Again let me know what other ones you need help with
Select all the equations that represent the hangar
The following equation which represents the hanger are:
x + x + x = 1 + 1 + 1 + 1 + 1 + 13x = 6So option A and C are correct
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
For example, 3x+2y=0.
Types of equation
1. Linear Equation
2. Quadratic Equation
3. Cubic Equation
1) The hanger is in balance with 3 tiles with the variable x on the left side, and the 6 tiles of 1 on the right side this is the same as to write:
x + x + x = 1 + 1 + 1 + 1 + 1 + 1
2) This is the same as to say x=2. Hence, only A, and C, gives us this quantity for x.
3x = 6
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Four classes are on a field trip. There are 6 tour guides. of studentsCan each tour guide have an equal number
The solution is, each tour guide have an equal number of 8 students.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
there are 12 students in each class.
Four classes are on a field trip.
There are 6 tour guides.
total students = 12*4
= 48
so, each guide have = 48/6
= 8
Hence, The solution is, each tour guide have an equal number of 8 students.
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Does X have a binomial distribution? Give your reasons
Opinion polls find that 45% of teens say that their parents put at least some pressure on them to get into a good college. If you take an SRS of 980 teens, X has a distribution of the number in your sample who say they feel at least some pressure from their parents to get into a good college.
The variable X has a binomial distribution, as:
It has a fixed number of observations.The trials are independent.For each outcome, there are only two possible outcomes.What are the requirements for the binomial distribution?There are three requirements for the binomial distribution to represent a variable, as follows:
Fixed number of trials.The result of each trial is independent of the result of any other trial.Two possible outcomes for each trial, one representing a success and the other representing a failure.In the context of the variable X, these requirements are respected as follows:
Fixed number of 980 trials.For each trial, there is a 45% probability that the teen says that their parents put some pressure on him/her to get on good college, and 55% that the parents do not put pressure.For each trial, there are only two possible outcomes, either the parents put pressure, or they do not.Hence yes, the variable X has a binomial distribution.
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Please I need help please
Answer:
18840
Step-by-step explanation:
The formula for a cone is r^2·h·3.14/3
R=20
H=45
Plug in the numbers and multiply and divide to get 18840
Please awnser asap I will brainlist
Answer:
V = 180 (vans)
S = 90 (small trucks)
L = 40 (large trucks)
Step-by-step explanation:
Set up the variables: Let V represent the number of vans, S represent the number of small trucks, and L represent the number of large trucks.
Write the equations:
V + S + L = 310 (total number of vehicles)
V = 2S (twice as many vans as small trucks)
35,000V + 70,000S + 60,000L = 15,000,000 (total cost of the vehicles)
Substitute equation 2) into equation 1):
2S + S + L = 310
3S + L = 310
Simplify equation 3) by substituting V = 2S:
70,000S + 70,000S + 60,000L = 15,000,000
140,000S + 60,000L = 15,000,000
Set up a system of equations:
3S + L = 310
140,000S + 60,000L = 15,000,000
Eliminate L by multiplying equation 1) by 60,000:
60,000(3S + L) = 60,000(310)
180,000S + 60,000L = 18,600,000
Subtract equation 2) from the new equation:
(180,000S + 60,000L) - (140,000S + 60,000L) = 18,600,000 - 15,000,000
40,000S = 3,600,000
Solve for S:
S = 90
Substitute the value of S into equation 1) to solve for L:
3(90) + L = 310
270 + L = 310
L = 40
Substitute the values of S and L into equation 2) to solve for V:
V = 2S
V = 2(90)
V = 180
The final answer is:
V = 180 (vans)
S = 90 (small trucks)
L = 40 (large trucks)
Answer:
180 Vans 90 Small trucks and 40 Large trucks
Step-by-step explanation:
y is inversely proportional to x . When y = 30 , x = 3 Work out x when y = 6
Step-by-step explanation:
yx = k, where k is a real constant.
When y = 30, x = 3.
=> k = (30)(3) = 90.
Hence when y = 6, x = k/y = (90)/(6) = 15.
Un coche tarda 12 minutos en dar la vuelta a un circuito si va a una velocidad de 80 km/h. Cuánto tiempo tardara en recorrer el mismo circuito si va a una velocidad de 100 km/h?
A sample of matter experiences a decrease in average kinetic energy as it continues to cool. One would anticipate that the particles will eventually come to a complete stop. The temperature at which particles should theoretically stop moving is absolute zero. Thus, option B is correct.
What theory directly contradicts concept of absolute zero?
All molecules are predicted to have zero kinetic energy and, as a result, no molecular motion at absolute zero (273.15°C). Zero is a hypothetical value (it has never been reached).
Absolute zero signifies that there is no kinetic energy involved in random motion. A substance's atoms don't move relative to one another.
Therefore, Kinetic energy because it can create heat which goes against the absolute zero. A gas molecule's kinetic energy tends to zero when the temperature reaches absolute zero.
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Please help
Me
I need to finish this I will give brainlest
Only the opposite edges of a rectangle's parallel and congruent angles are congruent. Although the sides and angles of a trapezoid may not always be identical, at least one set of its sides must be parallel.
what is parallel lines?In geometry, parallel lines are coplanar unlimited lines that never cross. In a particular three-dimensional space, the parallel planes represent the ones that never cross. Parallel curves are those with a constant minimum separation between them and no places of contact or intersection. In geometry, parallel lines are two lines which run in the exact same plane, evenly spaced apart, and hadn't cross. Both vertical and horizontal can be used. In commonplace items like train tracks, stacks of notebooks, and crossings for pedestrians, straight lines can be seen.
The form of Jackson's poster is best described as a rhombus. A quadrilateral with a rhombus has opposing sides that are parallel and all of its sides are equal. Additionally, it has congruent opposing angles. In addition to having parallel opposing sides, a parallelogram also has non-congruent sides and angles. Only the opposite edges of a rectangle's parallel and congruent angles are congruent. Although the sides and angles of a trapezoid may not always be identical, at least one set of its sides must be parallel.
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Provide an appropriate response. From a group of 496 students, every 49th student starting with the 3rd student is selected. Identify the type of sampling used in this example, Select one: A. Cluster sampling B. Systematic random sampling C. Stratified sampling D. Simple random sampling
Systematic random sampling is used when selecting every nth item from a list of items. In this example, every 49th student starting with the 3rd student is selected.
Option B. Systematic random samplingSystematic Random Sampling of 496 StudentsIn systematic random sampling, a list of items is created and every nth item is selected for the sample. This technique is useful when selecting a representative sample from a large population of items. In the example given, 496 students were listed and every 49th student starting from the 3rd student was selected. This is a systematic random sampling technique because the items were selected in a systematic and random fashion. The selection of every 49th student starting from the 3rd student ensures that the sample is representative of the population while also randomizing it so that all students have an equal chance of being selected.
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fill in the table using this function rule
Can somebody help me if you know what this is
Answer:
\(f^{-1}x=\frac{2x}{x-1}\)
A farmer sells 8.2 kilograms of apples and pears at the farmer's market. 1/4 of this weight is
apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's
Answer:
6.15 kilograms of pears
Step-by-step explanation:
The total is 8.2 kilograms. Since 1/4 of the weight is apples, we know that 3/4 of the weight is pears. So we multiply 8.2*0.75.
8.2*0.75=6.15
Therefore, the farmer sold 6.15 kilograms of pears at the farmer's market.
50 POINTS WILL GIVE BRAINLIEST Use the drawing tools to form the correct answer on the grid. Caroline is planting flowers in her garden. She plants her first 7 flowers in 4 minutes. After 12 minutes, she has planted 21 different flowers. Plot four data points and the line of best fit to model how long it takes Caroline to plant flowers.
Answer:
(4, 7)(12, 21)(7, 12.25)(21, 36.75)Step-by-step explanation:
The y axis shows the number of flowers planted.
The x axis shows the number of time that passes in minute.
She plants her first 7 flowers in 4 minutes.
7 represents the number of flowers planted so that will be the y coordinate.
4 minutes represents the number of time that passes so that will be the x coordinate.
(4, 7) will be the first point.
After 12 minutes, she has planted 21 different flowers.
12 minutes represents the number of time that passes so that will be the x coordinate.
21 represents the number of flowers planted so that will be the y coordinate.
(12, 21) will be the second point.
We can find the unit rate that she plants flowers in.
7 / 4 = 1.75 flowers per minute
21 / 12 = 1.75 flowers per minute.
If we divide or multiply this value to the x and y coordinates, we can find new points.
Lets multiply 1.75 to (4, 7)
(4 * 1.75, 7 * 1.75)
(7, 12.25)
Lets multiply 1.75 to (12, 21)
(12 * 1.75, 21 * 1.75)
(21, 36.75)
Best of Luck!
Answer:
Make a line from (4,7) to (12,21)
Step-by-step explanation:
what the second answer
Answer:
1. y' = 3x² / 4y²
2. y'' = 3x/8y⁵[(4y³ – 3x³)]
Step-by-step explanation:
From the question given above, the following data were obtained:
3x³ – 4y³ = 4
y' =?
y'' =?
1. Determination of y'
To obtain y', we simply defferentiate the expression ones. This can be obtained as follow:
3x³ – 4y³ = 4
Differentiate
9x² – 12y²dy/dx = 0
Rearrange
12y²dy/dx = 9x²
Divide both side by 12y²
dy/dx = 9x² / 12y²
dy/dx = 3x² / 4y²
y' = 3x² / 4y²
2. Determination of y''
To obtain y'', we simply defferentiate above expression i.e y' = 3x² / 4y². This can be obtained as follow:
3x² / 4y²
Let:
u = 3x²
v = 4y²
Find u' and v'
u' = 6x
v' = 8ydy/dx
Applying quotient rule
y'' = [vu' – uv'] / v²
y'' = [4y²(6x) – 3x²(8ydy/dx)] / (4y²)²
y'' = [24xy² – 24x²ydy/dx] / 16y⁴
Recall:
dy/dx = 3x² / 4y²
y'' = [24xy² – 24x²y (3x² / 4y² )] / 16y⁴
y'' = [24xy² – 18x⁴/y] / 16y⁴
y'' = 1/16y⁴[24xy² – 18x⁴/y]
y'' = 1/16y⁴[(24xy³ – 18x⁴)/y]
y'' = 1/16y⁵[(24xy³ – 18x⁴)]
y'' = 6x/16y⁵[(4y³ – 3x³)]
y'' = 3x/8y⁵[(4y³ – 3x³)]
16) Solve for side AB.
AB-
Round your answer to the nearest hundredth.
A) 5.45
B) 6.45
C) 7.45
Answer:
AB= 7.45
Anwer C)
Step-by-step explanation:
Cos (angle) = Nearest side / Huypothenuse
Cos(20) = 7 / AB
Cos(20) * AB = (7 /AB) * AB
Cos (20) * AB = 7
(Cos(20) *AB) / Cos(20) = 7 / Cos(20)
AB = 7 / cos(20)
AB= 7.45
An insurance company claims that in the population of homeowners, the mean annual loss from fire is u-$5000 with a standard deviation of o-$250
distribution of loss is strongly right-skewed: Many policies have $0 loss, but a few have large losses.
If we create a sampling distribution with a sample of 64 homeowners, what is the z-score that corresponds to a sample average of $5100?
Round to four decimals
Type your answer.
1 point
Answer:
To find the z-score, we use the formula:
z = (x - mu) / (sigma / sqrt(n))
where:
x = sample mean = $5100
mu = population mean = $5000
sigma = population standard deviation = $250
n = sample size = 64
Substituting the values, we get:
z = (5100 - 5000) / (250 / sqrt(64))
z = 2.56
Therefore, the z-score that corresponds to a sample average of $5100 is 2.56 (rounded to four decimals).
Step-by-step explanation:
I clicked on the black picture. thought is was the box to enter the answer.
help me with this thank you
Answer: think it’s c 4/28
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Find the value of 35÷c when c= 7.
Answer:
5
Step-by-step explanation:
when c = 7,
substitute 7, into 35÷c
35 ÷ 7 = 5
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Use the information to answer the question.
A spinner had 5 equal sections, labeled A through E. After 100 spins, the spinner had landed on section A a total of 45 times.
Which two reasons would best explain why the expected probability and observed probability did not match?
A. The surface of the spinner was not even.
B. The speed of each spin was not consistent.
c. The size of each spinner section was equal.
D. The number of spins did not match the number of sections.
O A. The surface of the spinner was not even
UB. The speed of each spin was not consistent.
c. The size of each spinner section was equal.
UD. The number of spins did not match the number of sections.
Sorry hindi ko alam yan i
what is the value of r
Since 69º alongside r form a straight line, then they form together a 180º angle. This means that:
69º + r = 180º
We need to find a number that added to 69º is 180º. This number is
180º - 69º = 111º
Since
69º + 111º = 180º
then
r = 11º
Answer: r = 111º