A house on the market was valued at $472,000. After several years, the value increased by 8%. By how much did the house's value Increase in dollars? What is
the current value of the house?
The house's value Increase in dollars by $37,760.
The current value of the house is $509, 760.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
A house on the market was valued at $472,000.
After several years, the value increased by 8%.
Then, the value of house increased
= 472000 x 8/100
= $37,760
So, the current value of house
= 472000 + 37760
= $509, 760
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Which of the following expressions represents the value, in dollars, of a certain number of dimes, d, and pennies, p?
Answer:
If your answer choices are:
0.01d + 0.10p
0.10d + 0.01p
0.11dp
0.11d + p
A dime is 10% of a dollar and a penny is 1% of a dollar, or 0.10 and 0.01
Then 0.10d + 0.01p is the expression
Hope this helps!
210 divide by 3.5 in long division
Show work
Answer:
See attached photo for work
Step-by-step explanation:

When dividing 210 by 3.5 using long division, the quotient is 60.
Explanation:Dividing is a fundamental mathematical operation that involves splitting a quantity or set of items into equal parts. It is the inverse of multiplication, where one number, called the dividend, is separated into smaller portions or groups by another number, known as the divisor. The result is called the quotient. Division is denoted by the symbol "/", ÷, or ":".
When dividing 210 by 3.5 using long division, we start by dividing 2 by 3.5 which gives us 0 as the quotient. We then bring down the next digit, 1, and divide 21 by 3.5 which gives us 6 as the quotient. Finally, we bring down the last digit, 0, and divide 0 by 3.5 which gives us 0 as the quotient. Therefore, 210 divided by 3.5 is equal to 60.
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does anyone know how to solve this problem?
Solve for Z: -6Z = -7 + 11A
ASAP!!!
Answer:
\frac{-7+11A}{6}
Step-by-step explanation:
if you dont mind, i just need to know what is the final answer in standard form of the equation. please!
Answer:
I'm pretty sure it's (x-1)*(5x+8)*(3x^4-2x^2+4x-8)
Step-by-step explanation:
Bill need to build a rectangular harp pen. The pen mut have a perimeter of 24 meter
The cost of the fence used to make the rectangular sheep pen is £57.6. The result is obtained by multiplying the perimeter by the fencing price.
How to calculate the cost for fencing a building?The cost for fencing a building can be calculated by multiplying the price of a certain size of fence by the perimeter or the length side to be fenced.
Bill builds a rectangular sheep pen.
Perimeter, P = 24 mFencing cost = £1.20 per half meterFind the total cost of the fence!
The total cost of the fence will be
= P × fencing cost
= 24 m × £1.20 / ½ m
= 24 × £2.40
= £57.6
Hence, the fence to make the sheep pen will cost £57.6.
Your question is incomplete. But most probably your full question was
Bill needs to build a rectangular sheep pen. The pen must have a perimeter of 24 m. Every half meter of fencing costs him £1.20. Work out the cost of the fence used to make the sheep pen!
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Austin deposits $3000 into an account that pays simple interest at a rate of 4% per year. How much interest will he be paid in the first 4 years
Answer:
120 per year if im not wrong
Step-by-step explanation:
1% of 3000 is 30
30x4= 120
its 30x whatever percentage its at because 3000/100= 30
If a couple plans to have 11 children, how many gender sequences are there?
Believing a child may only be either a boy or a girl, B or G. There are only two potential genders as a result. They have 2048 possible gender sequences.
There are two conceivable gender sequences for an 11-child family. A family intends to give birth to 11xf. assuming a child can only be a boy or girl, B or G. There are only two potential genders as a result.
There are two possible genders for each child, and they can all be either male or female. As a result, there are \(2^n\) possible gender sequences.
Here, n=11,
So,
\(2^n=2048\) possible gender sequences.
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suppose and is the portion of the ellipse centered at the origin from the point to the point centered at the origin oriented clockwise.
This means we are considering only a part of the ellipse that is centered at the point (0,0) and moves in the direction of the hands of a clock.
The given question is asking about a portion of an ellipse centered at the origin and oriented clockwise. Let's break down the question and provide a clear and concise answer.
An ellipse is a curved shape that looks like a stretched-out circle. It has two main properties:
a major axis and a minor axis. The major axis is the longer distance across the ellipse, and the minor axis is the shorter distance.
In the given question, we are specifically talking about a portion of the ellipse. This means we are considering only a part of the entire ellipse.
When we say the portion is centered at the origin, it means that the center of the portion lies at the point (0,0) on the coordinate plane.
Now, let's talk about the orientation. Clockwise orientation means that if you were to walk along the portion of the ellipse, you would move in the direction of the hands of a clock.
To summarize, the given question is asking about a portion of an ellipse centered at the origin and oriented clockwise.
This means we are considering only a part of the ellipse that is centered at the point (0,0) and moves in the direction of the hands of a clock.
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Look at this triangle.
B
8 cm
A
22 cm
Work out length AB.
Answer:
23.41cm
Step-by-step explanation:
Using Pythagoras theorem
a²+b² = c²
Where a and b are sides of the triangle and c is the Hypotenuse.
If we substitute the values
B= 8 cm
A= 22 cm
22²+8² = c²
484 + 64= c²
√548 = c
C= 23.41
Hence, length AB is 23.41cm
CHECK THE ATTACHMENT
Annie can mow 1/6 of an acre in 50
minutes. how many acres can she mow
per hour?
If Annie can mow 1/6 of an acre in 50 minutes, then in an hour, she can mow 1/5 of an acre.
How many acres can Annie mow per hour?Given the data in the question;
Annie can mow 1/6 of an acre in 50 minuteshow many acres can she mow per hour?Let x represent the number of acres that Annie can mow in hour.
Also convert 1 hour to minutes
1 hour = (1 × 60)min = 60min
Annie can mow 1/6 of an acre in 50 minutes
Annie can mow x of an acre in 60 minutes
Hence;
1/6 × 60 = x × 50
60/6 = 50x
50x = 60/6
50x = 10
x = 10/50
x = 1/5
If Annie can mow 1/6 of an acre in 50 minutes, then in an hour, she can mow 1/5 of an acre.
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TRUE OR FALSE:
Researchers have a great opportunity to use secondary data created by people on social media and are very vocal in reacting on social platforms and answer surveys. Because of this, data privacy its not an issue for marketers to take into consideration when gathering consumer information and using it as reference for their analysis.
FalseExplanation:No, data privacy is an important issue that marketers need to take into account when gathering consumer information.
Although social media platforms and surveys can provide a vast amount of secondary data created by people who are active online, marketers must ensure that they are following ethical practices and protecting the privacy of individuals. This includes obtaining proper consent, protecting personal information, and ensuring that data is not misused or mishandled.
data privacy is a crucial aspect that marketers need to consider when collecting consumer information. Although social media and surveys can be useful sources of secondary data, ethical practices and privacy protection should always be a priority.
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ariana was looking at rent costs for 5 55 apartments. each rent was a different amount between $ 1 , 000 $1,000dollar sign, 1, comma, 000 and $ 1 , 400 $1,400dollar sign, 1, comma, 400 per month, except for one apartment whose rent was $ 4 , 800 $4,800dollar sign, 4, comma, 800 per month. [hide data] ariana looked at the mean and median of the rents. then, she decided to remove the $ 4 , 800 $4,800dollar sign, 4, comma, 800 rent from the set and recalculate the mean and median. how will removing this rent affect the mean and median? choose 1 answer: choose 1 answer:
If Ariana removes the $4,800 rent from the set, the mean and median of the remaining rents will decrease because $4,800 is a very high value compared to the other rents.
Before removing the $4,800 rent, the mean can be calculated by adding up all the rents and dividing by the total number of rents (5):
Mean = (1,000 + 1,200 + 1,300 + 1,400 + 4,800) / 5 = 2,540
The median is the middle value in the set, which is 1,300.
After removing the $4,800 rent, the new mean can be calculated by adding up the remaining rents and dividing by the new total number of rents (4):
New Mean = (1,000 + 1,200 + 1,300 + 1,400) / 4 = 1,225
The new median is still 1,300 because it is the middle value in the remaining set.
Therefore, removing the $4,800 rent will decrease both the mean and median of the remaining rents.
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Someone please help me out with this one. If LM=XY, then LM-GH=
LM=XY, then LM-GH= XY - GH and this illustrates the subtraction property of equality.
How to illustrate the information?It should be noted that the subtraction property of equality simply implies that when the same number is subtracted form both sides, then the two sides will still remain equal.
In this case, when LM=XY, then LM-GH= XY - GH. This illustrates the subtraction property.
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help please ????????
Answer:
Check out ironic p a n d u h on you tube
Step-by-step explanation:
the awnser is nowhere
15. TIGERS The data show the estimated tiger population in India for various years.
Year
2006 2010 2014 2018
Tiger Population 1411 1706 2226 2967
Source: National Tiger Conservation Authority
a. Use the points (6, 1411) and (18, 2967) to write an equation of the line of fit in slope-intercept form. Let x
be the number of years since 2000.
b. If the trend continues, what will India's tiger population be in 2027?
Answer:
Step-by-step explanation:
a. To find the equation of the line of fit, we need to first calculate the slope of the line using the two given points:
slope = (y2 - y1) / (x2 - x1)
slope = (2967 - 1411) / (18 - 6)
slope = 155.6
Now that we have the slope, we can use the point-slope form of a line to find the equation:
y - y1 = m(x - x1)
y - 1411 = 155.6(x - 6)
Finally, we can rearrange this equation into slope-intercept form:
y = 155.6x - 438.4
Therefore, the equation of the line of fit in slope-intercept form is:
Tiger Population = 155.6(years since 2000) - 438.4
b. To find the estimated tiger population in 2027, we need to substitute 27 for years since 2000 in the equation we found in part (a):
Tiger Population = 155.6(27) - 438.4
Tiger Population = 4200.8
Therefore, if the trend continues, India's tiger population in 2027 is estimated to be about 4201.
What does esperanza realize when she tries to save sally from making a bad decision or being exploited by the boys in "the monkey garden"?
Esperanza is aware of Sally's desire to avoid having to return back to school so you would not need to fret about her father, rumors, or feeling out of place.
Are monkeys suitable as pets?Monkeys are often undesirable pets. Yes, for a while, some may be extremely sweet. However, the truth is that monkeys cannot live in a human home because they are too dangerous and require too much care. These concerns pertain to apes and are just as significant (chimpanzees, orangutans, and gibbons).
Are we all apes?People and monkeys are both considered primates. But neither monkeys or indeed any other current ape species are linked to people. Yes, chimpanzees and humans both descend from apes.
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Estimate σA and σB using the loan allocation deviation formula.
A. σ(A) = 12.25% ; σ(B) = 14.14%
B. σ(A) = 17.32% ; σ(B) = 20.0%
C. σ(A) = 16.33% ; σ(B) = 14.14%
D. σ(A) = 14.14% ; σ(B) = 16.33%
The formula for allocation deviation is as follows:σA = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)σB = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)
Here,
σ1 = 15%
σ2 = 10%
w1 = 50%,
w2 = 50%
Substituting the values in the above formula:
σA = (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)
= (0.0225 + 0.0100)^(1/2)
= 0.0158 = 1.58%σB
= (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)
= (0.0225 + 0.0100)^(1/2)
= 0.0158
= 1.58%
Hence, the correct option is
D. σ(A) = 14.14%;
σ(B) = 16.33%.
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0.4(x - 2) = -14 (find x)
-2/5 (y + 6) =16 (find y)
MY QUESTION KEEPS GETTING DELETED BY KATIE :< pls stop
Answer:
x = -33, y= -46
Step-by-step explanation:
0.4(x - 2) = -14
0.4x - 0.8 = -14
0.4x = -13.2
x = -33
-2/5(y + 6) = 16
-2/5y - 2 2/5 = 16
-2/5y = 18 2/5
y = -46
Answer && Step-by-step explanation:
divide both sides by .4
.4/.4(x-2)=-14/.4 == x-2=-35
add 2 to both sides
x-2+2=-35+2 ==x=-33
x=-33 is your answer
Use the same methodology for finding y
Let D = {16,19.21}, E = {16,18, 19,20} and F = {15, 17, 18,19,21). List the elements in the set DUE
All the elements in DUE are {16,18,19,20,21}. And the elements are combined elements of D and E.
What is the union of sets?The set containing all the components that are present in both sets A and B, or both sets A and B combined, is referred to as the union of two sets A and B. The symbol "aUb" stands for the union of the sets a and.
Given, sets D = {16,19.21},
E = {16,18, 19,20},
and F = {15, 17, 18,19,21}.
To find the elements in the set DUE:
Here, we have to find the collection of sets D and E
And we have the elements of,
D = {16,19.21}
And E = {16,18, 19,20}.
To find the union of sets, we take all the elements in the union set.
And while doing, we should not repeat the elements.
And put the elements in the ascending order.
So, the union of set D and E is,
DUE = {16,18,19,20,21}
Therefore, the DUE is {16,18,19,20,21}.
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Sherrod and Kamar are planning to drive at most 900 miles road trip. Sherrod drives at 60 miles per hour, and Kamar at 50 miles per hour. Let x represent the distance Sherrod drives and y represent the distance Kamar drives.
a. Write an inequality that represents the miles that Sherrod and Kamar drive.
b. GIve 2 possible combinations of miles that Sherrod and Kamar can drive that satisfy the inequality.
The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.
a. The inequality that represents the miles that Sherrod and Kamar drives is; x + y ≤ 900b. Two possible combination of x and y are; (600, 300) and (300, 600)Reasons:
a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles
Sherrod's speed = 60 mph
Kamar's speed = 50 mph
The distance Sherrod drives = x
The distance Kamar drives = y
a. The miles driven by Sherrod and Kamar is given by the inequality;
x + y ≤ 900b. Two possible combinations are;
First possible combination;
Sherrod drives for 10 hours, which gives;
Distance Sherrod drives = 60 mph × 10 hour = 600 miles
Kamar drives for 900 miles - 600 miles = 300 miles
Which gives;
Sherrod drives for 600 miles and Kamar drives for 300 miles
First combination; (600, 300)Second possible combination;
The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles
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For the following set of coupled differential equations: dx/dt= 2.x1 +x2
The solution to the coupled differential equations dx/dt= 2.x1 +x2 is x1 = t^2 + 2t and x2 = t^2, We can then integrate both sides of the equation to get the following: ln(2.x1 +x2) = t + c
To solve this set of differential equations, we can use the method of separation of variables. This method involves separating the variables in each equation so that they can be solved independently. In this case, we can separate the variables as follows: dx/(2.x1 +x2) = dt
We can then integrate both sides of the equation to get the following: ln(2.x1 +x2) = t + c
where c is an arbitrary constant. We can then exponentiate both sides of the equation to get the following 2.x1 +x2 = e^t.e^c
We can then substitute the initial conditions into this equation to get the following 2.x1 +x2 = e^t.1
where x1(0) = 0 and x2(0) = 0. This gives us the following solution for x1 and x2 x1 = t^2 + 2t and x2 = t^2
Here are some additional explanations:
The method of separation of variables is a general method for solving differential equations. It can be used to solve a wide variety of differential equations, including coupled differential equations.The initial conditions are the values of x1 and x2 at time t = 0. In this case, the initial conditions are x1(0) = 0 and x2(0) = 0.The solution to the coupled differential equations is x1 = t^2 + 2t and x2 = t^2. This solution can be verified by substituting it back into the differential equations.To know more about variable click here
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x and y are unknowns and a,b,c,d,e and f are the coefficients for the simultaneous equations given below: a∗x+b∗y=cd∗x+e∗y=f Write a program which accepts a,b,c,d, e and f coefficients from the user, then finds and displays the solutions x and y.
Here's a Python program that solves the simultaneous equations given the coefficients a, b, c, d, e, and f:
def solve_simultaneous_equations(a, b, c, d, e, f):
determinant = a * e - b * d
if determinant == 0:
print("The equations have no unique solution.")
else:
x = (c * e - b * f) / determinant
y = (a * f - c * d) / determinant
print("The solutions are:")
print("x =", x)
print("y =", y)
# Accept coefficients from the user
a = float(input("Enter coefficient a: "))
b = float(input("Enter coefficient b: "))
c = float(input("Enter coefficient c: "))
d = float(input("Enter coefficient d: "))
e = float(input("Enter coefficient e: "))
f = float(input("Enter coefficient f: "))
# Solve the simultaneous equations
solve_simultaneous_equations(a, b, c, d, e, f)
```
In this program, the `solve_simultaneous_equations` function takes the coefficients `a`, `b`, `c`, `d`, `e`, and `f` as parameters. It first calculates the determinant of the coefficient matrix (`a * e - b * d`). If the determinant is zero, it means the equations have no unique solution. Otherwise, it proceeds to calculate the solutions `x` and `y` using the Cramer's rule:
```
x = (c * e - b * f) / determinant
y = (a * f - c * d) / determinant
```
Finally, the program prints the solutions `x` and `y`.
You can run this program and enter the coefficients `a`, `b`, `c`, `d`, `e`, and `f` when prompted to find the solutions `x` and `y` for the given simultaneous equations.
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The diagram shows an open rectangular box ABCDEFGH.
A straight stick AGM rests against A and G and extends outside the box to M.
a. Calculate the angle between the stick and the base of the box.
b. AM= 30 cm.
Show that GM= 4.8 cm, correct
to 1 decimal place.
The angle between the stick and the base of the box is 77. 9 degrees
How to determine the angleTo determine the angle between the stick and the base, we have to know the trigonometric identities.
These identities are;
sinecosinecotangenttangentsecantcosecantFrom the information given, we have;
sin A = FB/AB
Given that;
GB = 14.5cm
AB = 18. 6cm
substitute for the length of the sides, we have;
sin A = 14.5/18. 6
Divide the values, we have;
sin A = 0. 7796
Find the inverse sine
A = 77. 9 degrees
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72 is 25% of students that have a cat, how many total students are there?
Answer:
288
Step-by-step explanation:
1. Use the formula: P*T=N
P = percent, T = Total, and N is the other number.
2. So, P*T=N, therefore, 25%*T=72
3. Simplify .25*T=72
4. So get the Total (T) by itself, you have to divide both sides by .25
5. T = 72/.25
6. 288
Find the volume of this cylinder.
As soon as possible please
Answer:
36
Step-by-step explanation:
pi (3) x 1^2 x 12 = 3 x 12 = 36
a car travels at 54 km/h for first 20seconds , 36km/h for next 30seconds and finally 18km/h for next 10 seconds find the averade velocity
Answer:
39 km/h
Step-by-step explanation:
Velocity is the rate of change of distance in a given direction with time. Mathematically,
Velocity = Displacement/time
Like speed, velocity is measured in Km/h or m/s.
Given that the car travels at 54 km/h for first 20seconds,
since 60 seconds = 1 minute and
60 minutes = 1 h,
20 seconds
= 20/(60 ×60) h
= 1/180 h
In the same vein,
30 seconds
= 30 / (60 ×60) h
= 1/120 h
10 seconds
= 10/(60 ×60) h
= 1/360 h
Hence if the car travels 54 km/h for 10 seconds, the distance covered
= 54 × 1/180
= 3/10 Km
If the car travels 36km/h for next 30seconds, the distance covered
= 36 × 1/120
= 3/10 Km
If the car travels 18km/h for next 10 seconds, the distance covered
= 18 × 1/360
= 1/20 km
Total distance = 3/10 Km + 3/10 Km + 1/20 Km
= 13/20 Km
Total time spent = 20 + 30 + 10
= 60 seconds
= 1/60 h
Average velocity = 13/20 km/ 1/60 h
= 39 Km/h
f(x)=x^3-3x^2+6Find the critical values
We get two critical values: x = 0 and x = 2 So, the critical values of the function f(x) = x^3 - 3x^2 + 6 are x = 0 and x = 2.
To find the critical values of the function f(x) = x^3 - 3x^2 + 6, we need to take the first derivative of the function and find where it equals zero.
f'(x) = 3x^2 - 6x
Setting this equal to zero, we get:
3x^2 - 6x = 0
Factor out 3x:
3x(x - 2) = 0
So the critical values are x = 0 and x = 2. These are the values where the slope of the function changes from positive to negative or vice versa, indicating a possible maximum or minimum point.
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Work out the area of the shaded
Hi there!
\(\large\boxed{73m^2}}\)
Once again, divide the figure into 3 rectangles:
Top rectangle:
3m × 5m = 15m²
Long rectangle (subtract 5m from 9m to get the width):
12m × 4m = 48m²
Bottom rectangle:
2m × 5m = 10m²
Add up areas:
15m² + 48m² + 10m² = 73m²