Answer:
$241,400
Step-by-step explanation:
House costs: $200,000
Percentage increase: 20.7%
This means that the cost of the house increased by that percentage from 2012 to 2013. Therefore the following,
200,000 x 20.7/100 = 41,400
So the value of the house increased by $41,400 in this year.
Now we add to evaluate the total price of the house in 2013.
200,000 + 41,400 = 241,400
House price: $241,400
Given:
A line passes through (1,-2) and is perpendicular to
.
To find:
The equation of that line.
Solution:
We have, equation of perpendicular line.
![-4x+7y=21](https://tex.z-dn.net/?f=-4x%2B7y%3D21)
Slope of this line is
![m_1=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}](https://tex.z-dn.net/?f=m_1%3D-%5Cdfrac%7B%5Ctext%7BCoefficient%20of%20x%7D%7D%7B%5Ctext%7BCoefficient%20of%20y%7D%7D)
![m_1=-\dfrac{-4}{7}](https://tex.z-dn.net/?f=m_1%3D-%5Cdfrac%7B-4%7D%7B7%7D)
![m_1=\dfrac{4}{7}](https://tex.z-dn.net/?f=m_1%3D%5Cdfrac%7B4%7D%7B7%7D)
Product of slope of two perpendicular lines is -1.
![m_1\times m_2=-1](https://tex.z-dn.net/?f=m_1%5Ctimes%20m_2%3D-1)
![\dfrac{4}{7}\times m_2=-1](https://tex.z-dn.net/?f=%5Cdfrac%7B4%7D%7B7%7D%5Ctimes%20m_2%3D-1)
![m_2=-\dfrac{7}{4}](https://tex.z-dn.net/?f=m_2%3D-%5Cdfrac%7B7%7D%7B4%7D)
Now, slope of required line is
and it passes through (1,-2). So, the equation of line is
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
where, m is slope.
![y-(-2)=-\dfrac{7}{4}(x-1)](https://tex.z-dn.net/?f=y-%28-2%29%3D-%5Cdfrac%7B7%7D%7B4%7D%28x-1%29)
![4(y+2)=-7(x-1)](https://tex.z-dn.net/?f=4%28y%2B2%29%3D-7%28x-1%29)
![4y+8=-7x+7](https://tex.z-dn.net/?f=4y%2B8%3D-7x%2B7)
![4y+7x=7-8](https://tex.z-dn.net/?f=4y%2B7x%3D7-8)
![7x+4y=-1](https://tex.z-dn.net/?f=7x%2B4y%3D-1)
Therefore, the equation of required line is
.
Answer:
-7,-4,-3,+1,+8
Step-by-step explanation:
The bigger the negative number, the less it's worth