Answer: y = 2000x + 89000
Step-by-step explanation:
Given that;
initial purchase amount = $89,000
price after 6 years = $ 101,000
years = 6
now
slope = ( 101000 - 89000) / 6
slope = 12000 / 6
slope = 2000
therefore the linear equation that models the value of the house after x years will be;
y = 2000x + 89000
Focus on triangles DFC and DFE:
- They are both right triangles because DF is perpendicular to EC
- DC=DE
- DF is a common side
So, the two triangles are congruent. It follows that CF=FE, and in particular
![8x=3x+15 \iff 5x=15 \iff x=3](https://tex.z-dn.net/?f=8x%3D3x%2B15%20%5Ciff%205x%3D15%20%5Ciff%20x%3D3)
And since x=3, the length of EF is
![EF=3x+15=3\cdot 3+15=24](https://tex.z-dn.net/?f=EF%3D3x%2B15%3D3%5Ccdot%203%2B15%3D24)
Answer:
B
the middle one
Step-by-step explanation:
£45 600 is more than £43 000 and less than £150 000. According to the third • point, the tax will be 40%.
Also, according to the first • point, the first £11 000 will not be taxed. So, only £34 600 will actually be taxed.
To finally get the answer, Multiply £ 34 600 by the rate of 40%, and the result is £ 13 840.
Answer:
-2x+3y=7
or
2x-3y= -11
Step-by-step explanation:
-2x+3y= -4, which is Ax+By=C
A=-2 B=3 C=-4
m(slope)= -A/B
m= -(-2)/3
m= 2/3
y-y1= m (x-x1)
y-3= 2/3 (x-1)
Multiply by 3 cancels out the fraction
3y-9= 2 (x-1)
Distributive property
3y-9= 2x-2
-2x+3y-9= -2
From here it could go 2 ways:
1. -2x+3y= 7
or
2. 2x-3y+9= -2
so
2x-3y= -11
Hope this helps