Perpendicular lines always have a slope that has a changed sign and is divided by one, ex: 2 => -1/2. For a slope of 4, you would make it negative and divide 1 by 4, so 4 => -1/4, making your answer A.
Answer:
True:
D.
E.
F
Step-by-step explanation:
First, you should know that the square of any odd number is also odd.
The easiest way to go about this is to plug in an odd number for n. Lets use 3:
Plug 3 into A:
![3^{2} -1=9-1=8](https://tex.z-dn.net/?f=3%5E%7B2%7D%20-1%3D9-1%3D8)
Plug 3 into B:
![3(3-1)=9-3 = 6](https://tex.z-dn.net/?f=3%283-1%29%3D9-3%20%3D%206)
Plug 3 into C:
![(3-2)^{2} = 2^{2} = 4](https://tex.z-dn.net/?f=%283-2%29%5E%7B2%7D%20%3D%202%5E%7B2%7D%20%20%3D%204)
Plug 3 into D:
![3^{2} +2 = 9+2=11](https://tex.z-dn.net/?f=3%5E%7B2%7D%20%2B2%20%3D%209%2B2%3D11)
Plug 3 into E:
![3(3-2) = 9-6 = 3](https://tex.z-dn.net/?f=3%283-2%29%20%3D%209-6%20%3D%203)
Plug 3 into F:
![(3-2)^{2}=1^{2} =1](https://tex.z-dn.net/?f=%283-2%29%5E%7B2%7D%3D1%5E%7B2%7D%20%20%3D1)
Answer:
$1,577.74
Step-by-step explanation:
You are going to want to use the continuous compound interest formula, which is shown below.
![A = Pe^{rt}](https://tex.z-dn.net/?f=A%20%3D%20Pe%5E%7Brt%7D)
<em>A = total
</em>
<em>P = principal amount
</em>
<em>r = interest rate (decimal)
</em>
<em>t = time (years)
</em>
<em />
First change 3% to its decimal form:
3% ->
-> 0.03
Next, we can plug in the values into the equation:
![A=8,000e^{0.03(6)}](https://tex.z-dn.net/?f=A%3D8%2C000e%5E%7B0.03%286%29%7D)
![A=9,577.74](https://tex.z-dn.net/?f=A%3D9%2C577.74)
The last step is to subtract 8,000 from 9,577.74:
![9,577.74-8,000=1,577.74](https://tex.z-dn.net/?f=9%2C577.74-8%2C000%3D1%2C577.74)
The total interest earned is $1,577.74
Answer:
3
Step-by-step explanation: