Answer:
Slope = 46.000/2.000 = 23.000
x-intercept = 6/23 = 0.26087
y-intercept = -6/1 = -6.00000
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Price of home = $220,000
Down payment = 20%
3 points at closing
30 years fixed rate mortgage at 7%
A.)The down payment :
20% of price
0.2 × $220,000 = $44,000
B.) Amount of the Mortgage :
Price - down payment
$220,000 - $44,000 = $176,000
C.) Amount to be paid for the 3 point of closing :
3% of mortgage amount
0.03 * $176,000 = $5,280
D.) monthly payment :
(mortgage amount(1 + rate)) / 30* 12
176000(1 + 0.07)
($176,000 + $12320) / 360
$523
E.) Total cost of interest :
0.07 * 176000 = $12,320
First list all the terms out.
e^ix = 1 + ix/1! + (ix)^2/2! + (ix)^3/3! ...
Then, we can expand them.
e^ix = 1 + ix/1! + i^2x^2/2! + i^3x^3/3!...
Then, we can use the rules of raising i to a power.
e^ix = 1 + ix - x^2/2! - ix^3/3!...
Then, we can sort all the real and imaginary terms.
e^ix = (1 - x^2/2!...) + i(x - x^3/3!...)
We can simplify this.
e^ix = cos x + i sin x
This is Euler's Formula.
What happens if we put in pi?
x = pi
e^i*pi = cos(pi) + i sin(pi)
cos(pi) = -1
i sin(pi) = 0
e^i*pi = -1 OR e^i*pi + 1 = 0
That is Euler's identity.
Answer:
The line passes (2, 5) and (4, 7) has slope:
S = (7 - 5)/(4 - 2) = 2/2 = 1
The line passes (1, 7) and (-4, 2) has slope:
S = (2 - 7)/(-4 - 4) = 5/-5 = -1
The multiplication of two slope is 1 x (-1) = -1
=> Two lines are perpendicular
Hope this helps!
:)
