Answer:
A because its supposed to be on the y axis
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.
Solution
For this case we can use the following formula:
Where:
P= 400800 = present value
A= future value
r= 0.055 interest rate
n= 4, number of times that the interest is compund in a year (quarterly)
t= 4 years
Replacing we got:
then the interest would be:
Answer:
A is 3 x 3 = 9 so thats one multiple and the ones that have the same put in the middle
Step-by-step explanation:
Answer: 3.5 gallons
Step-by-step explanation:
From the question, we are told that Chanasia has 8.75 gallons of paint and that she wants to use 2/5 of the paint to paint her living room.
The gallons of paint that Chanasia will use be gotten by multiplying 2/5 by 8.75 gallons. This will be:
= 2/5 × 8.75 gallons
= 0.4 × 8.75 gallons
= 3.5 gallons.
This means that Chanasia will use 3.5 gallons to paint her living room
