Answer:
Step-by-step explanation:
<u>Carlos made:</u>
<u>Lily made:</u>
<u>Together they made:</u>
- 12C + 35 + 12L = 12(C + L) + 35
Lily is right. We don't know what 120 means in Carlos's equation, he should put 12L for Lily.
Answer:
I=10,200
Step-by-step explanation:
I=PRT
P=8000
R=8.5
T=15 days
I=8000*0.085*15
I=10,200
1. The fractions shown are 3/4 and 6/8.
2. The multiplier is 2.
3. The fractions shown are 12/18 and 4/6
4. The divisor is 3.
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.
