Answer:
Solution : 
Step-by-step explanation:
![-3\left[\cos \left(\frac{-\pi }{4}\right)+i\sin \left(\frac{-\pi \:}{4}\right)\right]\:\div \:2\sqrt{2}\left[\cos \left(\frac{-\pi \:\:}{2}\right)+i\sin \left(\frac{-\pi \:\:\:}{2}\right)\right]](https://tex.z-dn.net/?f=-3%5Cleft%5B%5Ccos%20%5Cleft%28%5Cfrac%7B-%5Cpi%20%7D%7B4%7D%5Cright%29%2Bi%5Csin%20%5Cleft%28%5Cfrac%7B-%5Cpi%20%5C%3A%7D%7B4%7D%5Cright%29%5Cright%5D%5C%3A%5Cdiv%20%5C%3A2%5Csqrt%7B2%7D%5Cleft%5B%5Ccos%20%5Cleft%28%5Cfrac%7B-%5Cpi%20%5C%3A%5C%3A%7D%7B2%7D%5Cright%29%2Bi%5Csin%20%5Cleft%28%5Cfrac%7B-%5Cpi%20%5C%3A%5C%3A%5C%3A%7D%7B2%7D%5Cright%29%5Cright%5D)
Let's apply trivial identities here. We know that cos(-π / 4) = √2 / 2, sin(-π / 4) = - √2 / 2, cos(-π / 2) = 0, sin(-π / 2) = - 1. Let's substitute those values,
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As you can see your solution is the last option.
Answer:
y - 6 = -3 ( x - 7)
Step-by-step explanation:
Use one of the points.
m is the slope
The probability of the black sock is 6/26 for the white is 16/26 and for the brown is 4/26
A(t) = 500(1.0325)^t
500 is the initial deposit, t=0, A(0)=500
3.25% is the interest rate
t is in years
Let's go through the choices.
After 1 year ... A(1)=500. Don't check; it's A(0) that equals 500, A(1) is bigger.
The rate is 1.03%. Don't check; the base being exponentiated is 1 plus the rate.
Rate is 3.25%. TRUE that's why we have 1 + 0.0325 as the base.
Rate is 5%. Don't check.
Only one right answer.
