Answer:
Step-by-step explanation:
If a complex number is z=a+ib, then the trigonometric form of complex number is
where, 
and 
, 
is called the argument of z, 
.
The given complex number is -5i.
It can be rewritten as
Here, a=0 and b=-5. lies in 4th quadrant.
![[\because \text{In 4th quadrant }\theta=2\pi-\theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ctext%7BIn%204th%20quadrant%20%7D%5Ctheta%3D2%5Cpi-%5Ctheta%5D)
So, the trigonometric form is
Answer:
the correct answer is b :)))))!!!
One nice thing about this situation is that you’ve been given everything in the same base. To review a little on the laws of exponents, when you have two exponents with the same base being:
– Multiplied: Add their exponents
– Divided: Subtract their exponents
We can see that in both the numerator and denominator we have exponents *multiplied* together, and the product in the numerator is being *divided* by the product in the detonator, so that translates to *summing the exponents on the top and bottom and then finding their difference*. Let’s throw away the twos for a moment and just focus on the exponents. We have
[11/2 + (-7) + (-5)] - [3 + 1/2 + (-10)]
For convenience’s sake, I’m going to turn 11/2 into the mixed number 5 1/2. Summing the terms in the first brackets gives us
5 1/2 + (-7) + (-5) = - 1 1/2 + (-5) = -6 1/2
And summing the terms in the second:
3 + 1/2 + (-10) = 3 1/2 + (-10) = -6 1/2
Putting those both into our first question gives us -6 1/2 - (-6 1/2), which is 0, since any number minus itself gives us 0.
Now we can bring the 2 back into the mix. The 0 we found is the exponent the 2 is being raised to, so our answer is
2^0, which is just 1.
Answer:
The value now = $207,360
Step-by-step explanation:
Rate of increase = 20% per year = 20/100 = 0.2 per year
value 3 years ago = $120,000
interest at year 1:
20% of 120,000
= 0.2 × 120,000 = 24,000
Value at the end of year 1
= initial value + interest
= 120,000 + 24,000 = $144,000
In year 2:
20% of 144,000
= 0.2 × 144,000 = 28,800
Value at the end of year 2:
144,000 + 28,800 = $172,800
In year 3
0.2 × 172,800 = 34,560
Value at the end of year 3:
34,560 + 172,800 = $207,360
