
1) Iteration means a repetition of a rule.
a)
Considering that we have the following data:
Rate of increase: 5% per year
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2) Then we can write out the following:

Plugging into n, the number of years we'll have:
Profits: $30,000 1st year
P: $31.500 2nd year
$33075 3rd year
(...) (...)
b) Since we want to know the predicted profit 15 years from the first year, then we can plug for that:

Note that we have plugged into n, n=15 years. Since the first year was $30,000 the profits.
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,

=
÷ 
=
÷ 
=
÷
=
÷
= 
As you can see your solution is the last option.
The answer would be 10^-3
Answer:
4/9
Step-by-step explanation:
1/3 divided by 3/4
find the reciprocal of 3/4
reciprocal of 3/4 = 4/3
multiply 1/3 x 4/3 which is 4/9