Answer:
A. The system could have no solution or infinitely many solutions.
Step-by-step explanation:
Parallel lines have the same slope, meaning that they cannot intersect. So, the system can either have no solution (no intersection), or infinite possible solutions (the same line).
Answer:5
Step-by-step explanation:
6:30 is the ration
6/30 reduced is 1/5
1:5
so its 5
Answer:
The amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600
Step-by-step explanation:
Let x be the amount in the account at 12% interest
So, 6000-x is the amount in the second account at 7% interest

First account:
Second account : 
We are given that At the end of the first year he had earned $590 in interest.
So, 
So,the amount in the account at 12% interest is $3400
The amount in the second account at 7% interest =6000-x=6000-3400=2600
Hence the amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600
Answer:
We can use a trick here. Let's look at the first few exponents of i to realize this:
i^0 = 1
i^1 = i
i^2= -1
i^3 = -i
i^4 = 1
i^5 = i
i^6 = -1
i^7 = -i
we can see that the pattern (1, i, -1, -i) repeats. Since 82/2 = 41, and 41 is only divisible by 1, i^41 = i, and i^2 = -1. -1*i = -i, so i^82 = -i.
Step-by-step explanation: