Answer:
A (2,1)

So, right off the bat, you can tell that the ordered pair (2,1) is most definitely NOT the solution to this system.
Answer: x=1991/10
Step-by-step explanation: Step 1: Simplify both sides of the equation.
9x+10=2001−x
9x+10=2001+−x
9x+10=−x+2001
Step 2: Add x to both sides.
9x+10+x=−x+2001+x
10x+10=2001
Step 3: Subtract 10 from both sides.
10x+10−10=2001−10
10x=1991
Step 4: Divide both sides by 10.
10x
10
=
1991
10
x=
1991
10
Answer:
B. 5 + 2(3+2x) = x + 3(x+1)
Step-by-step explanation:
5 + 2(3+2x) = x + 3(x+1)
5 + 6 + 4x = x + 3x + 3
11 + 4x = 4x + 3
4x - 4x = 3 - 11
0 = - 8, which is absurd.
Hence the equation 5 + 2(3+2x) = x + 3(x+1) has no solution.
Answer:
<em>Steve should place $6,250 in the 5-year CD and $18,750 in the corporate bond</em>
Step-by-step explanation:
<u>System of Equations</u>
We need to find how Steve will distribute his investments between two possible options: one of them will pay 5% per annum and the other will pay 9% per annum. We know Steve has $25,000 to invest and wants to have an overall annual rate of return of 8%.
Let's call x to the amount Steve will invest in the CD paying 5% per annum and y to the amount he will invest in a corporate bond paying 9% per annum.
The total investment is $25,000 which leads to the first equation

If x dollars are invested at 5%, then the interest return is 0.05x. Similarly, y dollars at 9% return 0.09y. The overall return is 8% on the total investment, thus

Rearranging:

Simplifying

Multiplying by 100

Substituting in the first equation

And therefore

Steve should place $6,250 in the 5-year CD and $18,750 in the corporate bond
Answer
(-2,8)
Step-by-step explanation: