Futions Questions Nathan deposits $170 into a savings account that pays 2 .25% simple interest annually. If Nathan makes no depo
1 answer:
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Answer:
The system is inconsistent.
Step-by-step explanation:
The system is
The associated matrix to the system is
Now we use row operations to find the echelon form of the matrix:
1. We substract to row 2, two times the row 1.
We substract to row 3, three times the row 1.
We substract to row 4, four times the row 1 and obtain the matrix
2. We multiply the second row of the preview step by -1/4. We obtain the matrix
3.
We add to row 3, eight times the row 2.
We add to row 4, fourtheen times the row 2 and obtain the matrix
4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix
Using backward substitution we have that
, then
and this is absurd. Then The system is inconsistent.
The illegal values of b are when the denominator equals 0.
So, gives you (b-4)(b+2)=0
Therefore, b=4 and b=-2, which is answer A.