Answer:
A system has infinitely many solutions when it is consistent and the number of variables is more than the number of nonzero rows in the rref of the matrix. For example if the rref is ��has solution set (4-3z, 5+2z, z) where z can be any real number.
<h3>
Answer: 1034.44 dollars</h3>
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Work Shown:
A = P*(1+r/n)^(n*t)
A = 1000*(1+0.0085/1)^(1*4)
A = 1034.43596172007
A = 1034.44
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Notes:
- P = 1000 is the deposit or principal
- r = 0.0085 is the decimal form of the annual interest rate of 0.85%; we can say 0.85% = 0.85/100 = 0.0085
- n = 1 represents how many times per year we're compounding the money (ie annually)
- t = 4 = number of years
- The result of 1034.44 dollars is only possible if you do not withdraw any of the money in the four year time period.
Either X or Y is negative. One has to be
Answer: Yes. The new average is 3
<u>Step-by-step explanation:</u>
25 students at 3 siblings each = 75 siblings
26 students has 75 siblings + 8 siblings = 83 siblings
New average is 83 siblings ÷ 26 students = 3.19 siblings per students
