Answer:
Option C
Step-by-step explanation:
- For the matrix A of order
to be invertible, its determinant must not be equal to zero, |A| 
0, 
exists if- AC = CA = I, where I is identity matrix.
- The homogeneous equation with coefficient matrix A has a unique solution:
AB = 0, B = 
Thus, B = (0, 0, 0......., 0) is a unique solution
2. The non - homogeneous equation system with coefficient matrix A has a unique solution:
For an equation- AY = D
Y = 
is a unique solution
3. Every non homogeneous equation with coefficient matrix A is not consistent as:
For an equation- AY = D, has a solution.l Thus coefficient matrix is inconsistent whereas augmented matrix is.
4. Rank of matrix A = n, Thus the column space of A is 
5. Since, column space of A = , thus x→xA is one-to-one
<span>Given:
Net profit before tax = $208,000
Total equity = $500,000
Total assets = $330,000
Total liabilities = $150,000
Current assets = $64,000
Current liabilities= $45,000
Return on Equity = Net Income / Shareholder's equity = 208,000 / 500,000 = 0.416 or 41.6%.
Return on Assets = Net Income / Total Assets = 208,000 / 330,000 = 0.63 or 63%
Debt ratio = Total Liabilities / Total Assets = 150,000 / 330,000 = 0.4545 or 45.45%
Debt to equity ratio = Total liabilities / Total Equity = 150,000 / 500,000 = 0.30 or 30%
Current ratio = Current Assets / Current Liabilities = 64,000 / 45,000 = 1.42</span>
Answer: He needs 9 hours to finish the task.
Step-by-step explanation:
Hi, first we have to subtract the gallons of water already in the tank (75) to the total capacity of the tank (300).
300-75 = 225
He needs to fill 225 gallons.
Since the pump Ross uses can fill 25 gallons of water per hour, the proportion is :
25 g / 1h
For 225 gallons:
225 g / x hours
Solving for x
25/1 = 225/x
x= 225/ (25/1)
x = 9 hours
Julie will use 13 1/4 cups of oatmeal.
