9514 1404 393
Answer:
A. 3×3
B. [0, 1, 5]
C. (rows, columns) = (# equations, # variables) for matrix A; vector x remains unchanged; vector b has a row for each equation.
Step-by-step explanation:
A. The matrix A has a row for each equation and a column for each variable. The entries in each column of a given row are the coefficients of the corresponding variable in the equation the row represents. If the variable is missing, its coefficient is zero.
This system of equations has 3 equations in 3 variables, so matrix A has dimensions ...
A dimensions = (rows, columns) = (# equations, # variables) = (3, 3)
Matrix A is 3×3.
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B. The second row of A represents the second equation:
The coefficients of the variables are 0, 1, 5. These are the entries in row 2 of matrix A.
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C. As stated in part A, the size of matrix A will match the number of equations and variables in the system. If the number of variables remains the same, the number of rows of A (and b) will reflect the number of equations. (The number of columns of A (and rows of x) will reflect the number of variables.)
Answer:
$15,539.67
Step-by-step explanation:
Compound Interest Formula
where:
- A = final amount
- P = principal amount
- r = interest rate (in decimal form)
- n = number of times interest applied per time period
- t = number of time periods elapsed
Given:
- P = $11,000
- r = 5.8% = 0.058
- n = 4 (quarterly)
- t = 6 years
Substitute the given values into the formula and solve for A:
Therefore, the value of the investment after 6 years will be $15,539.67 to the nearest cent.
Answer:
10
Step-by-step explanation:
Answer:
1/24 chance
Step-by-step explanation:
To begin you would need to find the probability of picking a green sock which would be 3/9; and you could simplify this to 1/3.
After that you need to find the probability of picking a purple sock out of the 8 left, which would provide you with 1/8. To find the probability of both you would multiply 1/8 by 1/3 to find the combined probability which would leave you with 1/24.
Answer:
(1,-1)
Step-by-step explanation:
The solution to a system of equation means the x and y values if we were to solve both equations (of lines) simultaneously.
That is also known as the intersecting points.
The top-right part is known as the 1st Quadrant in a coordinate system.
Top-left is 2nd Quadrant.
Bottom left is 3rd Quadrant.
Bottom right is 4th Quadrant.
The values of x and y (positive or negative) of each quadrant is shown below:
- Quadrant 1: x +ve, y +ve
- Quadrant 2: x -ve, y +ve
- Quadrant 3: x -ve, y -ve
- Quadrant 4: x +ve, y -ve
The intersection point (solution) of the 2 lines shown is in the 4th quadrant, which has x values positive and y values negative.
From the answer choices, we see that 3rd answer choice goes with this -- (1,-1), so this is the correct choice.
