Operations that can be applied to a matrix in the process of Gauss Jordan elimination are :
replacing the row with twice that row
replacing a row with the sum of that row and another row
swapping rows
Step-by-step explanation:
Gauss-Jordan Elimination is a matrix based way used to solve linear equations or to find inverse of a matrix.
The elimentary row(or column) operations that can be used are:
1. Swap any two rows(or colums)
2. Add or subtract scalar multiple of one row(column) to another row(column)
as is done in replacing a row with sum of that row and another row.
3. Multiply any row (or column) entirely by a non zero scalar as is done in replacing the row with twice the row, here scalar used = 2
Number of weeks in a year: 52
Weeks in 7 years: 52 x 7 = 364
Final amount = Initial amount x (1 + interest)^(time period)
Final amount = 10,250 x (1.09)³⁶⁴
Final amount = $4.3 x 10¹⁷
42, because 50% or 1/2 of 28 is 14. Increasing it would be addinng it to the original number so 28+12=42
Answer:
11 pounds
Step-by-step explanation:
Let x pounds of chocolate costing $16.50 per pound mixed with 13 pound of trail mix costing $2.90 per pound to create a mixture worth $9.13,
Thus, the total quantity of trail mix = ( x + 13 ) pounds,
Also, the cost price of x pounds of chocolate + cost price of 13 pounds of trail mix = cost price of resultant trail mix
∵ total cost = number of pounds × price per pound
⇒ 16.50x + 2.90(13) = 9.13(x+13)
⇒ 16.50x + 37.7 = 9.13x + 118.69
⇒ 16.50x - 9.13x = 118.69 - 37.7
⇒ 7.37x = 80.99
⇒ x = 10.989145 ≈ 11
Hence, 11 pounds of chocolate should be mix.
