NEED HELP ASAP
1 answer:
Amy earns $0.16 per unit for the work she does. For all units she produces in a week over 1,000, she receives $0.26. What were her weekly earnings if she produced 1,725 units in one week?
Answer: The number of units produced by Amy in one week
For the first 1000 units, she earns $0.16 per unit. Therefore, her total earning's for the first 1000 units is $0.16 x 1000 = $160
For the remaining 1725 - 1000 = 725 units, she earns $0.26. Therefore, her total earning for the 725 units is $0.26 x 725 = $188.5
Therefore, Amy's total for one week = $160 + $188.5 = $348.5
Hence, the option b. $348.50 is correct
You might be interested in
Answer:
Step-by-step explanation:
Given is a system of equations as
We have 5 variables and 3 equations
a) coefficient matrix of this system is
1 -4 0 -1 0\\
0 1 0 -2 0\\
0 0 0 1 2\\
We find that x3 has no coefficient in any of the equations so we can omit x3 and write as equations for 4 variables as
1 -4 -1 0\\
0 1 -2 0\\
0 0 1 2\\
b) Augmented matrix is
1 -4 -1 0\\ 7
0 1 -2 0\\ 3
0 0 1 2\\3
c) For row operations to ehelon form
we can do R1+4R2 = R1
We get
1 0 -9 0 \\ 19
0 1 -2 0 \\ 3
0 0 1 2 \\ 3
Now let us do R1 = R1+9R3 and R2 = R2+2R3
1 0 0 0 \\ 46
0 1 0 0 \\ 9
0 0 1 2 \\ 3
d) We find that there are infinite solutions to the system in parametric form, since x4 and x5 are linked with only one equation
e) x1 = 46, x2 = 9, x4+2x5 =3
Or x1 =46, x2 =9, x4 = 3-2x5, x5 = x5 is the parametric solution