He earns $25 per hour for training and $15 per hour for data entry support. Steven can work no more
than 40 hours a week. He wants to use linear programming techniques to optimize his income.
Part A
Construct a model to represent the amount of time Steven can spend on data entry and training. Be sure
to define your variables. Sketch a graph of your model.
Part B
While Steven would like to spend most of his time training, the number of hours spent training cannot
exceed twice the number of hours doing data entry support. Steven must spend at least 10 hours each
week on data support. Construct a model to show the constraints. Sketch a graph of your model.
Part C
Find the vertices of the feasible region. Show your work or explain how you found the coordinates.
Part D
What is the maximum possible amount of money Steven can earn in a week given the constraints? Round
to the nearest dollar. Validate your solution to assess the reasonableness of you
Part E
The number of hours Steven worked one week resulted in a gross income of $800. From this, a portion was
withheld for benefits, retirement, and taxes. The total amount withheld from Steven’s check was $264.
The amount withheld for taxes was twice the amount withheld for retirement, and the amount withheld
for benefits was $24 less than the sum of retirement and taxes. Construct a system of equations that can
be used to find the amount of benefits, retirement, and taxes. Be sure to define your variables.
Part F
Solve the system from Part E. Validate your solution to assess the reasonableness of your model.
Answers
Ans
Step-by-step explanation:
Related Questions
Solve for h
h – 5 = -30
Make sure to show your work for full points!
Question 7 options:
HELP ME ASAP PLEASE
Answers
Answer:
H=-30+5
H=-25
Pls mark as brainliest
please help if you don't mind!
Answers
So there are 14 people who each hold 5 cards.
A bus covers a distance of 2.45 km in 2 min. What is the speed of bus?
Answers
Answer:
The speed of the bus is 74.242 kilometers per hour.
Step-by-step explanation:
Let suppose that bus runs at constant speed and that speed is measured in kilometers per hour. Then, the speed of the bus ([tex]v[/tex]), in kiometers per hour, is determined by following kinematic expression:
[tex]v = \frac{s}{t}[/tex] (1)
Where:
[tex]s[/tex] - Travelled distance, in kilometers.
[tex]t[/tex] - Time, in hours.
If we know that [tex]s = 2.45\,km[/tex] and [tex]t = 0.033\,h[/tex], then the speed of the bus is:
[tex]v = \frac{s}{t}[/tex]
[tex]v = 74.242\,\frac{km}{h}[/tex]
The speed of the bus is 74.242 kilometers per hour.
Someone help me ASAP
Answers
Answer:(
gof) = 12x+8
Step-by-step explanation:
to find gof plug f into g :
(g o f) = 6(2x+1)+2
then simplify:
( g o f) = 12x+8
Calculate the mean 9 10 6 8
Answers
Answer:
Mean: 8.25
Step-by-step explanation:
*I used a calculator*
2. 72 – 32 X4 what is the sks
Answers
Answer:
- 125.28
Step-by-step explanation:
2.72 - 32 × 4
2.72 - 128
- 125.28
Seahorses can swim about 1/2 mile per hr. If a seahorse needs to go 6 mi, how long will it take?
Answers
Answer:
12 hours
Step-by-step explanation:
to find the answer to this one you divide 6 by 1/2
6/1/2=12
it takes 12 hours for the sea horse to travel 6 miles
hope this helps :D
what statement about the point ( 0, 5 ) is true?
Answers
Find the indicated root.
Plz help
Answers
Answer:
[tex]x^{15/3} =x^{5}[/tex]
Step-by-step explanation:
Answer:
=x⁵
Step-by-step explanation:
It is a rule of indices that [tex]{x^{\frac{a}{b} } }=\sqrt[b]{x^{a} }[/tex]
Therefore:
[tex]\sqrt[3]{x^{15} }[/tex]
= [tex]x^{\frac{15}{3} }[/tex]
=x⁵
Which statement shows the associative property of addition?
(+7)+ 13 = U+ (7 + 13)
21+2y=2y+21
if m+ 3 = 18 then 18 = m + 3
Answers
Answer:
the first one is the correct answer i.e.
(+7) + 13 = U+ (7+13)
find the cost of fencing a rectangular Park of length 150 and breadth 100 at the rate of 20 per metre
please answer fast
Answers
Answer:
Rs 300000
Step-by-step explanation:
Given that,
Length of a rectangular park, l = 150 m
Breadth, b = 100 m
We need to find the cost of fencing the park at the rate of 20 per metre. The area of a rectangle is given by :
A = lb
So,
[tex]A=150\times100\\\\A=15000\ m^2[/tex]
Cost of fencing,
[tex]C=15000\times 20\\\\C=Rs\ 300000[/tex]
So, the required cost is Rs 300000.
A forest ranger spots a fire from 23-foot tower. The angle of depression from the tower to the fire is 15 degrees
Answers
Answer:
86 feet i think
Step-by-step explanation:
explain your reasoning to 10x−2x
Answers
Answer:8x
Step-by-step explanation: Basically 10x and 2x are both x so lets forget about them 10-2 is 8 now we can add back the x. Also when two numbers are both the same variables you can subtract or add like they are whole numbers
PLZ HELPP ME I WILL PUT AS THE BRAINLIEST IF U ANSWER
Answers
Answer:
A, I think
Step-by-step explanation:
Answer: 2t + 10
Step-by-step explanation:
2t represents the number of triangles and 10 bookends the sides of the triangle(s). Notice in the picture each triangle base has a value of two, no matter how many triangles are grouped together. Now notice that no matter how many triangles are grouped together, 5 will always be on the left and right of the final picture.
what is the answer to 1/4 + 8 * 8 + 6 + 8
Answers
6
Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6
tip. Write an equation that represents this scenario if the total cost was $39.
^ $11h - $6h = $39
B $11h + $6 = $30
C $6 - $11 = $39
D $39h + $11 = $6
Bi
o
Type here to search
Answers
Answer:
its B bud
Step-by-step explanation:
I will give BRAINLIEST!!
21 cm
Find the circumference. Round your answer to the nearest hundredth. Use 3.14 for
Enter the correct answer in the box.
Answers
Answer:
132 cm
I hope this helped!
Please help me, and if you answer explain how you got it because i'm having trouble understanding.
Answers
Step-by-step explanation:
Area: (2x - 7) * (3*2 + 4x)
(2x - 7) * (6 + 4x)
8x-42
Perimeter: 2(2x - 7) + 2(3*2 + 4x)
What is a rule or statement that is always true
Answers
The ratio of two positive numbers is 3:4. The sum
of their squares is 400. What is the sum ofthe num-
bers?
Answers
Answer:
12 and 16.
Step-by-step explanation:
Let both positive numbers be x and y.
3/4 = x/y....... equation 1
x² + y² = 400..... equation 2
From equation 1
3/4 = x/y
Cross multiply
3y = 4x
Divide both sides by 3
y = 4x/3
Substitute y = 4x/3 into equation 2
x² + y² = 400
x² + (4x/3)² = 400
x² + 16x²/9 = 400
Multiply through by 9
9x² + 16x² = 3600
25x² = 3600
Divide both sides by 25
x² = 3600/25
x² = 144
Take the square root of both sides
x = √144
x = 12
Substitute x = 12 into equation 1
3/4 = x/y
3/4 = 12/y
Cross multiply
3y = 12 x 4
3y = 48
Divide both sides by 3
y = 48/3
y = 16
A hotel sets up tables for a conference for 156 people if each tables seats 12 people, how many tables will be needed?
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.....................
find the arc length semicircle 10
Answers
hi please help me with this angles work for math class
Answers
Answer:
Angle A:60
Angle B:120
AngleD:60
Angle E:60
Angle F:120
Angle G:120
Angle H:60
Step-by-step explanation:
There are supplementary angles that add up to get 180 so 120+ __=180
60 is the missing Angle of A and D and since the lines are parallel and we also have vertical angles. The angles are going to be either 120 or 60
PLEASE HELP I NEED THE GRAPH NOTHING ELSE PLZZ
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the linear inequality shown below on the provided graph.
y > -3x + 8
Answers
giving brainliest *easy*
Answers
Answer:
000000000000+0000000000000000000=0 :)
Step-by-step explanation:
Please help me solve this 1/8 in.= 10 mi. 1 1/8 in.= ____ mi.
Answers
Answer:
2.1701x10^-5 mi
PLEASE HELP ASAP
Answers:
12
18
2
38
PLEASE HELP ASAP
Answers
Answer:
The scale factor is 1/2
Step-by-step explanation:
If the larger one is the original and one angle is 6 but then it gets dilated to 3. It would be 1/2 because 3 is a half of 6.
Hippie it’s help
Equivalent fractions
Answers
Answer:
What about them?
Step-by-step explanation:
Equivalent fractions meaning:
Equivalent fractions represent the same amount of distance or points on a number line. All equivalent fractions reduce to the same fraction in their simplest form. It's either you multiply to get and equivalent fraction or divide.
factor -1/4 out of -1/2x-5/4y
the factored expression is (i will mark brainlyest)
Answers
Answer:
2x + 5y divide each term by -1/4 it's simple
Is it greater than, equal to, or less than
Answers
Answer: Greater than