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Klio2033 [76]
4 years ago
6

Determine whether the sequence converges or diverges. If it converges, give the limit.

Mathematics
1 answer:
azamat4 years ago
4 0
The term to term rule is multiplying by 4 and if we continue doing this, we will move towards very large positive numbers.

This sequence, therefore, diverges to infinity
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Imagine you have some workers and some handheld computers that you can use to take inventory at a warehouse. There are diminishi
Svet_ta [14]

Answer:

a. $1.03

b. $0.93

c. 0.98

d. 2 workers

Step-by-step explanation:

a. Given that:

  • 1 computer : 1 worker : inventory 150 items per hour
  • 1 computer : 2 workers : inventory 200 items per hour
  • 1 computer : 3 workers : inventory 220 items per hour
  • 1 computer : 4+ workers : fewer than 235 items per hour
  • Cost: $100 per computer ; $25 per worker

The fixed production factor in the warehouse is the computer used:

-One computer used, but the number of users is varied to inventory a specified number of items.

-The variable production factor is the number of workers assigned per one computer.

#The cost of inventorying a single item by one worker is:

Cost=\frac{C_{pc}+Wage}{Items} \ , C_{pc}=\$125\\\\Cost_1=\frac{125+30}{150}\\\\\\=1.03

Hence, the cost of inventorying a single item is $1.03

b. Using the information provided above, the cost of inventorying a single item when two workers are assigned is :

Cost=\frac{C_{pc}+Wage}{Items} \ , C_{pc}=\$125\\\\Cost_2=\frac{125+2\times30}{200}\\\\\\=0.925

Hence, the cost of inventorying a single item is $0.93

c.Using the information provided above, the cost of inventorying a single item when three workers are assigned is :

Cost=\frac{C_{pc}+Wage}{Items} \ , C_{pc}=\$125\\\\Cost_3=\frac{125+3\times30}{220}\\\\\\=0.98

Hence, the cost of inventorying a single item is $0.98

d. To determine the most cost-effective job assignment, we calculate the cost of 4+ workers.

Take any number less than 235(say 234) as the inventory units:

Cost=\frac{C_{pc}+Wage}{Items} \ , C_{pc}=\$125\\\\Cost_4=\frac{125+4\times30}{234}\\\\\\=1.05

From our calculations, it's clear that two workers per computer costs the least amount($0.93) per unit item. Hence, it is best to assign two workers per computer.

4 0
4 years ago
Find the domain of the function. (Enter your answer using interval notation.)
Andreas93 [3]

Answer:

(-\infty,-9)\cup(-9,\infty)

Step-by-step explanation:

The domain of a rational function is all real numbers <em>except </em>for when the denominator equals 0.

So, to find the domain restrictions, set the denominator to 0 and solve for x.

We have the rational function:

s(y)=\frac{7y}{y+9}

Set the denominator to 0:

y+9=0

Subtract 9:

y\neq-9

So, the domain is all real numbers except for -9.

In other words, our domain is all values to the left of negative 9 and to the right of negative 9.

In interval notation, this is:

(-\infty,-9)\cup(-9,\infty)

And we're done :)

4 0
3 years ago
In the diagram, point O is the center of the circle. If<br> m∠ABC = 70°, what is m∠AOC?
marysya [2.9K]
I can’t see the picture I’m sorry if I can’t help you
6 0
3 years ago
Eva and her children went into a restaurant and where they sell
Sever21 [200]

Answer:

5 hotdogs and 2 tacos

Step-by-step explanation:

7 0
4 years ago
What's the number in between numbers -10 and 70?
damaskus [11]

Answer:

80

Step-by-step explanation:

the \: number \: between \: (-10)  \: and \: ( 70) \: \\  is \: same \: as \: (70) - ( - 10) = 70 + 10 \\ ans = 80

7 0
3 years ago
Read 2 more answers
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