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Lana71 [14]
2 years ago
15

The total cost, in dollars, to order x units of a certain product is modeled by C(x)=5x²+320 . According to the model, for what

size order is the cost per unit a minimum?
A) An order of 1 unit has a minimum cost per unit.

B) An order of 8 units has a minimum cost per unit.

C) An order of 80 units has a minimum cost per unit.

D) An order of 320 units has a minimum cost per unit.
Mathematics
1 answer:
lora16 [44]2 years ago
7 0

Answer:

The minimum cost per unit is obtained for an order of 8 units.

Step-by-step explanation:

Since the total cost is modeled by;

C(x)=5x²+320

Then;

1 unit costs; C(x)=5(1)²+320 = 325

cost per unit 325/1 = 325

8 units costs; C(x)=5(8)²+320 = 640

cost per unit = 640/8 = 80

80 units costs; C(x)=5(80)²+320 = 32320

Cost per unit = 32320/80 = 404

The minimum cost per unit is obtained for an order of 8 units.

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X=4 inches
Lady_Fox [76]

Answer:

i believe the answer is 142.42 in²

Step-by-step explanation:

what i did was 'separate' the cone and cylinder-

so the volume of cylinder formula is-

v=πr²h

and the volume for a cone is-

v=πr²h/3

now let us fill in the formulas with the information that we have-

v=π*2²*10=125.66

v=π*2²*4=16.76

now let us add the sums together-

125.66+16.76=142.42 in²

good luck :)

i hope this helps

**please let me know if this is incorrect/not what you're looking for or both**

have a nice day!

7 0
2 years ago
The roof of a barn rises vertically 2.5 meters through the horizontal distance of 10 meters. What is the pitch (slope) of the ro
Lesechka [4]

Answer:

The pitch (slope) of the roof is 0.25  or 25\%

Step-by-step explanation:

we know that

The formula to calculate the slope  is equal to

m=\frac{y2-y1}{x2-x1}

where

In this problem we have

{y2-y1}=2.5\ m  -----> is the vertical distance (rises)

{x2-x1}=10\ m   -----> is the horizontal distance (run)

substitute the values

m=\frac{2.5}{10}=0.25

convert to percentage form

0.25*100=25\%

6 0
3 years ago
Solve |2x - 5| = 4. {x | x = -4.5 or x = 4.5} {x | x = 0.5 or x = 4.5} {x | 0.5 < x < 4.5}
kotykmax [81]

<u><em>Answer:</em></u>

{x | x = 0.5 or x = 4.5}

<u><em>Explanation:</em></u>

<u>Before we begin, remember that:</u>

The modulus gives the positive value of what's inside it.

<u>This means that:</u>

|a| = |-a| = a

<u>Now, for the given, we have:</u>

|2x-5| = 4

<u>From the above rule, we can deduce that:</u>

<u>either:</u>

2x - 5 = 4

2x = 4 + 5 = 9

x = 4.5 ............> first solution

<u>Or:</u>

2x - 5 = -4

2x = 5-4 = 1

x = 0.5 ..........> second solution

<u>Now, we check:</u>

<u>at x = 4.5</u>: |2(4.5)-5| = |9-5| = |4| = 4 ..........> first solution verified

<u>at x = 0.5</u>: |2(0.5)-5| = |1-5| = |-4| = 4 .........> second solution verified

Hope this helps :)


6 0
3 years ago
Malco weighs 42 more pounds than Peter the sum of their Weights is 286 pounds how much does Peter way
Travka [436]
122
286-42=144
144\2=122
122(peter)+164(malco)=286(total weight)
7 0
2 years ago
Read 2 more answers
Worth 98 points hElp
BartSMP [9]

Answer:

10 and 1/5

Step-by-step explanation:

11-4/5=10 and 1/5. x must be 10 and 1/5

5 0
2 years ago
Read 2 more answers
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