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almond37 [142]
3 years ago
11

The RideEm Bicycles factory can produce 110 bicycles in a day at a total cost of $10,900 and it can produce 130 bicycles in a da

y at a total cost of $11,600. What are the company's daily fixed costs?
What is the marginal cost per bicycle?
Mathematics
1 answer:
kolbaska11 [484]3 years ago
8 0
C - fixed costs; b - costs per bicycle;
c + 110 b = 10,900 
c + 130 b = 11,600
c = 10,900 - 110 b
10,900 - 110 b + 130 b = 11,600
20 b = 700
b = 700 : 20 = $35
c + 110 * 35 = 10,900
c + 3,850 = 10,900
c = 10,900 - 3,850
c = $7,050 ( daily fixed costs )
Marginal cost is the cost of producing one more unit of goods ( one more bicycle ).
Answer:
The company`s daily fixed cost is $7,050.
The marginal cost per bicycle is $35. 
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Two skateboarders, Ron and Bob, are traveling in opposite directions.Ton travels at 8 feet per second and bob travels at 10 feet
omeli [17]

Time taken before they are 2640 feet is 146.67 seconds

<em><u>Solution:</u></em>

The distance is given by formula:

distance = speed \times time

<em><u>Ton travels at 8 feet per second</u></em>

Let us assume, time taken = t

speed = 8 feet per second

Then, distance is given as:

Distance covered by Ton = 8t

<em><u>Bob travels at 10 feet per second</u></em>

Then, distance is given as:

Distance covered by Bob = 10t

How long will it take before they are 2640 feet

Which means,

Distance covered by Ton + Distance covered by Bob = 2640

8t + 10t = 2640\\\\18t = 2640\\\\Divide\ both\ sides\ of\ equation\ by\ 18\\\\t = 146.67

Thus time taken before they are 2640 feet is 146.67 seconds

<h3><u>Method 2:</u></h3>

Since trains are moving in opposite directions, their speeds must be added

speed = 8 + 10 = 18 feet per second

Given distance = 2640 feet

Therefore, time taken is:

time = \frac{distance}{speed}\\\\time = \frac{2640}{18} = 146.67 \text{ second }

Thus time taken before they are 2640 feet is 146.67 seconds

4 0
3 years ago
At a point on the ground 20 feet from a building, a surveyor observes the angle of inclination to the top of the building to be
Bess [88]

Answer:

34.64 ft

Step-by-step explanation:

Distance from the building = 20 ft

Angle of inclination = π/3 radians

The tangent of the angle of inclination must equal the height of the building divided by the distance of the observer from the building:

tan( \pi/3) = \frac{h}{20} \\h = 20*1.73205\\h=34.64\ ft

The building is 34.64 ft tall

8 0
3 years ago
-3(x + 1) + 7x + 8 = 5x - x + 6 - 2
Karo-lina-s [1.5K]

Answer: 5=4 (empty set)

Step-by-step explanation:

(-3x + 7x) + (-3+ 8) = (5x + -x) + (6+-2)

4x + 5 = 4x + 4

Each 4x cancel each other out

5=4

7 0
3 years ago
0+50x1-60-60x0+10<br> What's the answer
NISA [10]
Following PEDMAS it'd be
=0
0+(50x1)-60-(60x0)+10
0+50-60-0+10
50-60+10
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Hope this helps. :)

4 0
3 years ago
Read 2 more answers
Read the ques
Dafna11 [192]

Answer:

0.25feet

Step-by-step explanation:

The equation is not well written. Let the equation of the height be modelled as;

h = -16d²+8d+4

The velocity of the ball is zero at its maximum height.

Velocity = change in displacement/time

v = dh/dd

Differentiate

v = -32d+8

Since dh/dd = v = 0

0 = -32d+8

Add 32d to both sides

0+32d = 8

32d = 8

Divide both sides by 32

32d/32 = 8/32

d = 1/4

d = 0.25feet

Hence the maximum height of the tennis ball is 0.25feet

Note that the modeled equation was assumed. You can apply the same calculation to any equation given

3 0
3 years ago
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