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MakcuM [25]
3 years ago
6

The moon is about 382,500km away from Earth. This distance actually varies by about 22,500km. What are the maximum and minimum d

istances to the moon?
Mathematics
1 answer:
KiRa [710]3 years ago
6 0

Answer:

The minimum distance to the moon is of 360,000 km and the maximum distance is of 405,000 km

Step-by-step explanation:

The maximum distance is found adding the variation.

The minimum distance is found subtracting the variation.

We have that:

Distance: 382,500 km

Variation: 22,500 km

So

Maximum distance: 382500 + 22500 = 405,000 km

Minimum distance: 382500 - 22500 = 360,000 km

The minimum distance to the moon is of 360,000 km and the maximum distance is of 405,000 km

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A rose garden can be planted for $4000. The marginal cost of growing a rose is estimated to $0.30,
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Answer:

C(x)=4000+0.3x

R(x)=1.75x

Profit= 1.45x-4000

Step-by-step explanation:

We are given that A rose garden can be planted for $4000.

The marginal cost of growing a rose is estimated to $0.30,

Let x be the number of roses

So, Marginal cost of growing x roses = 0.3x

Total cost = 4000+0.3x

So, Cost function : C(x)=4000+0.3x ---A

Now we are given that the total revenue from selling 500 roses is estimated to $875

So, Marginal revenue = \frac{\text{Total revenue}}{\text{No. of roses}}

Marginal revenue = \frac{875}{500}

Marginal revenue = 1.75

Marginal revenue for x roses  = 1.75x

So, Revenue function =  R(x)=1.75x ----B

Profit = Revenue - Cost

Profit= 1.75x-4000-0.3x

Profit= 1.45x-4000  ---C

Now Plot A , B and C on Graph

C(x)=4000+0.3x  -- Green

R(x)=1.75x  -- Purple

Profit= 1.45x-4000  --- Black

Refer the attached graph

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