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Korvikt [17]
3 years ago
8

A ceramics store manufactures and sells coffee mugs. The revenue r(x) from the sale of x coffee mugs is given by r(x)-6.5x. Supp

ose the function for the cost of manufacturing x coffee mugs is c(x)= 0.75x + 1850. A. Find the profit on 500,1000, and 5000 coffee mugs. B. Write the Profit Function
Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0

Answer:

Step-by-step explanation:

The revenue r(x) from the sale of x coffee mugs is given by

r(x) = 6.5x

the function for the cost of manufacturing x coffee mugs is c(x)= 0.75x + 1850.

Profit = Revenue - cost

P(x) = r(x) - c(x)

P(x) = 6.5x - (0.75x + 1850)

P(x) = 6.5x - 0.75x - 1850

P(x) = 5.75x - 1850

A) profit when x = 500 is

P = 5.75 × 500 - 1850

P = 2875 - 1850

P = 1025

profit when x = 1000 is

P = 5.75 × 1000 - 1850

P = 5750 - 1850

P = 3900

profit when x = 5000 is

P = 5.75 × 5000 - 1850

P = 28750 - 1850

P = 26900

B) The profit function would be

P(x) = r(x) - c(x)

P(x) = 5.75x - 1850

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Answer:

<em>{9,19,39,79}</em>

Step-by-step explanation:

<u>Recursive Sequences</u>

The recursive sequence can be identified because each term is given as a function of one or more of the previous terms. Being n an integer greater than 1, then:

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To find the first four terms of the sequence, we set n to the values {2,3,4,5}

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Since f(1)=4:

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f(2) = 9

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f(3) = 2*9+1

f(3) = 19

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4 0
3 years ago
Let w=width and 4 + w=
kozerog [31]

Answer:

Part 1 : w^2+4w-60=0

Part 2 :

w=6

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Step-by-step explanation:

Part 1:

Let the width of the rectangle = w

Length of the rectangle = w + 4

Area of the rectangle is given as

60 Sq Yrds

60=w(w+4)

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w^2+4w-60=0

Hence this expression represents the area of the rectangle. Solving which for w will give us the width of the rectangle.

Part 2:

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either (w+10) = 0

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or both are zero

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(w-6)=0  ⇒ w=6

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8 0
3 years ago
Help, please! If possible explain it like your talking to a little kid :) Thank you♡
monitta

Answer:

GCF: y³z³

Step-by-step explanation:

The greatest common factor is the a term that you can take out of all the terms given to you. This term, when multiplied to each of the individual numbers in the set, will return you to the original amount.

In this case, note that they all share the variables y and z, and that each of them have <em>at least</em> 3 y's and 3 z's. For you to factor, you will divide these from all the terms.

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Step-by-step explanation:

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