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nekit [7.7K]
3 years ago
15

Suppose that the dollar cost of producing x appliances is c(x)=1000+ 90x- 0.2x 2

Mathematics
1 answer:
Aleksandr [31]3 years ago
6 0

Answer:

Step-by-step explanation:

Given that the dollar cost of producing x appliances is

c(x)=1000+ 90x- 0.2x^2

A) Average cost can be obtained by dividing c(x) by units = x

i.e. average cost = \frac{1000}{x} +90-0.2x

B) Marginal cost = dC/dx = 90-0.4x

When x=140 marginal cost = 90-0.4(140)\\=34

C) We calculate

c(140) = =1000+90(140)-0.2(140^2)\\\\=9680

c(141) = =1000+90(141)-0.2(141^2)\\\\\\=9713.80

Marginal cost = difference = 33.80

Same as 34 shown in marginal cost.

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A 16" × 16" square tray can hold at most 9 bagels placed side by side, as shown below. At most how many bagels can a 32" × 32" s
vodka [1.7K]

Answer:

At most it can hold 18 bagels

Step-by-step explanation:

So we can make this an equation

16 · 16 square tray = 9 bagels on top of it

We just doubled both sides of it

giving us 32 · 32 square tray = 18 bagels can be held.

3 0
2 years ago
HELPPPP<br> What is MB<br><br><br> 48<br> 96<br> 110<br> 55
Lady_Fox [76]
Minor Arc AC =  110 degrees  (given)
As indicated in the hints,
OA=OC  => OAC=OCA=(180-110)/2 = 35
Similarly,
OAB=OBA=(48-35)=13
=>
OBC=OCB=(180-35-35-13-13)/2=(180-96)/2=84/2=42
=>
Angle B = 13+42 = 55 degrees

Check:
55+55+35+35+13+13 = 180 degrees (angles of a triangle)  ok.

3 0
3 years ago
(a) Write a system of linear equations that would represent the amount of money (y) spent or made from producing and selling x n
zubka84 [21]

Answer:

nnnoooo

Step-by-step explanation:

7 0
2 years ago
Someone please help me with all !
goldenfox [79]

You can observe that every next term is computed by adding 4 to the previous one.

This implies that the difference between consecutive terms is always 4, and this is an arithmetic sequence.

In order to find the explicit equation, we can explore the pattern:

a_1 = -1 = -1+4\cdot 0

a_2 = 3 = -1+4\cdot 1

a_3 = 7 = -1+4\cdot 2

a_4 = 11 = -1+4\cdot 3

So, as you can see, we have

a_n = -1+4(n-1) = 4n-5

If 109 is a term of the sequence, there must exist a natural number n such that

109 = 4n-5 \iff 4n = 114 \iff n = \dfrac{114}{4} = 28.5

So, 109 is not a term of the sequence.

4 0
3 years ago
Read 2 more answers
Solve the system by graphing.<br> What is the solution of y=-x+4 and y=3/5x+4
dlinn [17]

Answer:

x=0 and y=4 thats where the points meet

Step-by-step explanation:

solution of x and y:

both equations equal to y so you can put them together

3/5x+4=-x+4

separate the variables and numbers...

1.6x=0

x=0

y=4

if ur using a graph, use the y intercept (0,4) for your first point

then, using y=-x+4, make -x a fraction -1/1

by using rise/run go down one unit from (0,4) since its negative 1

then one unit to the right from where you are

you should be able to connect the points for the first equation

find the second equation on your own now:)

3 0
2 years ago
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