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2 years ago

Ms. Garcia watched 6 commercials

Mathematics

1 answer:

Aleonysh [2.5K]2 years ago

6 0

Answer:

15 commercials

Step-by-step explanation:

6 commercials --> 24 minute

x commercials --> 60 minute(1 hour)

x*24 = 6*60

clear x

x = (6*60)/24

x= 15

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The sum of three consecutive integers is -30. find the integers.

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Consecutive integers are one apart from each tother
they are
x,x+1,x+2

sum is -30
x+x+1+x+2=-30
3x+3=-30
minus 3 both sides
3x=-33
divide 3
x=-11

find rest
x+1=-11+1=-10
x+2=-11+2=-9

they are
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2 years ago

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2 years ago

The management of Acrosonic plans to market the ElectroStat, an electrostatic speaker system. The marketing department has deter

crimeas [40]

Answer:

(a) $R(x)=-0.02x^2+610x$

(b) $R'(x)=-0.04x+610$

(c)R'(5400)=$394

Step-by-step explanation:

Given that x is the quantity demanded and the speaker's unit price (in dollars) is p where:

p = −0.02x + 610 (0 ≤ x ≤ 20,000)

(a)Revenue function R.

Revenue = Price X Quantity Demanded

Therefore:

R(x)=xp

$=x(-0.02x + 610)\\R(x)=-0.02x^2+610x$

(b)Marginal revenue function R'(x)

If $R(x)=-0.02x^2+610x$

Then, the marginal revenue function

$R'(x)=-0.04x+610$

(c)We want to compute R'(5,400)

$R'(5400)=-0.04(5400)+610\\R'(5400)=394$

From the above, we can infer that the revenue that will be generated on the sales of the 5401st item is $394.

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2 years ago