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Afina-wow [57]
3 years ago
10

A businessman models the number of items (in thousands) that his company sold from 1998 through 2002 as N(x) = −0.2x3 + x2 − 2x

+ 9 and the average price per item (in dollars) as P(x) = 0.6x + 5, where x represents the number of years since 1998. Enter a polynomial R(x) that can be used to model the total revenue for this company.
Mathematics
1 answer:
Yuliya22 [10]3 years ago
8 0
Basically, you are asked to find the equation for total revenue. In economics, total revenue is equal to the the quantity multiplied with price.

Total Revenue = Price*Quantity
Thus,
R(x) = P(x) * N(x)
R(x) = (0.6x + 5)(<span>−0.2x</span>³<span> + x</span>²<span> − 2x + 9)
R(x) = -0.12x</span>⁴ + 0.6x³ - 0.12x² + 5.4x - x³ + 5x² - 10x + 45
<em>R(x) = -0.12x⁴ - 0.4x³ + 4.88x² - 4.6x + 45</em>
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irina [24]

Answer:

0.06

Step-by-step explanation:

probability of multiple of 6= 0.2

probability of multiple of 4= 0.3

0.2 * 0.3 = 0.06

7 0
2 years ago
In Exercise sketch the graph of the function.<br> f(x) = ex + 2
earnstyle [38]

Answer:

slop of e

y - intercept 2

x- intercept -0.735

Step-by-step explanation:

The value of e is 2.72 and this is the slope of the graph with a y intercept of:

y=0+2

y=2

and an x intercept of:

0=ex+2

x=-2/e=-0.735

The graph is attached with the x and y intercepts

6 0
3 years ago
A + c = 405 <br> 12a + 5c = $3,590
SOVA2 [1]

Answer:

a=223.57

c=181.43

Step-by-step explanation:

a=405-c

substitute for a in the equation :

12a+5c=3590

12(405-c)+5c=3590

4860-12c+5c=3590

-7c=3590-4860

-7c=-1270

c=1270/7=181.43

a=405-1270/7

a=1565/7=223.57

3 0
2 years ago
A collection of nickels and quarters are worth $2.85. There are 3 more nickels than quarters. How many nickels and quarters are
Alex777 [14]

Answer:

nickels = 12

quarters = 9

Step-by-step explanation:

Let number of quarters be "q", and

number of nickels be "n"

Nickels are worth $0.05 and Quarters are worth $0.25

Since all of them are worth 2.85, we can write:

0.25q + 0.05n = 2.85

Also, we know, there are 3 more nickels than quarters, so we can write:

n = 3 + q

Now, we can substitute equation 2 into equation 1 to get:

0.25q + 0.05n = 2.85\\0.25q + 0.05(3+q) = 2.85\\0.25q+0.15+0.05q=2.85

Now, we solve for q:

0.25q+0.15+0.05q=2.85\\0.3q=2.70\\q=9

There are 9 quarters.

We know n = 3 + q

So,

n = 3 + 9

n = 12

There are 12 nickels

7 0
3 years ago
Help please ! 11x+4&lt;15 or 12x+7&gt;-25
barxatty [35]

Answer:

A

Step-by-step explanation:

From the first inequality,we got:

11x+4<15

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x<1

From the second inequality,we got:

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Combine it together we got

-3/2<x<1

5 0
3 years ago
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