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lidiya [134]
1 year ago
15

An entrepreneur estimates his total profit (total revenue minus total cost) for his proposed company as p(x) = x3 − 4x2 + 5x − 2

0, where p is in hundreds of dollars and x is number of years the company has been in business. In which year (x) will the entrepreneur break even?
Mathematics
1 answer:
RideAnS [48]1 year ago
4 0

Answer:

Year in which the entrepreneur break even is 4

Step-by-step explanation:

We are given:

p(x) = x^3-4x^2+5x-20

We would find the value of x

Solving:

x^3-4x^2+5x-20 = 0

(x^3-4x^2)+(5x-20) = 0

x^2(x-4)+5(x-4) = 0

(x-4)(x^2+5)=0

=> x-4 = 0 and x^2+5 =0

x = 4 and x^2 = -5

x = 4 and x = ±√-5 or ±√5 i (not real solutions)

So, x = 4

So, year in which the entrepreneur break even is 4

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Patterns can be used to determine products of a number of a power of 10 by following it to obtain easily the answer. When you multiply a number by the power of 10 you just have to write the number then add the number of corresponding number of 0s to the end which will be the same number as the power used. 

Hope this helped : )
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2 years ago
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The tread life of tires mounted on light-duty trucks follows the normal probability distribution with a population mean of 60,00
valentinak56 [21]

Answer:

0.0013

Step-by-step explanation:

To do this, we need to use a normal distribution table with Z score values, like the one I'm attaching here.

Now, the expression to calculate the Z value is the following:

Z = x - μ / (σ/√n)

Where:

μ: mean

σ: standard deviation

x: value required

n: sample population

Now that we have the data, let's calculate the Z value:

Z = 66,000 - 60,000 / (4000/√4)

Z = 3

Now, let's look at the table to get the value that belongs to this Z score. According to the table, it's 0.0013

Therefore, the likelihood would be 0.0013

3 0
2 years ago
What's the angle of x?
vichka [17]

Answer:

60 as corresponding and alternate angles r equal

Step-by-step explanation:

3 0
1 year ago
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Answer:

Step-by-step explanation:

6 0
1 year ago
The heights of 82 roller coasters have a mean of 285.2 feet and a population standard deviation of 59.3 feet. Find the standardi
taurus [48]

Answer:

0.7673

Step-by-step explanation:

We have the following:

The null and alternative hypothesis is,

H0: m = 290

Ha: m> 290

x = 285.2

m = 290

sd = 59.3

n = 82

is m the mean, sd the standard deviation and n the population size

Now we calculate the value of z like this:

z = (x - m) / sd / (n ^ (1/2))

z = (285.2 - 290) / 59.3 / (82 ^ (1/2))

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now

P (z> -0.73) = 1 - P (z <-0.73)

we look at the normal distribution table

P = 1 - 0.2327 = 0.7673

Therefore the value of p is equal to 0.7673

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1 year ago
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