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faltersainse [42]
3 years ago
7

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?
a)year 1
b)year 2
c)year 3
d)year 4
Mathematics
2 answers:
nikitadnepr [17]3 years ago
7 0
To "break even" means that the costs are equal to the money made, so profit would have to be 0. Therefore, we can rewrite the equation to be
0 = x3 -4x2 +5x -20

From here, all you have to do is factor to be able to solve for the values of x

First, since the first two numbers both have an x2, we can factor that out
x2(x-4) + 5x -20 = 0

The next two can factor out a 5
x2(x-4) + 5(x-4) =0

Since both of these terms share an (x-4), they can be factored to become:
(x-4) (x2 +5) = 0

So now we just solve for x, and get x = 4, and +- (sqrt) 5i

Since 4 is the only answer present in the options (and since 5i is a non-real number), the answer would be 4

ANS: D

Hope this helped ^-^
shtirl [24]3 years ago
5 0

The correct answer is

Year 4

:)


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Juanita is incorrect because she shouldn't be using 2 squared.

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Simplify the following expression.
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assume that when adults with smartphones are randomly selected 15 use them in meetings or classes if 15 adult smartphones are ra
Tanzania [10]

Answer:

The probability that at least 4 of them use their smartphones is 0.1773.

Step-by-step explanation:

We are given that when adults with smartphones are randomly selected 15% use them in meetings or classes.

Also, 15 adult smartphones are randomly selected.

Let X = <em>Number of adults who use their smartphones</em>

The above situation can be represented through the binomial distribution;

P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; n = 0,1,2,3,.......

where, n = number of trials (samples) taken = 15 adult smartphones

           r = number of success = at least 4

           p = probability of success which in our question is the % of adults

                 who use them in meetings or classes, i.e. 15%.

So, X ~ Binom(n = 15, p = 0.15)

Now, the probability that at least 4 of them use their smartphones is given by = P(X \geq 4)

P(X \geq 4) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3)

= 1- \binom{15}{0}\times 0.15^{0} \times (1-0.15)^{15-0}-\binom{15}{1}\times 0.15^{1} \times (1-0.15)^{15-1}-\binom{15}{2}\times 0.15^{2} \times (1-0.15)^{15-2}-\binom{15}{3}\times 0.15^{3} \times (1-0.15)^{15-3}

= 1- (1\times 1\times 0.85^{15})-(15\times 0.15^{1} \times 0.85^{14})-(105 \times 0.15^{2} \times 0.85^{13})-(455 \times 0.15^{3} \times 0.85^{12})

= <u>0.1773</u>

3 0
3 years ago
Find the value of the missing angles in the following figures
Veseljchak [2.6K]

Answer:

ans: ii) 87° and iii) 60°

Step-by-step explanation:

ii)

y° = 180° - ( 56° + 37°)

missing angle on triangle is alternate angle of y° so are equal and sum of angles of triangle is 180°

iii)

x° + 2x° = 180°

sum of co interior angles is 180°

7 0
3 years ago
Steven and his family ordered a meal the cost 136.50. Steven paid 14% sales tax and left a 20% tip on 136.50. What was the total
Ne4ueva [31]

Answer:

The total cost was $182.91.

Step-by-step explanation:

Tax formula:

tax=tax percentage×amount

Tip formula:

tip=tip percentage×amount

solve

First find the tax. Write 14% as the decimal 0.14 before using it in the equation.

tax

= tax percentage×amount

= 0.14×136.50

= 19.11

The tax was $19.11.

Now find the tip. Write 20% as the decimal 0.20 before using it in the equation.

tip

= tip percentage×amount

= 0.20×136.50

= 27.3

The tip was $27.30.

Finally, find the total cost.

total cost

= cost + tax+tip

= 136.50+19.11+27.30

= 182.91

7 0
3 years ago
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