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Hoochie [10]
3 years ago
5

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures televisions can be mo

deled by the polynomial 3x2 + 180x. The cost, in dollars, of producing the televisions can be modeled by 3x2 – 160x + 300. The variable x is the number of televisions sold.
If 150 televisions are sold, what is the profit?
Mathematics
2 answers:
-Dominant- [34]3 years ago
7 0

Answer:

The answer is C. - $50,700

Step-by-step explanation:

Doss [256]3 years ago
3 0

\bf \stackrel{\mathbb{P~R~O~F~I~T}}{\stackrel{Revenue}{(3x^2+180x)}~~~~-~~~~\stackrel{Costs}{(3x^2-160x+300)}}\implies 20x+300 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{profit equation}}{P(x)=20x+300}\implies \stackrel{\textit{150 televisions sold, x = 150}}{P(150)=20(150)+300}\implies P(150)=3300

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Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.
Aliun [14]

Answer:

Part 1) c=21.9\ units

Part 2) B=61.1\°

Part 3) A=28.9\°

Part 4) C=90\°

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

c^{2}=a^{2}+b^{2}

substitute the given values

c^{2}=10.6^{2}+19.2^{2}

c^{2}=481

c=21.9\ units

step 2

Fin the measure of angle B

we know that

In the right triangle

tan(B)=b/a

substitute the given values

tan(B)=19.2/10.6

B=arctan(19.2/10.6)=61.1\°

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

so

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

B=61.1\°

C=90\°

substitute

A+61.1\°+90\°=180\°

A=28.9\°

4 0
3 years ago
38% of 1200 Otto middle school students are 6th how many auto students are sixth graders
kramer

Answer:

456 students

Step-by-step explanation:

38% = 0.38

1200 x 0.38 = 456

6 0
2 years ago
The arch of a bridge forms the upper half of an ellipse. The arch is 6 meters above the 20-meter-wide river. Write an equation f
aksik [14]

Answer:

\frac{x^2}{36} + \frac{y^2}{100} = 1

Step-by-step explanation:

Required

The equation of the ellipse

This is calculated as:

\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

Where:

b =6 ---- height

a = 0.5 * 20 =10 --- width

So:

\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

\frac{x^2}{6^2} + \frac{y^2}{10^2} = 1

\frac{x^2}{36} + \frac{y^2}{100} = 1

3 0
2 years ago
If p is a positive integer,then p(p+1)(p-1) is always divisible by?
ElenaW [278]

I am not quite sure what the choices are, but the answer to that problem is:

If p is a positive integer, then p(p+1)(p-1) is always divisible by “an even number”.

The explanation to this is that whatever number you input to that equation, the answer will always be an even number. This is due to the expression p(p+1)(p-1) which always result in a even product.

For example if p=3, then (p+1)(p-1) becomes (4)(2) giving you a even number.

And if for example if p=2, then (p+1)(p-1) becomes (3)(1) which gives an odd product, but we still have to multiply this with p therefore 2*3 = 6 which is even product. The outcome is always even number.

<span>Answer: From the choices, select the even number</span>

4 0
3 years ago
△PQR has two known interior angles of 34°, and 80°. △RST has two known interior angles of 24°, and 90°. What can be determined a
Sergeeva-Olga [200]
In order for two triangles to be similar, there must be 2 pairs of congruent angles. Since two angles of triangle PQR have different measures from two angles of triangle RST, it is impossible to have two pairs of congruent angles, so the triangles cannot be similar.

The answer is in bold type below.

<span>All interior angles must be given to determine similarity.
The triangles are not similar.
Similarity cannot be determined from the given information.
The triangles are similar. </span>
3 0
3 years ago
Read 2 more answers
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