1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IRISSAK [1]
2 years ago
13

Lower-than-expected demand for LCD TVs has spurred manufacturers to cut prices in recent years. The average price P of a​ 32-in.

LCD TV t years after can be approximated by ​P(t)​(​)​, where t0 corresponds to .
Mathematics
1 answer:
Rina8888 [55]2 years ago
6 0

Complete question :

Lower-than-expected demand for LCD TVs has spurred manufacturers to cut prices in recent years. The average price P of a 32-in. LCD TV t years after 2005 can be approximated by P(t) 1052(0.793), where t0 corresponds to 2005 a) What was the average price of an LCD TV in 2005? in 2009? in 2011?

Answer:

1052 ; 416.01 ; 261.61

Step-by-step explanation:

Given the price function :

P(t) = t0(0.793)^t

P(t) = 1052(0.793)^t

Price in 2005 = 1052

The average price of LCD in 2005 is t0

t - t0 = 2005 - 2005 = 0

P(0) = 1052(0.793)^0 ;

P(0) = 1052 * 1 =

Price in 2005 = 1052

Price in 2009 :

t = 2009 - 2005 = 4

P(t) = t0(0.793)^t

P(4) = 1052(0.793)^4

P(4) = 1052 * 0.39534 = 416.0145

Price of LCD in 2009 = 416.01

Price in 2011

t = 2011 - 2005 = 6

P(t) = t0(0.793)^t

P(6) = 1052(0.793)^6

P(6) = 1052 * 0.248679 = 261.6103

Price of LCD in 2009 = 261.61

You might be interested in
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Consider the functions given below. SEE F
Wewaii [24]

Answer:

1. P(x) ÷ Q(x)---> \frac{-3x + 2}{3(3x - 1)}

2. P(x) + Q(x)---> \frac{2(6x - 1)}{(3x - 1)(-3x + 2)}

3.  P(x) - Q(x)---> \frac{-2(12x - 5)}{(3x - 1)(-3x + 2)}

4. P(x)*Q(x) --> \frac{12}{(3x - 1)(-3x + 2)}

Step-by-step explanation:

Given that:

1. P(x) = \frac{2}{3x - 1}

Q(x) = \frac{6}{-3x + 2}

Thus,

P(x) ÷ Q(x) = \frac{2}{3x - 1} ÷ \frac{6}{-3x + 2}

Flip the 2nd function, Q(x), upside down to change the process to multiplication.

\frac{2}{3x - 1}*\frac{-3x + 2}{6}

\frac{2(-3x + 2)}{6(3x - 1)}

= \frac{-3x + 2}{3(3x - 1)}

2. P(x) + Q(x) = \frac{2}{3x - 1} + \frac{6}{-3x + 2}

Make both expressions as a single fraction by finding, the common denominator, divide the common denominator by each denominator, and then multiply by the numerator. You'd have the following below:

\frac{2(-3x + 2) + 6(3x - 1)}{(3x - 1)(-3x + 2)}

\frac{-6x + 4 + 18x - 6}{(3x - 1)(-3x + 2)}

\frac{-6x + 18x + 4 - 6}{(3x - 1)(-3x + 2)}

\frac{12x - 2}{(3x - 1)(-3x + 2)}

= \frac{2(6x - 1}{(3x - 1)(-3x + 2)}

3. P(x) - Q(x) = \frac{2}{3x - 1} - \frac{6}{-3x + 2}

\frac{2(-3x + 2) - 6(3x - 1)}{(3x - 1)(-3x + 2)}

\frac{-6x + 4 - 18x + 6}{(3x - 1)(-3x + 2)}

\frac{-6x - 18x + 4 + 6}{(3x - 1)(-3x + 2)}

\frac{-24x + 10}{(3x - 1)(-3x + 2)}

= \frac{-2(12x - 5}{(3x - 1)(-3x + 2)}

4. P(x)*Q(x) = \frac{2}{3x - 1}* \frac{6}{-3x + 2}

P(x)*Q(x) = \frac{2*6}{(3x - 1)(-3x + 2)}

P(x)*Q(x) = \frac{12}{(3x - 1)(-3x + 2)}

4 0
3 years ago
Simplify.<br><br> (0.4n)(16n)
BigorU [14]
=(0.4n)(16n)
multiply 0.4 & 16 and n & n
=(0.4*16)(n * n)
=6.4n^2

Hope this helps! :)
4 0
3 years ago
31/40 in simplest form
I am Lyosha [343]

Answer:

31/40

Step-by-step explanation:

It cannot be reduced anymore. It is already in simplest form.

5 0
3 years ago
Choose the congruence theorem that you would use to prove the triangles congruent.
Elena L [17]

<u><em>Answer:</em></u>

SAS

<u><em>Explanation:</em></u>

<u>Before solving the problem, let's define each of the given theorems:</u>

<u>1- SSS (side-side-side):</u> This theorem is valid when the three sides of the first triangle are congruent to the corresponding three sides in the second triangle

<u>2- SAS (side-angle-side):</u> This theorem is valid when two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

<u>3- ASA (angle-side-angle):</u> This theorem is valid when two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle

<u>4- AAS (angle-angle-side):</u> This theorem is valid when two angles and a side that is not included between them in the first triangle are congruent to the corresponding two angles and a side that is not included between them in the second triangle

<u>Now, let's check the given triangles:</u>

We can note that the two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

This means that the two triangles are congruent by <u>SAS</u> theorem

Hope this helps :)

5 0
3 years ago
Read 2 more answers
A hexagonal pyramid is cut by a plane as shown in the diagram. What is the shape of the resulting cross section? see diagram
Alenkasestr [34]

From the diagram you can see that plane cuts each lateral face of hexagonal pyramid and do not cut the base. A hexagonal pyramid has six lateral faces. The intersection of each of these lateral faces with given cutting plane is segment. The figure which consists of these segments is hexagon. This hexagon is not the same as base and even is not similar to the base because the cutting plane is not parallel to the base.

Answer: resulting cross section is a hexagon, correct choice is option 4.

9 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for a. 4(a 3)=12 4a a. no solution b. all real numbers c. −3 d. −1
    11·2 answers
  • If and represent rational expressions and b0 and y0, what is true of their product? Select three options.
    8·2 answers
  • In ▵PQR, PR is extended through point R to point S, m
    9·1 answer
  • Jillian burns 187 calories when she runs 2 miles. How many miles will she
    14·2 answers
  • A piece of land is shaped like a right triangle. Two people start at the right angle at the same time, and walk at the same spee
    15·1 answer
  • The aggregate annual rainfall at a given location is modeled as a random variable, resulting in a sequence of random variables {
    14·1 answer
  • How do you do this question?
    13·2 answers
  • If f(x)= x3 - 2x, find f(-2)
    14·1 answer
  • Simplify: (x - 8) (x + 8) *
    12·1 answer
  • The vertex of the graph of f(x)=|X-3|+6 is located at
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!