From 1997 - 2001 the number n (in millions) of black-and-white TV S sold in the U.S. Can be modeled by n = 26.8 * (0.85) ^ t where t is the number of years since 1997.

Answers

Answer 1

Question

a) What is the decay factor?

b) What is the percent decrease?

c) Estimate the number of black and white TV's  sold in 1999.

Answer:

a. Decay factor = 0.85

b. Percent decrease = 15%

c. 19.363  million TVs were sold

Step-by-step explanation:

Given

[tex]n = 26.8(0.85)^t[/tex]

Solving (a): The decay factor

An exponential function has the form

[tex]y = ab^x[/tex]

Where b is:

[tex]b = decay\ factor\ or\ growth\ factor[/tex]

By comparison:

[tex]b = 0.85[/tex]

Solving (b): Percentage decrease:

Percentage decrease P is calculated as follows:

[tex]P = 1 - b[/tex]

Substitute 0.85 for b

[tex]P = 1 - 0.85[/tex]

[tex]P = 0.15[/tex]

Convert to percentage

[tex]P = 0.15*100\%[/tex]

[tex]P = 15\%[/tex]

Solving (c): TVs sold in 1999

First, we need to determine the value of t for 1999

In 1997, t= 0

In 1998, t= 1

In 1999, t= 2

So, we substitute 2 for t in: [tex]n = 26.8(0.85)^t[/tex]

[tex]n = 26.8(0.85)^2[/tex]

[tex]n = 26.8*0.7225[/tex]

[tex]n = 19.363[/tex]


Related Questions

May you please help me with this question!

Answers

Answer:

9/4x to the power of one plus 12y to the power of one

Step-by-step explanation:

You can add the top numbers for 9, but cant add the bottoms since they are different variables.

Answer:

[tex]\frac{6y+7x}{12xy}[/tex]

Step-by-step explanation:

i hope this helps :)

Simplify the expression given below.

X+2/x^3+2x^2-9x-18 divided by 3x+1 / x^2-9

A. 1 / (x+3)(x-3)
B. 3x +1
C. 1 / 3x+1
D. 3x + 1 / (x+3) (x-3)

Answers

Answer:

D

Step-by-step explanation: your welcome have a good day

Answer:

C.  [tex] \dfrac{1}{3x + 1} [/tex]

Step-by-step explanation:

[tex] \dfrac{x + 2}{x^3 + 2x^2 - 9x - 18} \div \dfrac{3x + 1}{x^2 - 9} = [/tex]

Factor all polynomials.

[tex] = \dfrac{x + 2}{x^2(x + 2) -9(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} [/tex]

[tex] = \dfrac{x + 2}{(x^2 - 9)(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} [/tex]

[tex] = \dfrac{x + 2}{(x + 3)(x - 3)(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} [/tex]

To divide by a fraction, multiply by its reciprocal.

[tex] = \dfrac{x + 2}{(x + 3)(x - 3)(x + 2)} \times \dfrac{(x + 3)(x - 3)}{3x + 1} [/tex]

Cancel out common factors in the numerator and denominator.

[tex] = \dfrac{1}{3x + 1} [/tex]

Find the exact length of the third side.
35
28

Answers

Answer:

44.821869662

Step-by-step explanation:

BRAINLYEST

Answers

I can’t rly see the question please make it bigger

Answer:

:)

Step-by-step explanation:

i think it's MODE 21........

Find all possible solutions for x and y such that △ABC is congruent to △DEF.

△ABC: sides of length 19, 25, and 3x − 3.
△DEF: sides of length 25, 15, and 5 − y.

△ABC ≅ △DEF when x is ___ and y is ___.

Answers

Answer:

Step-by-step explanation:

it means the ABC And DEF have side lengths of 15,19, 25

so 3x-3 = 15

x = 6

5-y = 19

so y = -14

1. Ryan and Rachel attended the weekend games at the neighborhood stadium and bought some food at the stands Ryan paid $7.10 for 3 corndogs and 1 coke Rachel paid $7.20 for 2 corndogs and 2 cokes. How much is each corndog?

Please help :( I’ll give you brainiest ♡

Answers

Answer:

$1.75

Step-by-step explanation:

Set up a system of equations where x is the cost of a corndog and y is the cost of a coke:

3x + y = 7.1

2x + 2y = 7.2

Solve by elimination by multiplying the top equation by -2

-6x - 2y = -14.2

2x + 2y = 7.2

Add them together:

-4x = -7

x = 1.75

So, the cost of one corndog is $1.75

Sorry I tried doe

(The answer I got would be in the negatives, I don't think that would be correct)

answer for brainliest

Answers

the answer should be D, hope this helped :))

Answer:

the last option is the right answer

Step-by-step explanation:

last week:

d = 18

d = 18h = 6

this week:

d = 2.5h

i. if she walked for 6 hours this week, h = 6

d = 2.5h

d = 2.5 × 6

d = 15

* this means she walked at slower pace this week as she can only cover 15 miles in 6 hours whereas she can cover 18 miles in 6 hours last week

ii. if she walked for 18 miles this week, d = 18

d = 2.5h

18 = 2.5h

h = 18/ 2.5

h = 7.2

* this means she walked at a slower pace this week as she needs 7.2 hours to cover 18 miles whereas she only need 6 hours last week

PLS PLS PLS PLS HELP ASAP!! WILL MARK BRAINLIEST!
1. The list of ordered pairs represents a function: (12,6) (3,1) (2,-2) (5,10) (-8,-4) ( _, _)
Which of the following could be the missing ordered pair?
A. (2,1)
B. (12,7)
C. (-8,8)
D. (-3,-4)

2. Rita works at a gym where she gets paid $450 each week plus $15.50 for any new gym membership she sells. If y represents the total pay per week and x represents the number of new memberships sold, which of the following equations represents a higher rate per membership sold.
A. y =31/3x + 500
B. y =15x + 425
C. y =33/2x + 425
D. y =15.05x +475

Answers

Answer:

1. D

2. y = 15.50x + 450

Step-by-step explanation:

1. Since it is a function, the missing pair can't repeat input values with different output, therefore only option D is unique so is the correct choice.

2. x  > (y - 450)/ 15.50

i) Rita gets paid $450 per week.

ii) She gets $15.50 for every new membership she sells.

iii) let y represent the total pay per week.

iv) let x represent the number of new memberships sold.

v) the equation representing total pay is y = 15.50x + 450.

vii) therefore the equation that represents a higher rate of membership sold is given by  x  > (y - 450)/ 15.50

The volume of the world's oceans is nearly 1.5⋅10^9 cubic kilometers. Write this number in scientific notation.

Answers

Answer:

"The World Ocean." The Columbia Encyclopedia. CD-ROM. 2007, 6th Ed. New York: Columbia University Press. "The World ocean has an area of about 361 million sq km (139,400,000 sq mi), an average depth of about 3,730 m (12,230)

Viau, Elizabeth Anne. World Builders: Water on Earth. California State University Los Angeles. 2003.

There are two origins of water: comets (extraterrestrial bombardment) and out gassing (condensation of steam from early volcanism). These processes are continuing today.

Step-by-step explanation:

100 POINTS AND BRAINLIEST
two paintings were sold were for $50 and $350. find the mean and the median
Mean :
Median:
At a gallery show, three paintings were sold for $250, $400, and $1,200.
Mean :
Median:
oil paintings have been sold for $410, $400, and $375.
Mean :
Median:
YOUR ANSWER WILL BE REPORTED IF YOU PUT NONSENSE

Answers

Answer:

Here, for example, is square inch pricing, using a multiplier of 2.5 (ie, $2.50 per square inch):

4×4 inches = 16 square inches x 2.5 = $40

8×8 inches = 64 square inches x 2.5 = $160

16×16 inches = 256 square inches x 2.5 = $640

24×24 inches = 576 square inches x 2.5 = $1,440

32×32 inches = 1,024 square inches x 2.5 = $2,560

I don’t know about you, but $40 seems awfully small price for a painting by someone who commands $2,560 for a 32×32 canvas.

Here are the same canvas sizes using linear inch pricing, using a multiplier of 20 (ie, $20.00 per linear inch) — as you can see, the difference in price feels a lot less out-of whack:

4+4 inches = 8 linear inches x 20 = $160

8+8 inches = 16 linear inches x 20 = $320

16+16 inches = 32 linear inches x 20 = $640

24+24 inches = 48 linear inches x 20 = $960

32+32 inches = 64 linear inches x 20 = $1,280

Neither of these pricing methods is “right” or “wrong,” but once you determine your method and your multiplier, charging by size can be a very helpful way to eliminate the guesswork, and feel confident about your pricing.

Different Pricing for Different Media?

One possible modifier to your size-based pricing structure is the media you paint with. If you only paint watercolors, or only paint oils, there’s no problem, but if you paint both on canvas and on paper, as I do, it gets a little tricky.

For whatever reason, paintings on paper tend to sell for less than paintings on canvas — even though they require framing, which is an added expense. In my case, if I were to pay to have a piece framed, my costs become much higher for a work on paper than for a canvas painting! What’s an artist to do?

(And remember that pricing your prints is an entirely different topic.)

I don’t have a final answer to this question, except to refer you to the item below…

Step-by-step explanation:

Answer:

Here, for example, is square inch pricing, using a multiplier of 2.5 (ie, $2.50 per square inch):

4×4 inches = 16 square inches x 2.5 = $40

8×8 inches = 64 square inches x 2.5 = $160

16×16 inches = 256 square inches x 2.5 = $640

24×24 inches = 576 square inches x 2.5 = $1,440

32×32 inches = 1,024 square inches x 2.5 = $2,560

I don’t know about you, but $40 seems awfully small price for a painting by someone who commands $2,560 for a 32×32 canvas.

Here are the same canvas sizes using linear inch pricing, using a multiplier of 20 (ie, $20.00 per linear inch) — as you can see, the difference in price feels a lot less out-of whack:

4+4 inches = 8 linear inches x 20 = $160

8+8 inches = 16 linear inches x 20 = $320

16+16 inches = 32 linear inches x 20 = $640

24+24 inches = 48 linear inches x 20 = $960

32+32 inches = 64 linear inches x 20 = $1,280

Neither of these pricing methods is “right” or “wrong,” but once you determine your method and your multiplier, charging by size can be a very helpful way to eliminate the guesswork, and feel confident about your pricing.

Different Pricing for Different Media?

One possible modifier to your size-based pricing structure is the media you paint with. If you only paint watercolors, or only paint oils, there’s no problem, but if you paint both on canvas and on paper, as I do, it gets a little tricky.

For whatever reason, paintings on paper tend to sell for less than paintings on canvas — even though they require framing, which is an added expense. In my case, if I were to pay to have a piece framed, my costs become much higher for a work on paper than for a canvas painting! What’s an artist to do?

(And remember that pricing your prints is an entirely different topic.)

I don’t have a final answer to this question, except to refer you to the item below…

Step-by-step explanation:

What is one of the greatest problems in Brazil?
O education
O language
O transportation

Answers

ITS EITHER A OR C because its common sense

Answer:

c transportation

Step-by-step explanation:

What is the slope of the line that passes through the points (4,5) and (12,7)?

Answers

Answer:

(2,8)

Step-by-step explanation:

If we plot both points on the graph and start at (4,5) we count up (rise) 2 and to the right (run) 8. This means they are both positive numbers as it goes up and to the right.

*Down or to the left would be negative.

3. Spiral Review: Solve the equation algebraically. Show all work. Circle your final solution.
4z +5= - 3z-8

Answers

Answer:

z=-13/7

Step-by-step explanation:

1. Add 3z(7z+5=-8)

2. Subtract 5(7z=-13)

3. Divide 7(z=-13/7)

Half the area of the rectangle shown is 24 inches. Write and solve an equation to find the value of 'x'

Answers

Answer:

The answer will b 4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The scale factor from the large triangle to the small triangle is 3:1 What is the length of side x of the smaller triangle?​

Answers

Answer:

10 i guess

cause

8*3=24

3*10=30

Step-by-step explanation:

Since the scale factor of the large to small triangle is 3 : 1, the side lengths of the small triangle are 1/3 of the big triangle side lengths. (such as 8 compared to 24)

Therefore 3x = 30 and x = 10.

-7(8) =


























Spam:$:$:$:!:!;!;!,!,!,,!!,,!,!,!,!,!,!

Answers

Answer:

-56

Step-by-step explanation:

-7 x 8= -56

ANSWER NOW AND YOU GET 20 and ill answer one of ur questions

Answers

Answer:

300 gallons per hour.

Step-by-step explanation:

It takes 4 of 1/4 hours to make 1 hour. Now multiply gallons per quarter hour by four.

75 x 4 = 300

Which of the following would be a possible solution to the system of inequalities given below?

(3,-3)
(1,-7)
(6,4)
(-5,0)

Answers

Answer:

(3, -3)

Step-by-step explanation:

A point qualifies as a solution to a system of inequalities if it is true when both of its x and y values are substituted into the both inequalities. Knowing this, let's plug in the first option, (3, -3), into both inequalities.

Let's try 6x + 3y > 3 first. Substitute 3 for x and -3 for y:

[tex]6 (3) + 3 (-3) > 3\\18 - 9 > 3\\9 > 3[/tex]

9 is bigger than 3, so (3, -3) is a solution to that inequality.

Let's try [tex]x -y \geq 4[/tex]. Do the same, substituting the same values:

[tex]3 - (-3) \geq 4\\3 + 3 \geq 4\\6\geq 4[/tex]

6 is bigger than 4, so (3, -3) is a solution to that inequality too.

Since (3, -3) is a solution to both inequalities, it must be the answer.

There were 20 questions on an exam. You answered 40% of them incorrectly. How many did you answer incorrectly?

Answers

40% = 0.40
20 * 0.40 = 8
Solution: you answered 8 incorrectly

Answer: 4

Step-by-step explanation: 20-10=10 which is %50. 20-16=4

100 points pic attached will mark brainliest random answers will be reported

Answers

Answer:

NO. BECAUSE U NEED 4 POINTS TO FIND THE VALUE THERES ONLY THREE!!!

Step-by-step explanation:

SEE the IMAGE for Solution

HOPE it HELPS

Have a GREAT DAY

Yes its sufficient .

How?Steps?

First rewrite three co-ordinates.Find area of triangle through these points.Take Area=0 as Colinear points can't be vertices of the triangle .Then solve the equation algebraiccally and get x,y

Formula:-

[tex]\boxed{\sf Area\:of\:triangle=\dfrac{1}{2}\mid x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)\mid}[/tex]

the sum of three numbers is 133. the third number is 4 times the second. the second number is 5 more than the first. 25 points+ brainliest

Answers

Answer:

I believe the answer is 6 times more.

Step-by-step explanation:

And I know ur gonna scam I'm just willing to help

What does x=? I'm really not sure about this.

Answers

Answer:

9

Step-by-step explanation:

For this, we need to know the scale factor first. We can do that by looking at a same side of the two shapes.

CD = 2 and ML = 3.6

3.6 / 2 = 1.8

just to confirm, let's take MN = 7.2 and DE = 4

7.2 / 4 = 1.8

So now we know the scale factor is 1.8

Now to figure out x, we just need to use BA = 5

and because the scale factor is 1.8

so we just need to do: 5 * 1.8 = 9

X= 9
Because all you have to do is divide one of the bigger sides by one of the smaller sides on the other shape and you will get the scale factor of 1.8 and when you take 1.8 and divide it by 5 you would get 9

Need answer simplify -2/5+4/3=

Answers

Answer:

The answer should be 14/15.

Step-by-step explanation:

The answer is 14/15 because -2/5 and 4/3 with a common denominator turns into -6/15 and 20/15.

Then you add both of them together.

-6/15 + 20/15 = 14/15

Write an inequality that is represented by the graph.

Answers

Answer:

ff

Step-by-step explanation:

Find the value of k,if 3x+ky-1=0,7x-3y+3=0 are perpendicular.

Answers

728282636381919191828273737363839038373637373

What is the value of x? B 75° Enter your answer in the box. X=​

Answers

Answer:

55

Step-by-step explanation:

75+50=125

180-125=55

Help In math pls this a slope problem

Answers

Answer:

D

Step-by-step explanation:

Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses whenever possible.

d. The opposite of - 10t and t - 10t

Answers

Answer:

The answer is t.

Step-by-step explanation:

We need to find the sum of opposite of - 10t and t - 10t.

Opposite of -10t = 10 t

So,

10t + (t-10t)

Grouping the numbers,

(10t+(-10t)) + t

= 0 + t

= t

Hence, the answer is t.

Which expression is equivalent to the following

Answers

Answer:

[tex] 10 \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \sqrt{200} = \sqrt{100 \times 2} \\ \\ = \sqrt{ {10}^{2} \times 2} = 10 \sqrt{2} \\ [/tex]

The surface area "S" of a sphere of radius ris given by the forma
S=4pir^
Find (i) the surface area of a sphere whose radius is 5 cm.​

Answers

The answer is 314.16
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