In 1968 it cost $54 000 for a 30-second commercial during the super bowl. In 1973, the cost for a 30-second commercial was $88,000. What is the percent increase, rounded to the nearest whole number, in the cost for a 30-second commercial from 1968 to 1973?

Answers

Answer 1

Answer:

63 %

Step-by-step explanation:

Percentage change in value value for any number is given by

percentage change = (new value - old value) /old value * 100

we can also write it as

percentage change = (change in value ) /old value * 100

________________________________________

cost of commercial in 1968 = $54000

cost of commercial in 1973 = $88000

change in cost of commercial = cost of commercial in 1973 - cost of commercial in 1973  = $(88000-54000) = $34000

thus,

percentage change in cost of commercial

         = change in cost of commercial/cost of commercial in 1968 * 100

         = 34000/54000*100 = 62.96 %

Thus, percentage change in cost of commercial is 62.96 %

we have to round it to nearest whole number

rounded value of 62.96 is 63

in that case

percentage change in cost of commercial is 63 %


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Step-by-step explanation:

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Given: K is between H and J, HK = 2x − 5, KJ = 3x + 4, and HJ = 24. What is the value of x?

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Answer: x = 5

Step-by-step explanation:

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Answer:

4x³ + 3x² - 3x - 8

Step-by-step explanation:

Step 1: Write expression

(4x³ + 2x - 3) + (3x² - 5x - 5)

Step 2: Combine like terms

4x³ + 3x² - 3x - 8

Answer:

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Step-by-step explanation:

Use parentheses and combine like terms.

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Step-by-step explanation:

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Three step linear equations

8x - 10 = 4x - 30

Answers

Answer:

x = -5

Step-by-step explanation:

8x - 10 = 4x - 30

Subtract 4x from each side

8x-4x - 10 = 4x-4x - 30

4x -10 = -30

Add 10 to each side

4x-10+10 = -30+10

4x= -20

Divide by 4

4x/4 = -20/4

x = -5

If you simplified 10/15 as a fraction what would the answer be

Answers

Answer:

2/3

Step-by-step explanation:

10/15 can be divided by 5

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Answer:

The angle across the given measurements are the same. So there will be a 27 degrees across from the other 27 degrees. The straight line is 180 degrees, so do 180-27=153. The means the other 2 angles are 153 degrees. The other one is the same, but with different measurements. 180-35=145

Step-by-step explanation:

Let the angle adjacent to ∠27° be x .

[tex]∠x + 27 = 180° \: ( \: linear \: pair \: )[/tex]

[tex]x = 180 - 27 \\ ∠x = 153°[/tex]

Let the angle opposite to ∠27° be y .

[tex]∠y = ∠27° \: ( \: vertically \: opposite \: angles \: )[/tex]

Let the angle adjacent to ∠y ( 27°) be w .

[tex]w + ∠27° = 180° \: ( \: linear \: pair \: ) \\ w = 180 - 27 \\ ∠w = 153°[/tex]

Let the angle opposite to ∠35° be p .

[tex]∠p = ∠35° \: ( \: vertically \: opposite \: angles \: )[/tex]

Let the angle adjacent to ∠35° be a .

[tex]∠a + 35° =180 ° \: ( linear \: pair ) \\ a = 180 - 35 \\ ∠a = 145°[/tex]

Let the angle opposite to ∠35° be t .

[tex]∠t = 35° \: ( \: vertically \: opposite \: angles \: )[/tex]

Let the angle opposite to ∠145° be o .

[tex]∠o \: = 145° \: ( \: vertically \: opposite \: angles \: )[/tex]

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Answers

(2x - 20) = 55
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b) Explain how you know whether it is a linear, quadratic, or neither function.

Answers

Answer:

Quadratic function

Explanation:

It is not linear because the difference between y values is not constant.

([tex]10-5\neq 5-2[/tex] for example) In a linear function, the difference between y values would be constant.

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Answer:

x = 1

Step-by-step explanation:

[tex] {x}^{2 } - {x}^{2} - 3x + 3 \\ - 3x + 3 \\ 3x = 3 \\ x = 1[/tex]

Explain why 10 x 2 is equivalent to 10 ÷ 1/2.

Answers

Answer:

in order to divide by a fraction, you need to multiply by its reciprocal instead, which would be 2 over 1 (2/1)

Step-by-step explanation:

in this case, 10 divided by 1/2 turns to 10 x 2/1

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10x² - x - 2 = 0
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Answer:

X=1/2, -2/5

Step-by-step explanation:

Solve the equation for X by finding a, b, and c of the quadratic then applying the quadratic formula.

Answer:

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Step-by-step explanation:

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Which property is used in the last step to find that x = 10?

Answers

Answer:

The answer is Division property of equality

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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SOME ONE PLEASE HELP!!! I HAVE A TEST SOON AND IDK HOW TO DO THIS!!!

im my wallet i have some quarters and some dimes. i have 16 coins in all and they total $2.95. how many of each coin do i have

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Answers

Answer:

8 quarters and 8 dimes

Step-by-step explanation:

Answer:

9 quarters 7 dimes they equal $2.95

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C) solve your proportion. Check that your answer is reasonable.

Answers

Answer:

a) 18

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Step-by-step explanation:

a) 30 × [tex]\frac {60}{100}[/tex]

= 18 students walk to school

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c)

18 : 12

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Answer

Step-by-step explanation:

If Kelly's heart beats an average of 1*10^2 times per minute , about how many times does Kelly's heart beat in a year?(1 year is 525,600 minutes)

Answers

Find out how many times her heart beats in a min then multiply it by 525,600

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Answer:

D

Step-by-step explanation:

Answer is D

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Answers

Answer:

5, 12, 6, 4, 6, 5

Step-by-step explanation:

The nearest square root to 28 is 25, which is 5.

The nearest square root to 135 is 121, which is 12.

The nearest square root to 38.7 is 36, which is 6.

The nearest cubic root to 51 is 64, which is 4.

The nearest cubic root to 200 is 216, which is 6.

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Answer:

2:5

Step-by-step explanation:

beacuse ratio is 8/20 which is equal to AP/PB= 2/5

Answer:

2.5

Step-by-step explanation:

AP is 8

PB is 20 thus

AP

PB is equal to8/20 which is 2.5

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Answer:

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Step-by-step explanation:

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Answer:

Its a very complex solution but it x

=

0

,

3

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2

Step-by-step explanation:

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Answers

Answer:

k=  5 over 3  =1.667

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (3)/(2)-((9)/(10)*k)=0

simplify 9/10

 3      9

 — -  (—— • k)  = 0  

 2     10

simplify 3/2

 3    9k

 — -  ——  = 0  

 2    10

   Find the Least Common Multiple

     The left denominator is :       2  

     The right denominator is :       10

Least Common Multiple:

     10

Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M  

   Denote the Left Multiplier by  Left_M  

   Denote the Right Multiplier by  Right_M  

   Denote the Left Deniminator by  L_Deno  

   Denote the Right Multiplier by  R_Deno  

  Left_M = L.C.M / L_Deno = 5

  Right_M = L.C.M / R_Deno = 1

Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      3 • 5

  ——————————————————  =   —————

        L.C.M              10  

  R. Mult. • R. Num.      9k

  ——————————————————  =   ——

        L.C.M             10

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3 • 5 - (9k)     15 - 9k

————————————  =  ———————

     10            10  

Pull out like factors :

  15 - 9k  =   -3 • (3k - 5)

-3 • (3k - 5)

 —————————————  = 0  

      10      

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 -3•(3k-5)

 ————————— • 10 = 0 • 10

    10    

Now, on the left hand side, the  10  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -3  •  (3k-5)  = 0

Solve :    -3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    3k-5 = 0  

Add  5  to both sides of the equation :  

                     3k = 5

Divide both sides of the equation by 3:

                    k = 5/3 = 1.667

one solution was found

k = 5/3 = 1.667

hope it helps sry its so long

Zachary purchased a computer for 1100 on a payment plan. 4 months after he purchased the computer, his balance was $755. Five months after he purchased the computer, his balance was $640. What is an equation that models the balance b after m months. What does the slope signify is zacharys equation?

Answers

Answer:

Model is

b = 115m + 65

The slope represents the amount of balance offset per month

Step-by-step explanation:

Here, we want to model an equation.

The equation to model will be in the form;

y = mx + c

we have the following points to consider

The points are in the form;

(number of months, balance)

(m , b)

So the points we have are;

(4,755) and (5,640)

So the slope will be ;

(y2 -y1)/(x2-x1) = (755-640)/(5-4) = 115

So the equation will be;

b = am + c

where a is the slope and c is the y intercept

we already have the slope

so equation becomes;

b = 115m + c

let’s get the y-intercept

we can get the y-intercept by any of the points;

That would be; let’s use (5,640)

640 = 5(115) + c

640 = 575 + c

c = 640 -575

c = 65

So the equation of the model is;

b = 115m + 65

The slope represents the balance per month

Given f(x) = 17- x?, what is the average rate of change in f(x) over the interval [1, 5]?
-6
-1/2
1/4
1

Answers

Answer: -6

Step-by-step explanation: I just took the test

I need help again..... and FAST

Answers

Answer:

b

Step-by-step explanation:

Answer: B
Why: Reason being is that if you look at the graph the most likely answer will be B.

Last year Essex Manufacturing paid $3500 for utilities. This year the company used energy-saving techniques to reduce the utility bills by 13% of last year's cost. What was the cost of utilities for Essex Manufacturing this year?

Answers

Answer:

$3045

Step-by-step explanation:

You need to find 13% of 3500, and subtract it from 3500.

13% of 3500 = 455

3500 - 455 = 3045

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