The table shows the balance of two accounts each year for four years. Determine whether each balance is linear or nonlinear. Then predict which account will have a greater balance in Year 3.

Year, t Account A Balance Account B Balance
0 $450 $550
1 $504 $570
2 $564.48 $590

Account A Balance is linear. Account B Balance is nonlinear. Account A will have a greater balance in Year 3.

Account A Balance is nonlinear. Account B Balance is linear. Account A will have a greater balance in Year 3.

Account A Balance is linear. Account B Balance is nonlinear. Account B will have a greater balance in Year 3.

Account A Balance is nonlinear. Account B Balance is linear. Account B will have a greater balance in Year 3.

Answers

Answer 1

Account A Balance is nonlinear. Account B Balance is linear. Account A will have a greater balance in Year 3. Then the correct option is B.

What is the slope?

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

The slope for account A is calculated as,

m = (504 - 450) / (1 - 0) = (564 - 504) / (2 - 1)

54 ≠ 60

Account A is non-linear. The amount after 3 years will be more than $620 ($564 + $60).

The slope for account B is calculated as,

m = (570 - 550) / (1 - 0) = (590 - 570) / (2 - 1)

20 = 20

Account A is linear. The amount after 3 years will be $610 ($590 + $20).

More about the slope link is given below.

https://brainly.com/question/3605446

#SPJ2


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I don’t know if this is right or not but m < ABD + m < BDC = 90

Which of these cylinders has the same volume as one with a radius of 4 ft and a height of 9 ft?

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Answer:

B

Step-by-step explanation:

V=π4²×9=144π

for B

V=π3²×16=144π

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Answer:

111.678

Step-by-step explanation:

Write an equation for the hanger diagram and then us the sketch to show how to solve the equation algebraically.

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Answer:

2y + 3 = 6

Step-by-step explanation:

2y + 3 = 6 Subtract 3 from both sides

2y = 3 Divide 2 from both sides

y = 3/2

Question 2 (10 points)
Classify <1 and < 2 using all names that apply.

a Vertical
b Adjacent
C Complementary
d Supplementary

Answers

Answer:

B. adjacent and D. supplementary

I need to find the intersection
9=x+y, 11=x^2+y

Answers

Points of intersection are (2,7) and (-1,10)

What is the value of x

Answers

Answer:

x = 9

y = 5

Step-by-step explanation:

<N and < M are opposite equal sides. So they are equal as well. In addition, the base is equal to the other 2 sides. That means you are dealing with an equilateral triangle. All the angles are equal to 60 degrees.

7x - 3 = 60 degrees     Add 3 to both sides

      3      3

7x = 63                         Divide by 7

x = 63/7

x = 9

Just for the sake of completeness, we'll find y

11y + 5 = 60                 Subtract 5 from both sides

     -5      -5

11y = 55                       Divide by 11

y = 55 /11

y = 5

Write an equation for the hanger diagram and then us the sketch to show how to solve the equation algebraically.

Answers

Answer:

3x + 2 = 3

Step-by-step explanation:

3x + 2 = 3 Subtract 2 from both sides

3x = 1 Divide both sides by 3

x = 1/3

HELP PLEASE! QUICK AND EASY POINTS! USE THE IMAGE PROVIDED!!

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Answer: 4.8 and 3.2
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Help me real fast with this one

Answers

Answer:

The answer should be 75 if i did the math right

Answer:

Step-by-step explanation:

You have to add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

So in this case it would be:

46+56+64+64+72+76+77+82+94+96+99.

And the answer for the first step is: 826.

Next Step!

826 will have to be divided by 11.

Because there are 11 numbers that had to be added.

So 826÷11=75.

I hope this helps       :)

A baker needs 40 fluid ounces of milk for a chocolate cake recipe and 64 fluid ounces of milk for a carrot cake recipe. How many cups of milk does the baker need for the carrot cake and the chocolate cake recipes combined?

Answers

Answer:

104 ounces

Step-by-step explanation:

40+64= 104

.......

the baker needs 13 cups of milk

Sierra is saving for a bike and helmet.
The bike costs $158.78 and the
helmet costs $28.96, and both include
tax. If she has saved $136 from her
babysitting job, how much more does
she need to earn in order to buy the
bike and helmet?

Answers

it would be 806 of 16

Best answer gets brainliest.

Answers

Answer:

20 ft

Step-by-step explanation:

the 6 ft persons shadow was reduced by a factor of 4 for the flagpole shadow being 5 ft long just multiply by 4 to get 20 because 20/4=5

7. Find the value of x in the triangle.
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Answers

Answer:

33 degress

hope i helped :)

Step-by-step explanation:

En un salon de una academia solo asisten a un examen los 3/4 de los alumnos y de estos aprueban los 4/5 ; si los desaprobados son 21 ¿cuantos alumnos hay en dicha aula?

Answers

Answer:

Hay 140 alumnos en dicha aula.

Step-by-step explanation:

Primero, debes encontrar la cantidad de alumnos que aprobaron que corresponde a 4/5 usando una regla de tres teniendo en cuenta que sabes que 1/5 corresponde a 21 que son los estudiantes que no aprobaron:

1/5  → 21

4/5 →  x

x=(4/5*21)/1/5

x=(84/5)/(1/5)

x=84*5/5*1

x=420/5

x=84

Ahora, puedes sumar el número de estudiantes que aprobaron con el número de estudiantes que no aprobaron para encontrar el total que estudiantes que asistieron al examen:

84+21=105

Después, dado que sabes que 105 estudiantes corresponde a 3/4 de los alumnos en un aula, puedes usar una regla de tres para encontrar el número de estudiantes en el aula:

3/4 → 105

1     →   x

x=(1*105)/(3/4)

x=(105/1)/(3/4)

x=105*4/1*3

x=420/3

x=140

De acuerdo a esto, la respuesta es que hay 140 alumnos en dicha aula.

what's the equation of the parabola in intercept form​

Answers

Answer:

( o ,-1 ) y- intercept

( 2 , - 1 ) extra point

Step-by-step explanation:

ax2+bx+cy=ax2bx2


[tex]3 {x}^{2} - 5x = 2[/tex]

Answers

☁ Problem:

[tex]3x^2-5x=2[/tex]

☁ Answer:[tex]x=2[/tex]☁ Solution:[tex]3x^2-5x=2[/tex][tex]3x2-5x-2=2-2[/tex][tex](3x+1)(x-2)=0[/tex][tex]3x+1=0[/tex][tex]x=2[/tex]☁ 좋은 하루 되세요!! ☁

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Answers

Answer:

125, 20

Step-by-step explanation:

Answer:

1.95

Step-by-step explanation:

X= 10

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200-5/10×10

195/10×10

195/100

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Each side of a square piece of plastic is 2 centimeters long. What is the piece of plastic's area?

Answers

Answer:

4cm because area is length times width

Step-by-step explanation:

Answer:

4 cm2

Step-by-step explanation:

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The value of x is 1. Find the value of each expression and type
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X-1
-1 + x
I
1st
2nd
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Answers

Answer:

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How was the government able to make children go to residential school?

National statistics show that 23% of men smoke and 18.5% of women smoke. A random sample of 175 men indicated that 45 were smokers, and a random sample of 155 women surveyed indicated that 42 smoked. Construct a 98% confidence interval for the true difference in proportions of male and female smokers.

Answers

Answer:

98% C.I. = [-0.1270, 0.0994]

Step-by-step explanation:

Here

p1= proportion of men smokers

p1= 45/175= 0.2571

p2= proportion of women smokers

p2= 42/155= 0.2709

1)  Choose the significance level ∝= 0.02

2) The formula for confidence interval is

(p1^- p2^)- z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))

and

(p1^- p2^) z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))

3)  The z value is 2.05

4) Calculations:

(p1^- p2^)- z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))

Putting the values

= 0.2571-0.2709)(-2.05) sqrt ( 0.2571(1-0.2571)/175+ 0.2709(1-0.2709)/155)

=-0.1270 ( using calculator)

And

(p1^- p2^)z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))

Putting the values

= 0.2571-0.2709)(2.05) sqrt ( 0.2571(1-0.2571)/175+ 0.2709(1-0.2709)/155)

=0.0994  ( using calculator)

and Putting ± 2.05 in the confidence interval formula we get limits (-0.1270, 0.0994)

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Answers

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Answers

Answer:

0.2

Step-by-step explanation:

5/25 as a decimal is 0.2.

1/5=0.2

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Answers

Answer:

Step-by-step explanation:

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Answer:

123470

easy question dude plz mark me as brainliest

The cable company charges $95 a month plus a $45 set up fee. If Mason has paid $615 for n number
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Answers

Answer:

6 months

Step-by-step explanation:

615=95n+45

-45 from 615 =570

570=95n

divide both side by 95

Answer:

6 Months

Step-by-step explanation:

95 x 6 is 570. If you add the set up fee, it comes down to 615 dollars.

Hope this helps! Have a great rest of your day/night. :)

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Answers

Answer:

AC = 8.2 m

AD = 8.57 m

Step-by-step explanation:

The answers were rounded to the nearest hundredth, hope this helps!

Can you help me (There's a photo) you have to do grater then and = to

Answers

Answer:

Top left: > Top right: > Bottom left: < Bottom right: >

Step-by-step explanation:

Answer:

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If you are taking a test at 8:30 am and it takes you 2 1/2 hours what time would it be? PLEASE ANSWER

Answers

Answer:

11:00

Step-by-step explanation:

This is easier than I thought...

So 8:30+2 is 10:30

...and now we have 1/2 left.

1/2 in this case of time would be 30

So, 10+30+30 would be 10:60

Now all we have to do is simplify it

60 minutes= 1 hour

So...

10:60-60=10

10+1=11

11 AM is the correct answer!

Hope this helps! :D

What is the volume, in cubic feet, of the cylinder below?
6 ft
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Answers

Answer:

226.1946711 cubic ft

Step-by-step explanation:

volume of cylinder = πr²h

diameter (d)=6ft

r= d/2 = 6/2=3ft

h= 8ft

putting all values in the formula and calculating the volume

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