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.

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Related Questions

If x = 2 and y = 6 , evaluate the following expression: 2 ( x + y )

Answers

Answer:

Step-by-step explanation:

If x = 2 and y =6

Then

2 ( x+ y)

= 2 ( 2 + 6)

= 2 * 8

= 16

hope it helps :)

Answer:

16

Step-by-step explanation:

you will do 2 + 6 = 8

so it = 8

x=2

y=6

and than u will 8 x 2 = 16

the answer is = 16

What is the volume of the rectangular prism below? Use the formula V = lwh. 4 ft 4 ft 8 ft​

Answers

Answer:

V=128

Step-by-step explanation:

Answer:

V =128ft^3

Step-by-step explanation:

V=lwh=4*4*8=128

n-10+9n-3 step by step​

Answers

Answer:

10n−13

Step-by-step explanation:

Let's simplify step-by-step.

n−10+9n−3

=n+−10+9n+−3

Combine Like Terms:

=n+−10+9n+−3

=(n+9n)+(−10+−3)

=10n+−13

The area of a circle having radius 14 cm is
cm.
Use *
22
7

Answers

Answer:

A=616cm²

Step-by-step explanation:

The question says to use

[tex] \frac{22}{7} [/tex]

for pi, now that we know that we proceed like normal and do the formula like this.

[tex] \frac{22}{7} {r}^{2} \\\frac{22}{7} \times 196 \\ = 616[/tex]

The probability Bob guesses the winner of a certain baseball game is 4/5. The probability Joe independently guesses the winner of another game is 1/3. What is the probability that exactly one of them selects the winner? (Fraction answer)

Answers

SANA ALL SMART HAHAHAHHAAHHAHAAHA

If x=7 then which answers would I circle? A. X + 7 = 17 b. 7 = 17 - x c. 70 = 10x d. X/35 = 5 e. 15x = 105

Answers

Answer:

C. 70 = 10x

E. 15x = 105

Step-by-step explanation:

x = 7

Using method of elimination;

A. X + 7 = 17

Substituting the value of x;

7 + 7 ≠ 17 (Incorrect option)

B. 7 = 17 - x

Substituting the value of x;

7 ≠ 17 - 7  (Incorrect option)

C. 70 = 10x

Substituting the value of x;

70 = 10 * 7  (Correct option)

D. X/35 = 5

Substituting the value of x;

7 / 35 ≠ 5  (Incorrect option)

E. 15x = 105

Substituting the value of x;

15 * 7 = 105  (Correct option)

Which expression is equivalent to √148

A. 12

B. 12√4

C. 14

D, 2√37

Answers

Answer:

D

Step-by-step explanation:

You put square roots of 148 in the calculator than it will give you the answer

Answer:

D) 2√37

Step-by-step explanation:

√148 = √4x37 = 2√37

Find x
21/2
56/3
54/7
12

Answers

12 is the mf answer...

Subtract 11/14-2/7?Make sure your answer is fully reduced.​

Answers

Answer:

1/2

Step-by-step explanation:

turn 2/7 into 4/14 then subtract that from 11/14 and you get 7/14 and the also can go as 1/2


Translate five units left and four units down (geometry)

Answers

Answer:

Step-by-step explanation:

Omar is planning to buy some new baseball shoes. He has already saved $22.50 The shoes cost at least $38 dollars. He writes an inequality to determine how much more he will need to save

Answers

Answer:

At least $15.50

Step-by-step explanation:

Omar is planning to buy some new baseball shoes. He has already saved $22.50

The shoes cost at least 38 dollars.

At least means, greater than or equal to which is represented by the sign

The inequality is given as

22.50 + x ≥ 38

x ≥ 38 - 22.50

x ≥ 15.5

Therefore, he would need to save at least $15.50

The first three terms of an arithmetic sequence are as follows.
37, 29,21
Find the next two terms of this sequence.

Answers

Answer:

13, 5

Step-by-step explanation:

First, we find the common difference.

d = 29 - 37 = -8

Now we add -8 to the last term to find the next term.

21 + (-8) = 13

13 + (-8) = 5

Answer: 13, 5

answer would be needed ! thanks

Answers

55/A is the answer

Hope this helps
The answer is A!!!!! Por nadaaaaa

Hester sells televisions. She earns a fixed amount for each television and an additional $15 if the buyer gets an extended warranty. If Hester sells 15 televisions with extended​ warranties, she earns $1,275. How much is the fixed amount Hester earns for each​ television?

Answers

Answer: [tex]\$ 70[/tex]

Step-by-step explanation:

Given

Hester get a fixed amount and an additional $15 for an extended warranty

Suppose x is the amount of fixed amount

for 15 television sale, the price is $1275

Thus, we can write

[tex]\Rightarrow 15(x+15)=1275\\\Rightarrow x+15=85\\\Rightarrow x=\$70[/tex]

Therefore, the fixed amount of television is [tex]\$70[/tex]

Ou are a manager at Jimmy John's and have timed how fast your employees make a sandwich. Their times in seconds are below. Create a histogramto represent the data. 21,22.4,23,24.8,25.3,27,27.6,28.8,29.4,29.9,30.1,30.1,30.4,31.2,32,32.9

Answers

Answer:

See attachment for histogram

Step-by-step explanation:

Given

[tex]Data: 21,22.4,23,24.8,25.3,27,27.6,28.8,29.4,29.9,30.1,30.1,30.4,31.2,32,32.9[/tex]

Required

Represent on histogram

Calculate the range of the data

[tex]Range = 32.9 - 21[/tex]

[tex]Range = 11.9[/tex]

Using a width of 5, we have:

[tex]Class = \frac{Range}{5}[/tex]

[tex]Class = \frac{11.9}{5}[/tex]

[tex]Class =2.38[/tex]

Round up

[tex]Class = 3[/tex]

This means that the class will have 3 classes which are:

21.0 - 24.9, 25.0 - 29.9  and 30.0 - 34.9

The frequency table is as follows:

[tex]\begin{array}{cc}{Interval} & {Frequency}&{21.0 - 24.9} & {4} & {25.0 - 29.9} & {6} & {30.0 - 34.9} & {6} \ \end{array}[/tex]

See attachment for histogram

4. The Bulldog Theater charges $9.10 for each adult ticket and $7.75 for each student ticket. Mrs. Williams purchased 7 tickets (some students and some adult) for $56.95. Which system of equations could be used to find a, the number of adult tickets, and s, the number of student tickets purchased?

Answers

Answer:

Two adult tickets and 5 student tickets

Step-by-step explanation:

Let a=adult tickets   Let s=student tickets

You know that each adult ticket is $9.10 and each student ticket cost $7.75. At the end, it cost $56.95 for both students and adults so the first equation should be 9.10a+7.75s=56.95. To get the second equation, you know that Mrs. Williams purchased 7 tickets in total that were both students and adults. Therefore, the second equation should be a+s=7. The two equations are 9.10a+7.75s=56.95

a+s=7.

Now, use substitution to solve this. I will isolate s from this equation so the new equation should be s=-a+7. Plug in this equation to the other equation, it will look like this 9.10a+7.75(-a+7)=56.95. Simplify this to get 9.10a-7.75a+54.25=56.95. Simplify this again and the equation will become 1.35a=2.70. Then divide 1.35 by each side to get a=2. This Mrs. Williams bought two adult tickets. Plug in 2 into a+s=7, it will look like this (2)+s=7. Simplify this and get s=5. This means Mrs. Williams bought five adult tickets. Therefore she bought 2 adult tickets and 5 student tickets.

Hope this helps

A hose fills a 10,000-gallon swimming pool at a rate of 10 gallons per minute. what is the domain and range?

Answers

Answer:

Domain: 0 minutes to time it takes to fill. Range: 0 to a 10,000 gallons

Step-by-step explanation:

The domain will be from 0 minutes to time it takes to fill i.e., 1000 and range will be from 0 to 10000 gallons.

It is given that a hose fills 10000 gallon swimming pool at rate of 10 gallons per minute.

We have to find the domain and range.

What do you mean by domain and range ?

The domain is the set of all values for which the function is defined and the range of the function is the set of all values that function takes.

As per the question ;

Capacity of swimming pool = 10000 gallons

Rate of filling = 10 gallons per minute

So ;

Time taken in filling the swimming pool will be ;

= 10000 / 10

= 1000 minutes

So ;

The domain will be from 0 to 1000 minutes i.e., time taken to fill the swimming pool.

Whereas ;

The range will be from 0 to 10000 gallons i.e., amount of swimming pool filled.

Thus , the domain will be from 0 minutes to time it takes to fill i.e., 1000 and range will be from 0 to 10000 gallons.

To learn more about domain and ranges click here ;

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Marcus mows lawns for his summer job. He earns $15 per lawn. If he earned $75 dollars during the week, how many lawns did he mow?

Answers

Marcus mowed 5 lawns

Explanation: 75 divided by 15 = 5


Please help quarter ends tomorrow and I don’t know what to do I’m failing all my classes

Answers

Answer:

The answer is: x-y-10=0

Karla has spent $39 on food. She bought milk, cheese, and meat. The milk cost half as much as the cheese and the meat cost four times as much as the cheese. Which equation would help you find the cost of the cheese?

Let c = the amount spent on cheese

Click on the correct answer:

1)C+ 4c/5c=39

2)C+2c + 4c = 39

3)C+.5c + 4c = 39

4)C(.5c+ 4c) = 39

This is part of "Using Linear Equations to Solve Problems:Application" on Edmentum.​

Answers

Answer:

i think the answer is 3)C+.5c + 4c = 39

Step-by-step explanation:

I need help. Do not post a link to a site!

Find the value of each variable.

Answers

Answer:

the answer is x=45⁰ y=45⁰

may I help you

Use the relationship between quantities to calculate the
missing values in the table
A =
B =
HELP ME PLEASE ILL DO ANYTHING

Answers

Answer:

Step-by-step explanation:

Photo Proof

The missing value should be in the table is 750 and 1250.

Calculation of the missing value:Minutes       Words

1                     250

2                    500

3                     750

4                    1000

5                    1250

Since we can see that there is the gap of 250 in each words

like

= 250 + 250

= 500

So

= 500 + 250

= 750

And, so on

learn more about quantities here: https://brainly.com/question/13690145

 

the three steps shown below were used to find an expression equivalent

Answers

Answer:

You forgot to fully write the question

Step-by-step explanation:

(灬 º‿º 灬) ♡

What does the point (2, 12) represent?

Answers

2 minutes to get to 12 ft

Answer:

That a sloth will walk 12 feet in 2 minutes

Step-by-step explanation:

The figures are similar. Find the area of the smaller rectangle. GIVING BRAINLY!!

Answers

Answer:

4 in^2

Step-by-step explanation:

The rate is 1:5

Draw the graph of the equation
g(x) = -3x +2.
You can refer to the section "Drawing Graphs in Mobius" in the unit "Introduction to
Mobius" for
practice in drawing graphs of lines in Mobius.
Part a: Find one point on the line. Often it's smart to start with the value x = 0 because multiplying by
and adding 0 are easy. In other words, find the y-intercept.
The point (0, Number ) is on the line g(x) = -3x + 2.
Part b: Find a second point on the line. Often it's easier to continue with the value x = 1 as multiplying
by and adding 1 are pretty easy.
The point (1, Number ) is on the line g(x) = -3x +2.

Answers

Use DESMOS to graph any function online.

The picture shows the graph of g(x) = -3x + 2.

csc pi/3 exact value ?

Answers

Answer:

Exact Form:

2√3/3

Decimal Form:

1.15470053

Step-by-step explanation:

Multiply

2√3

and

√3√3.2√3√

3

3

Raise

3

to the power of

1

.

2

3

3

1

3

Raise

3

to the power of

1

.

2

3

3

1

3

1

Use the power rule

a

m

a

n

=

a

m

+

n

to combine exponents.

2

3

3

1

+

1

Add

1

and

1

.

2

3

3

2

Rewrite

3

2

as

3

.

Tap for fewer steps...

Rewrite

3

as

3

1

2

.

2

3

(

3

1

2

)

2

Apply the power rule and multiply exponents,

(

a

m

)

n

=

a

m

n

.

2

3

3

1

2

2

Combine

1

2

and

2

.

2

3

3

2

2

Cancel the common factor of

2

.

Cancel the common factor.

2

3

3

2

2

Divide

1

by

1

.

2

3

3

1

Evaluate the exponent.

2

3

3

Solve for t. You must write your answer in fully simplified form.
−19= 7t

Answers

Answer: dot know srry

Step-by-step explanation:

question number four pls help I will mark brainiest​

Answers

I am not really sure but I think the answer is B

what’s the answer? (picture)

Answers

I think it would be B i’m sorry if it’s wrong have a good day!
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