You are deciding between First National Bank and Liberty Bank. They both offer checking and savings accounts. First National charges a $10 fee to receive checks and charges $2.50 per ATM transaction. Liberty Bank has no check fee but charges $3.25 per ATM transaction. How many times do you need to be charged an ATM fee before you are paying the same amount of money in fees at both banks?
Step 1: Define your variables - Look at the question statement. What are you being asked to find?



Step 2: Write 2 equations that use those unknown variables



Step 3: Solve the system of equations



Step 4: State your solution. What does it mean in the context of the word problem?

Answers

Answer 1
Your answer is gonna be 2.50/40km so it’s gonna be 12$

Related Questions

Rotate shape A 90° clockwise with centre of rotation (0,0).
What are the coordinates of the vertices of the image?

Answers

Step-by-step explanation:

(3,3)====(3,-3)

(3,2)====(2,-3)

(5,2)====(2,-5)

In circle S with the measure of arc \stackrel{\Large \frown}{RT}= 156^{\circ} RT ⌢ =156 ∘ , find \text{m} \angle RSTm∠RST

Answers

The measure of arc RT in the circle S is about 60 degrees.

What is a circle?

A circle is the locus of a point such that the distance from its fixed point is always constant.

The question is not complete. A similar question is attached.

From the diagram:

arc RT = 2 * ∠RUT(angle at circle center is twice angle at circumference)

arc RT = 2 * 30

arc RT = 60°

The measure of arc RT in the circle S is about 60 degrees.

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4) Aníka grows vegetables and sells them at a farm stand. She gives a discount to local restaurants.

The table shows the restaurant's price,p. Of buying vegetables with a regular price of r dollars.

Regular price in dollars (r)

40

45

50

55

Restaurant's price in dollars (p)

32

37

42

47

• Write an equation that represents the relationship.

С



р

8

Answers

Answer:

p = r-8

Step-by-step explanation:

40-8=32
45-8=37
50-8=42
47-8=47
each step goes down by the same amount, so anika gives an 8 dollar discount to the local restaurants

If two angles are supplementary and congruent, what is the measure of each angle?

100°
180°
90°
45°

Answers

Answer:

90

Step-by-step explanation:

supplementary angles equal 180 degrees and 90+90=180

Answer:

90°

Step-by-step explanation:

     Supplementary angles are angles that add up to 180°.

     Congruent means the angles are equal to each other.

     Since there are two angles, and they have to be equal to each other, we can divide 180° by 2 to find the measure of each angle.

180° / 2 = 90°

            Both angles have a measure of 90°.

how do you do one step equations?

Answers

A one-step equation is an algebraic equation you can solve in only one step. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
It’s simple to do one step equations

Let’s take x = -5 + 7 for example.
First, we need to remove -5. We can do this by adding 5 to -5 to make it zero. Since we added 5, we have to add 5 to seven. What ever you do on one side, you have to do to the other. 5 + 7 = 12. Now all that’s left on the equation is x = 12 and that would be your answer. Im not good at explaining things but I hope this helps you!

Which graph best represents the equation created when the slope of y = 6x is changed to 0?

Answers

The graph with an equation y = 6x has a slope of 6. If the slope is changed to 0, the equation becomes y = 0.

What is a linear function?

A linear function is in the form:

y = mx + b

Where m is the slope (rate of change) and b is the y intercept

The graph with an equation y = 6x has a slope of 6. If the slope is changed to 0, the equation becomes y = 0.

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Kimberly has 2 1/3 bottles of milk in her refrigerator.
She used 3/4 bottle in the morning and 1 1/8 bottle in the afternoon.
How many bottles of milk does Kimberly have left over?

Answers

Answer:

1 3/20

Step-by-step explanation:

find the value of x in the triangle below

Answers

Answer:

√80 (Option A)

Step-by-step explanation:

This is Right Angled Triangle.

We'll solve this using the Pythagorean Theorem.

Let,

x be AC, where AC is the Hypotenuse.

4 be AB, where AB is the Perpendicular.

8 be BC, where BC is the Base

We know that,

[tex]{ \longrightarrow \pmb{ \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} }}[/tex]

[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = (4) {}^{2} +( 8) {}^{2} }}[/tex]

[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = 16 +64 }}[/tex]

[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = 80 }}[/tex]

[tex]{ \longrightarrow \it\pmb{ \qquad x {} = \sqrt{80} }}[/tex]

Therefore,

The value of x is √80

The figure is a right angled triangle , where the value 4 is perpendicular , 8 is base and x is hypotenuse.

So, By Pythagoras theorem

[tex]x {}^{2} = 4 {}^{2} + 8 {}^{2} [/tex]

[tex]x = \sqrt{16 + 64} [/tex]

[tex]x = \sqrt{80} [/tex]

why are the cars values modeled by exponential functions and not linear function?

Answers

If the 1st differences of consecutive y-values are constant or very nearly constant then a linear model will probably fit well. If the ratios of consecutive y-values are constant or very nearly constant then an exponential model will likely work well.

2-y^2=-14 solve for y express answer as an integer or in simplest radical form

Answers

Answer:

8

Step-by-step explanation:

y^2=-16

y= -16/1 % 2/1

y=-16/1 % 1/2

y = 8

Answer:

y=4

Step-by-step explanation:

its -y^2=-16. square root both sides to get rid of the exponent and it gives you -y=-4 which is the same as y=4

What is the solution to y=-2x+7 and y=5x-7

Answers

Answer:

x-2,y= 3, it can also be written as (2 ,3)

Step-by-step explanation:

2x-7y=5x-7-2x-7=5x-75x+2x=

7+77x=14x=2y=5x-7=5*2-7=10-..

PLEASE HELP THIS IS HARD

An experiment involves rolling two dice simultaneously. The following table shows the possible outcomes using the format of (die 1,die 2).

1 2 3 4 5 6
1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
4 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
6 (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

What is the probability of rolling two numbers with a sum that is less than 7?

Enter your answer as a reduced fraction, like this: 3/14

Answers

Answer:

5/12

Step-by-step explanation:

1 (1,1) (1,2) (1,3) (1,4) (1,5)  -5

2 (2,1) (2,2) (2,3) (2,4)  -4

3 (3,1) (3,2) (3,3)  -3

4 (4,1) (4,2)  -2

5 (5,1) - 1

I took each row from the table and deleted the die rolls that added up to less than 7.

(In row 1 there were 5 rolls, in row 2 there were 4 rolls, and so on)

Then add the number of rolls. (5+4+3+2+1= 15)

Find the total number of possible rolls [(6)(6)=36]

Put them in fraction form, rolls that are less than 7/total number of rolls

You get 15/36

Reduce the fraction by adding the numerator and the denominator by 3.

Your final answer is 5/12.

Solve for x.
0.2x – 3.2
= 1.8
1
5
X = ?

Answers

Answer:

X = 25

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Mathamatics What decimal is being represented by the decimal grid?

Answers

100/100 + 100/100 + 26/100 = 2 + 0,26 = 2,26

HELP QUICK EASY QUESTION IM JUST DUM
A factory has 10 pounds of red dye for its marbles. Each batch of
marbles uses 0.2 pound of red dye.
a. Juan says that the factory can make 5 batches of marbles with
the 10 pounds of dye. Explain why his statement is not reasonable.

Answers

Answer:

10 ÷ 0.2=50

Step-by-step explanation:

10 lbs in total. Each batch uses 0.2 lbs.

We can find how many batches can be made by dividing 10 by 0.2.

10 ÷ 0.2=50

Juan is incorrect because if they could only make 5 batches then they would have only had 1 pound of red dye available.

They have 10 pounds of red dye available to make marbles, and if each batch takes only 0.2 lbs of it, then they can make 50 batches of marbles.

12. A bakery has five different types of cookies in its display case as listed.
. Chocolate chip
. Oatmeal raisin
• Peanut butter
• Sugar
• Macadamia nut
If Cameron selects one cookie from the display case at random, what is the probability that it will be a peanut butter or sugar cookie?

Answers

2/5 is the fraction and 0.40 as a decimal:) I hope this helps! I hope you’re having a good day/night<3

Answer:

2/5

Step-by-step explanation:

Information we need to solve

Portion of peanut butter cookiesPortion of sugar cookiesTotal number of cookies

Probaility

No. of sugar and peanut butter cookies / Total cookies1 + 1 / 52/5

Which of the following is not an exponential function?

Answers

the answer would be B! there are no exponents in that answer choice!

Question 1
The purpose of the sales director's study is to determine whether attending the training program caused an increase in sales
for representatives from the two regions. So the sales director collected sales data from both groups (those receiving training
and those receiving no training) for three months after the one-month program and compared the number of orders secured
by those who attended the training program with the number of orders secured by those who didn't attend.
Part A
? Question
Select the correct answer from each drop-down menu.
because a treatment
applied to the sales
The sales director conducted
representatives
This is the best statistical study for this situation because the sales director is trying to establish

Answers

Based on the above scenario, the sales director conducted  an experiment.

Because a treatment  was applied to the sales representatives.

The the best statistical study for this situation because the sales director is trying to establish correlation.

What is an experiment?

An experiment is known to be a method that is et up with the aim to test a given hypothesis as a component of a scientific method.

In an experiment, there are the two key variables which are the independent and dependent variables. The independent variable is known to be a controlled or it is tested against the dependent variable.

See full question

Part A.

The sales director conducted a.) an experiment b.) a survey c.)an observational study because a treatment a.) was not b.)was applied to the sales representatives.

This is the best statistical study for this situation because the sales director is trying to establish a.) causality b.) correlation.

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The amount of garbage produced in the United States varies directly with the number of people who produce it. It is estimated that on average 200 people produce 50 tons of garbage annually. Approximately how many tons of garbage are produced each year by 100,000 people?
A. 800 tons
C. 125,000 tons
B. 25,000 tons
D. 400,000 tons

Answers

Answer:

B. 25,000 tons

Step-by-step explanation:

The equation is x(tons of garbage) = 1/4y(people). In this question, the y is given (100,000). using the equation, 1/4 of 100,000 is 25,000.


HELP PLEASE I REALLY SUCK AT MATH

Answers

Answer:

D is the answer because 4 goes into all of them.

Please Help! Will Give Brainlest!

Answers

Answer:

y = - 1

Step-by-step explanation:

the midline is positioned midway between the maximum and minimum values , that is

maximum value = 2 and minimum value = - 4 , then

y = [tex]\frac{2-4}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1

equation of midline is y = - 1

An equation is shown below: 2(7x − 3) = 9 Which of the following correctly shows the beginning steps to solve this equation? (4 points)​

Answers

Answer:

2(7x-3)=9

14x-6=9

14x=9+6

14x=15

x=15/14

Hey there!

Let's solve this equation!

We have

2(7x-3)=9

Use the Distributive Property & distribute 2:

14x-6=9

Now, add 6 to both sides:

14x=15

Divide both sides by 14:

x=15/14

Hope everything is clear.

Let me know if you have any questions!

#ILoveLearning

:-)

if the surface area of a sphere is 48.3cm^2, find its diameter. PLEASE HURRY

Answers

Answer:

Step-by-step explanation:

The diameter to answer 3.92 A=4 pi r2 d=2r

One side of a triangle is 5 units longer than a second side. The ray bisecting the angle formed by these sides divides the opposite side into segments that are 7 units and 9 units long. Find the perimeter of the triangle. Give your answer as a reduced fraction or exact decimal

Please explain your answer.

Answers

The perimeter of the triangle described in statement has a measure of 56 units long.

How to determine the perimeter of a triangle

After a quick though careful reading, we construct a triangle based on all information given in the statement, based on the fact that the longest segment is adjacent to the longest missing side. Since both sides have two angles with the same magnitude, then we have the following ratios:

[tex]\frac{x}{7} = \frac{x+5}{9}[/tex]   (1)

Now we solve the expression for x:

9 · x = 7 · x + 35

2 · x = 35

x = 17.5

And the perimeter of the triangle is determine by summing the three sides:

p = 9 + 7 + (17.5) + (17.5 + 5)

p = 56

The perimeter of the triangle described in statement has a measure of 56 units long. [tex]\blacksquare[/tex]

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Lily wants to do fencing around a circular garden that has a radius of 70m. If the cost of fencing is $12 per meter, find the total cost of fencing for the entire garden (use pi=22/7

Answers

Answer:

$5280

Step-by-step explanation:

Since the radius of the circle is 70m, the perimeter or circumference of the circle is 2πr --> 2 * 70 * 22/7 which is 440 meters. Since each meter of fencing costs $12, the total cost of the fencing is $5280

multiply .( p + q ) ( p + q )​

Answers

Answer:

[tex](p + q)(p + q) \\ = {p}^{2} + pq + pq + {q}^{2} \\ = {p}^{2} + {q}^{2} + 2pq \\ = {(p + q)}^{2} \\ thankyou[/tex]

Sofia has been saving money to buy a new computer. For her birthday, Sofia’s mother gave her twice what she had already saved. Now she has $135.

How much money did Sofia have before her birthday ?

Answers

Answer:

67.5

Step-by-step explanation:

135/2=67.5

answer is $67.50

A chocolatier makes chocolate bon-bons in the shape of a sphere with a diameter of 2 cm. The chocolate used in the bon-bons has a density of 1.33 g/cm^ 3 If the chocolate used costs $0.04 per gram, how much would the chocolate for 110 bon bons cost , to the nearest cent?

Answers

The total amount it would cost to make 110 bon bons given the cost per gram is $24.52.

What is the total amount it would cost to make 110 bon bons?

The first step is to determine the gram used in making the chocolate.

Gram = density x volume

Volume = 4/3πr³

4/3 x 22/7 x (2/2)³ = 4.19cm³

Gram = 4.19cm³ x 1.33 = 5.57 g

Cost of 110 bon bons = 5.57 x 0.04 x 110 = $24.52

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Use the distributive property (expand) to write an equivalent expression for: 3(4x-2t). Type your answer ( I NEED THIS RIGHT AWAY PLS)

Answers

Answer:

The distributive property here is to just multiply each value by tree number outside the parenthesis.

3 ( 4x - 2t)

12x - 6t

That would be your answer.

The angle of elevation to a nearby tree from a point on the ground is measured to be 65 degrees. How tall is the tree if the point on the ground is 92 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.

Answers

Answer:

102feets

Step-by-step explanation:

sin 65=92÷x

0.906=92÷x

x=102

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