Suppose a bank charges a base rate of $5 plus $0.10 per check for your checking account. You can switch to a different account that charges $4 plus $0.20 per check. For what number of checks is the monthly cost of the two accounts the same? What is the cost?

Answers

Answer 1

Answer:

10 number of checks.

Cost = $6

Step-by-step explanation:

Given that:

Fixed Charges of first bank = $5

Charges of first bank per check = $0.10

Fixed Charges of second bank = $4

Charges of second bank per check = $0.20

To find:

Number of checks such that the charges for the banks become the same?

Solution:

Let the number of checks = [tex]x[/tex]

Cost for the first bank for [tex]x[/tex] checks = $5 + $0.10[tex]x[/tex]

Cost for the second bank for [tex]x[/tex] checks = $4 + $0.20[tex]x[/tex]

As per question statement, both the costs are the same.

Comparing the values:

[tex]5 + 0.10x = 4 + 0.20x\\\Rightarrow 0.10x = 1\\\Rightarrow x = 10[/tex]

So, for 10 number of checks the cost will be same.

The cost = 4 + 0.20 [tex]\times[/tex] 10 = $6


Related Questions

Sam is a movie reviewer. He attended a premiere and wants to know what the audience thought of the movie. There were 500 guests at the premiere. Sam asked 10 guests to rate the movie on a scale of 1 to 5. Here are the ratings he collected: 2, 3, 1, 3, 2, 5, 4, 1, 2, 2 Can the data given be used to calculate a point estimate of the rating of all the guests who attended the premiere? If so, calculate it. Round non-integers to the nearest tenth. If no assumptions can be made, type 0 in the box. The approximate guest rating for the movie by all the guests is .

Answers

Answer:

The approximate guest rating for the movie by all the guests is 0.

How did I make this equivalent fraction?
1
3
JI
4
12.
4
Qual a equivalência da fração

Answers

Answer:

Both the numerator and denominator were multiplied by 4

Answer:

find a number that is divisible by both the denominator and the numerator

Step-by-step explanation:

divide 4/12 by 4, so you get 1/3

What is the area of a triangle when b=10 and h=4 ?

Answers

HOPE THIS HELPS TO YOU

Solve 2x + 2y = -28 2x - 2y = 26

Answers

Answer:

x=−y−14

Step-by-step explanation:

Answer:

x = none y = -27

Step-by-step explanation:

2x + 2y = -28 + 2x - 26

-2x                  -2x

__________________

2y = -28 - 26

2y = -54

y = -27

find the slope thanks ​

Answers

Answer:

Hello! Just here so the other person can get brainliest. I will do the same for the other questions.

Step-by-step explanation:

At a trout farm, most of the trout have a length of 23.5 cm. The length of some differ from this by as much as 2.1 cm. Write and solve an absolute-value inequality to find the range of lengths of the trout.

Answers

Answer:

21.4 ≤ x ≤ 25.6

Step-by-step explanation:

The absolute value of a number is the non-negative value of the number without regard to its sign.

The absolute value of a real number x (|x|) is x for x is positive and -x for x is negative.

Let x represent the length of the trout. Since most trout have a length of 23.5 cm and differ by 2.1 cm, then x can be represented by:

|x - 23.5| ≤ 2.1

x - 23.5 ≤ 2.1 or -(x - 23.5) ≤ 2.1

x ≤ 2.1 + 23.5 or x - 23.5 ≥ -2.1

x ≤ 25.6 or x ≥ 21.4

Hence, the range of lengths of the trout is 21.4 ≤ x ≤ 25.6

Evaluate 16/9 -2/9
4 2/3
2 2/3
1 5/9
2 4/9

Answers

Answer: C, 1 5/9

Step-by-step explanation:

16/9 - 2\9

= 14/9

= 14 ÷ 9

= 14/9 = 1 5/9

= 16/9 ÷ 2/9= 1 5/9

Please help me with this question

Answers

Answer:

3 x 3/4 = 9/4 = 2 1/4

7 x 3/8 =21/8 = 2 5/8

4 x 1/5 = 4/5

5x 2/3 = 10/3 = 3 1/3

Step-by-step explanation:

ANSWER:

3 x 3/4 = 9/4 = 2 1/4

7 x 3/8 = 21/8 = 2 5/8

4 x 1/5 = 4/5

5 x 2/3 = 10/3 = 3 1/3

Step-by-step explanation:

Which equation has no solution?
A.
4x - 9 = - 9
B.
x + 3x = 8x - 4x
C.
2x + 4 = 2x + 6
D.
3x + 2 = 17

Answers

C. 2x + 4 = 2x + 6 is the correct answer. It has no solution.

Practice:
3. The table shows the attendances y(in thousands) at an amusement park from 2005 to
2014, where x = 0 presents the year 2005.
Year, x
Attendance, y
0
850
1
845
2
828
3
798
4
800
5
792
6
785
7
781
8 9
775 760
The equation of the line of best fit is:
a
Interpolation: Approximate the year with b. Extrapolation: Predict the attendance at
an attendance of 770,000 people.
the amusement park in 2017.

Answers

omg that was hard I see that in my module to

What’s the height of the tree

Answers

I’m pretty sure it’s 132

jester has a piece of wood measuring 1 and 2/3 m.he needs to cut in pieces measuring 3/4 m long.how many pieces of wood did jester cut​

Answers

Answer:

2 pieces

Step-by-step explanation:

Given

[tex]Length = 1\frac{2}{3}m[/tex]

[tex]Pieces = \frac{3}{4}m[/tex]

Required

Calculate the number of pieces

To do this, we have to divide the length of the wood by the length of each piece.

Represent this with x

[tex]x= \frac{Length}{Pieces}[/tex]

[tex]x= 1\frac{2}{3}/\frac{3}{4}[/tex]

Convert mixed numbers to improper fraction

[tex]x= \frac{5}{3}/\frac{3}{4}[/tex]

Change division to multiplication

[tex]x= \frac{5}{3}*\frac{4}{3}[/tex]

[tex]x= \frac{20}{9}[/tex]

[tex]x = 2.22[/tex]

[tex]x = 2[/tex]

0.9b + 12 = 0.8b - 9​

Answers

Answer:

0.9b+12=0.8b-9

0.9b+0.8b= -9-9

1.7b=-21

=-12.352

3 fifths equals how many 20

Answers

Answer:

12

Step-by-step explanation:

20/5 = 4

4 x 3= 12

3/5 of 20 is 12.

This is because 3/5*20/1=60/5 which reduces to 12.

PLEASE ANSWER THIS ASAP, I WILL BE GIVING YOU A THANKS!

Answers

Answer:

cccccccccccccccccccccc

Answer:

It is D.) Infinite Solutions

Step-by-step explanation:

0.5(10x + 6) = 2x + 3 + 3x

5x + 3 = 5x + 3

2 pairs of shoes in their closet

Answers

20% probability of 2 shoes in there closets

Answer:

0.2

Step-by-step explanation:

yall it literally says the probability LOL it has its own section, look at the numbers 2 and 20 and under them, the probabilty is spelled out for you :]

Which expression is equivalent to 4(7 + 8)?
A 11+8
B 11 + 12
C 28 + 12
D 28 + 32

Answers

Answer:

D

Step-by-step explanation:

it is d because 28 and 32 =60 like your expression


someone please help!!
and explain?
7. Factor each polynomial. (4 points: 2 points each)
A. x2 + 14x + 49
B. x2 – 16x + 64

Answers

A. (X+7)^2
B.(x-8)^2..............

What are the possible degrees for the polynomial function? Help

Answers

here, mark them brainliest! have a good day!

Answer:

It is option 2 "even degrees of 6 or greater

Step-by-step explanation:

Find the missing side length in the right triangle below.

Answers

Answer:

69

Step-by-step explanation:

describe the transformation of the function f(x)=1/2x-2 that makes the slope two and the Y intercept -8

Answers

Answer:

Reflect over the axis of y=x-4

Step-by-step explanation:

f(x)=1/2x-2

g(x)=2x-8

axis of reflection: y=x-4

(This is my best guess)

How much money does the job pay per hour?
2. A class trip consists of 84 students and 6 teachers.
How many students per teacher are there?
3. A factory builds 960 cars in 5 days. What is the
average number of cars the factory produces
per day?

Answers

Answer:

2) 14 students per teacher

3) 192 cars per day

Step-by-step explanation:

A selfie ring light is originally priced at $55 is marked down 25%. What is the sale price?

Answers

Answer:

41.25

Step-by-step explanation:25% of 55 is 13.75

Noah was assigned to make 64 cookies for the bake sale. He made 25% MORE than that. How many cookies did Noah make? Explain how you got your answer.



PLEASE HELP MEH! WILL MARK BRAINLIEST!! DUE TODAY

Answers

Answer:

8 cookies were left after the bake sale. 72 were sold.

Step-by-step explanation:

64*1.25= 80

80*.9= 72

8

125% of 64 is equal to 80.

90% of 80 is equal to 72.

The number left was 10% of the number he made. The number he made was 125% of 64, so the number left was 8

 10% × 125% × 64 = 0.125 × 64 = 8

thats all i could really come up with at the top of my head

oh here you go theres the question

Answers

Answer:

in the first step you were supposed to multiply 3 and two not subrtract 5 and 3 because you have to multiply first according to P.E.M.D.A.S.

Step-by-step explanation:

Answer:

In the second step, the student did not complete the right steps in the right order.

Step-by-step explanation:

You should always complete equations using PEMDAS...Parenthesis, exponents, multiplication, division, addition, subtraction. The equation should look like this...

6*6 + 5 - 3 * 2

36 + 5 - 6

41 - 6

35

Hope this helps :)

9.) Is the graph below line your nonlinear?

Answers

Answer:

Linear.

Step-by-step explanation:

A linear graph is any straight-line graph. That's a straight line.

Answer:

No

Step-by-step explanation:

This graph is not a non-linear line, in fact, it's a linear line. A non-linear line is a line that is not straight, a line that is curved. And as you can see in this graph, the line is straight which makes it a linear line.

Hope this helped!

You spin a spinner with four numbers on it, and flip a coin. Find the probability of the compound event.
The probability of spinning a 3 and flipping heads is:

Answers

Answer:

I think 4/7 but i'm not sure.

Step-by-step explanation:

Answer:

it's 3/4 not sure

Step-by-step explanation:

A crafter is making a triangular flag. She has two sides of length 22 in and 36 in. What are the length possibilities for the third side?

Answers

Answer:

22 in.

Step-by-step explanation:

IN MY BRAIN

the answer is 58^2 because of pythagorean theorem

The graph of a proportional relationship is given along with an equation for a difference relationship. Which situation has a greater unit rate?
•A
• B
•C

Answers

Answer:

I think its C

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

yo welcome....

NANNIIII?!

1. Dixie has a bag of coins. The bag contains 10
dimes, 1 nickels, and 4 penny. She will randomly
choose a coin from the bag. What is the probability
that Dixie will NOT choose a penny?
C.
15
15
A.
B.
D. Not Here
4
Please help me I give brainilest

Answers

Answer:

Its A 11/15

Step-by-step explanation:

There are 15 probabilities and 4 of them are pennies which you cant choose from that elimenates 4 possible outomes so subtract the 4 you get 11.

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