Cecily is comparing two checking accounts. Checking account A has a monthly fee of $16 and a per-check fee of $0.08, while checking account B has monthly fee of $14 and a per-check fee of $0.12. She want to know how many checks she would need to write per month for the accounts to charge the same amount in fees.

Part III: What equation can be set up to solve for the number of checks Cecily would need to write per month for the accounts to charge the same amount in fees?

Part IV: How many checks would Cecily need to write per month for the accounts to charge the same amount in fees?​

Answers

Answer 1

Part 3

Checking account A has a monthly fee of $16 and a per-check fee of $0.08

If she writes x checks, where x is some nonnegative whole number, then she is charged an additional 0.08x dollars on top of the 16 dollar fee.

The total cost of checking account A is 0.08x+16 dollars.

The total cost of account B is 0.12x dollars for similar reasoning. We don't have a monthly fee, but the cost per check is higher.

Set the two expressions equal to one another to get your answer.

Answer:  0.08x+16 = 0.12x

==============================================

Part 4

Let's solve the equation we set up in part 3

0.08x+16 = 0.12x

16 = 0.12x-0.08x

16 = 0.04x

0.04x = 16

x = 16/0.04

x = 400

If Cecily wrote 400 checks per month, then the cost of each account would be the same.

For account A, it would cost her 0.08*x+16 = 0.08*400+16 = 48 dollars

For account B, it would cost her 0.12*x = 0.12*400 = 48 dollars.

Answer: 400 checks per month


Related Questions

As an estimation we are told €4 is $5. What is the conversion rate from € to $? Give your answer rounded to 2 DP.

Answers

Answer:

$1.25/€

Step-by-step explanation:

€4 = $5

Divide both sides by €4.

€4/€4 = $5/€4

1 = $5/€4 = $1.25/€

Since $1.25/€ is equal to one, multiplying a number of euros by it will not change the value of the number. It will convert it from euros to dollars.

Answer: $1.25/€

What’s 3/8 OF 5 as a mixed number

Answers

Answer:

Step-by-step explanation:

2 3;8

Answer:

1 7/8.

Step-by-step explanation:

5 * 3/8

= 15/8

= 1 7/8.

Please answer this correctly fast!! What type of triangle is this?
Options:
- SSS
- SAS
- ASA
- AAS
- HL
- Not Possible

Answers

Answer:

Not possible

Step-by-step explanation:

These triangles are not congruent

What is the area of the triangle? Make me brainlest pleas

Answers

Answer:

i looked it up

Step-by-step explanation:

The manufacturer of official NFL footballs uses a machine to inflate its new balls to a pressure of 13.5 pounds. When the machine is properly calibrated , the mean inflation pressure is 13.5 pounds, but uncontrollable factors cause the pressures of individual footballs to vary randomly from 13.3 to 13.7 pounds. For quality control purposes, the manufacturer wishes to estimate the mean inflation pressure to within 0.025 pound of its true value with a 99% confidence interval. What sample size should be used

Answers

Answer:

106

Step-by-step explanation:

Given that:

Mean (m) = 13.5 pounds

Error margin = 0.025

α = 99%

Variation interval = range = 13.3 to 13.7

Standard deviation (σ) estimate from range :

Range / 4

(13.7 - 13.3) /4

= 0.4 / 4

= 0.1

Zcritical at 99% = 2.576

Using the formula :

Sample size (n) = [ (Zcritical * σ) / M. E]^2

n = [(2.576 * 0.1) / 0.025]^2

n = (0.2576 / 0.025)

n = 10.304^2

n = 106.172

n = 107 samples

16y5+4y5-12y3+15y3?
What is the simplified form?

Answers

Answer:

[tex]20y^5+3y^3[/tex]

Step-by-step explanation:

[tex]16y^5 + 4y^5 -12y^3 + 15y^3[/tex]

All we can do here is combine like terms (add those that have the same the same exponent)

[tex]20y^5+3y^3[/tex]

Good luck!

Answer:

[tex]20y^{5} +3y^{3}[/tex]

Step-by-step explanation:

[tex]16y^{5} +4y^{5} =20y^{5}[/tex] and [tex]-12y^{3} +15y^{3} =3y^{3}[/tex]

So [tex]20y^{5} +3y^{3}[/tex]

Translate into a variable expression.
18 added to Z

Answers

Answer:

z + 18 or z+18

if you want i can even put it in word form.

Answer:

zjsjsjwjs1 balducci howbto

Step-by-step explanation:

hendrickson

3. (03.01 LC) The domain of the following relation: R: {(-4, 8), (8, 10), (5, 4), (1, 6), (5, -9)} is (1 point) {8, 10, 4, 6, -9) {-4, 1, 5, 8) O {-4, 8, 5, 1, 5} No domain exists​

Answers

Answer:

{-4, 1, 5, 8}

Step-by-step explanation:

The domain of a relation are all of the inputs (or x-values) of it.

Identify the x-values shown.

{(-4, 8), (8, 10), (5, 4), (1, 6), (5, -9)}

{-4, 1, 5, 8} is the domain of the relation.

Hope this helps.

What is 3/8 divided by 4/1

Answers

3/32 hope this helps ig

Find those ^^^^^^^^^^^^^^

Answers

Answer:

m<G=60 degrees.

equilateral or equiangularTriangle

Step-by-step explanation:

triangle is 180 degrees

all these angles are congruent

means they all equal the same

180/3=60

60 degrees because 180 divided by 3

A soccer team sells three items for a fundraiser. The table shows the total sales for the items.

The team gets to keep $1 for every $10 in total sales.



Item Total Sales

Hats $196

T-shirts $504

Sweatshirts $420


Part A

If t is the total sales and k is the amount of money the team gets to keep,

which equations can be used to find the amount the team gets to keep?

Choose all that apply.

A. t ÷ 10 = k

B. k ÷ t = 10

C. 10 × t = k

D. t = 10 × (196 + 504 + 420)

E. 196 + 504 + 420 = t

Part B

How much money does the team get to keep? Enter your answer in the box.

Answers

yeah 420 i think hope this helps

Simplify this problem :

2 5/8 - 1 1/3

Answers

Answer:

-1 1/24

Step-by-step explanation:

Answer:

31/24 is the simplified answer

Step-by-step explanation:

True or False: Receipts are a way to document or keep track of your expenses.

Answers

Answer:

True

Step-by-step explanation:

I hope this is correct and have a great day

Answer:

True

Step-by-step explanation:

People save receipts to keep track of their previous purchases and expenses.

I hope this helps

A garden shop always sells the same number of plants per box. If there are 70 plants in 2 boxes, how many plants would be in 5 boxes?

Answers

Answer:

175

Step-by-step explanation:

First figure out how many plants are in each box.

70 / 2 = 35

Then use this to find the number of plants in each box.

35 x 5 = 175

Help me with this I need help

Answers

23.3
Can I get a brainlist

A repair man charges $75.00 to come to the house as a service fee. The repairman charges $150 dollars per hour. Which equation best represents the total cost, c, of the repairs?


A. c = 150f + 2.75

B. c = 150-75f

C. c = 150f + 75

D. c = 225f

Answers

the answer would be C

mark me brainliest

Solve for the value of f: ½(6 + 4) + 5f = 10

Answers

Answer:

Start by combing any like variable and distributing the values.5+5f=10 5f=5f=1

24 coloring books,60 crayons, and 84 markers can be packaged into at most how many Identical packages? How many will each package contain?

Answers

Answer:

there can be 12 identical packages at most. each package will contain:

- 2 coloring books

- 5 crayons

- 7 markers

Step-by-step explanation:

Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1
Axis of symmetry: x = -0.5; Vertex: (-0.5, -0.75); f(x) = x2 - x + 1
Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = -x2 + x
Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + 2x + 1

Answers

Graph of the question is missing so I have attached it

Answer:

Option A: Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1

Step-by-step explanation:

1) The axis of symmetry of quadratic graph is the vertical line that divides the graph curve into two congruent halves. In this case, it is: x = -0.5

2) Vertex is the point at which the graph curve changes direction or simply coordinates of the crest or trough of the curve.

The graph given has a trough with the coordinates: x = -0.5, y = 0.75. This is (-0.5, 0.75)

3) The roots of a quadratic equation are the points where the curve crosses the x-axis. In this case, it doesn't cross and so we have imaginary roots.

Now, formula for line of symmetry is; x = -b/2a

Thus; -b/2a = -0.5 or -b/2a = -1/2

Thus, b = 1 and a = 1

Our first and second terms will now be;

x² + x

Looking at the options, the only one with x² + x as it's first 2 terms is option A.

Thus, the complete equation will be x² + x + 1

2x+y=42
8x+7y=36
Using the process of eliminations.

Answers

Answer:

x=43,y=-44

Step-by-step explanation:

hey i hope it helps you

2x+y=42(7)

8x+7y=36(1)

14x+7y=294

8x+7y=36

6x=258

divide both sides by 6

x=43

to get y

2x+y=42

equate x=43

8(43)+7y=36

344+7y=36

344-36=7y

308=7y

divide both sides by 7

y=-44



A rectangular monitor's size is measured diagonally from 1 comer to the opposite comer. What is the size of a rectangular monitor that is 30 centimeters wide by 24 centimeters high,
nearest

Answers

Answer:

somewhere around 38-44

Step-by-step explanation:

i would like brainliest plz, i know bad answer

Answer:

How do you solve it?

Step-by-step explanation:

Given that 1 inch = 2.54 cm, how many centimeters are there in 5 feet?

Answers

Answer: 152.4 cm

Step-by-step explanation:

Which is equivalent to (x+3)(x-5)

Answers

Answer:

x^2 -2x -15

Step-by-step explanation:

by multiplying the 2 brackets

x^2

-5x + 3x = -2x

3 * -5= -15

A school is selling t-shirts and hoodies to raise money. Cara bought a t-shirt and 2 hoodies for $60. Jack bought 3 t-shirts and one hoodie for $60. How much is one t-shirt and one hoodie?

Answers

One t-shirt is 12$ and one hoodie is 24$

Jared bakes 2 apple pies. He cuts the two pies into pieces. Each piece is 1/8 of a pie. Enter the number of pie Jared cuts.

Answers

Answer:

16 pieces

Step-by-step explanation:

Please give me brainliest

this is so emaruballos can be marked brainliest and yes the answer is 16

ILL GIVE BRAINLEST ​

Answers

Answer:

the 4th one

Step-by-step explanation:

Answer:

147/2

Step-by-step explanation:

Hi! y=k/x

y=21/4 and x=14 so k=147/2

Please mark brainliest and let me know if you have any more questions!

SHOW
YOUR
WORK!!
X -
-67 V6 ²-4ac
2a
The
equation d = n²-12n + 43
models the number of defective
items a produced in a manufacturing process where there are
workers in a restricted
area
a) solve for
n
When
d=30
INTL
DLL

Answers

Answer:

1.20, 10.8

Step-by-step explanation:

d = n^2 - 12n + 43

d = 30

30 = n^2 - 12n + 43

0 = n^2 - 12n + 13

now solve for n using quadratic formula:

a=1, b=-12, c=13

n = (-b +- sqrt( b^2 -4ac))/2a

two answers ( one for + the square root, one for - the square root)

n = 1.20, n = 10.8

please help me step by step ​

Answers

Answer:

should be just be like doubling everytime

Step-by-step explanation:

6 water and 4 powder

12 water 8 powder

18 water 12 powder

it's the same ratio so it should taste the same, like 3 water and 2 powder is going to taste the same as 18 water and 12 powder

83, 15, 50, 28, 52, 96 - What is the mean? What is the mode? What is the median?

Answers

Answer: mean-54     mode-1     median-50

Step-by-step explanation:

what is the percent of change from 300,000 to 30,000 its 90​

Answers

Answer:

-90%

Step-by-step explanation:

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