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?​

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

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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

What’s 3/8 OF 5 as a mixed number

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.

please help me step by step ​

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

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

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

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.

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

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

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

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

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

Simplify this problem :

2 5/8 - 1 1/3

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

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

Translate into a variable expression.
18 added to Z

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?

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

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

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​

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

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

ILL GIVE BRAINLEST ​

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?

What is 3/8 divided by 4/1

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

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

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