Noelle and Micah went to the bank to open new checking accounts. The equation C=0.2n+1.20 represents the monthly cost, C, in dollars, where n is the number of checks written by Noelle. In Micah's account, the monthly cost is proportional to the number of checks written. The monthly cost for Micah's account is $1.20 for writing 3 checks. How many checks must Noelle and Micah write, if any, so that the cost of the accounts is the same for one month? What is the cost, if any?

Answers

Answer 1

Answer:

C = $2.40

n = 6

Step-by-step explanation:

For Noelle,

Equation that represents the monthly cost 'C',

C = 0.2n + 1.20

Here, n = number of checks written in a month

For Micah,

Monthly cost for writing checks 'C' = $1.20

Number of checks 'n' = 3

Since, Cost of writing checks ∝ Number of checks written

C' ∝ n

C' = kn

k = [tex]\frac{C'}{n}[/tex]

Here, k = proportionality constant

For C' = 1.2 and n = 3

k = [tex]\frac{1.2}{3}[/tex]

k = 0.4

Equation will be,

C' = 0.4n

For any month C = C'

Therefore, 0.2n + 1.20 = 0.4n

0.4n - 0.2n = 1.20

0.2n = 1.20

n = 6

Number of checks written by Noelle and Micah = 6

For n = 6,

C = 0.2(6) + 1.20

C = $2.40

Cost of writing checks = $2.40


Related Questions

Find the value of y.
Question 18 options:

A)

9.850

B)

18.610

C)

65.825

D)

124.365

Answers

Answer:

[tex]\Huge\boxed{B.18.610}[/tex]

Step-by-step explanation:

Hello There!

We can find y by using trigonometric ratios

sine, cosine and tangent

[tex]tan= \frac{opposite}{adjacent}[/tex]

the opposite of the angle that has a measure of 28 degrees is y and the side that is adjacent to the angle is 35

so...

[tex]tan28=\frac{y}{35}[/tex]

now we solve for  y using basic algebra

we want to isolate the variable (y) using inverse operations

to get rid of the 35 we multiply each side by 35

[tex]\frac{y}{35} =y\\tan28*35=35tan28[/tex]

now we let the calculator do the rest of the work

[tex]35tan(28)=18.60983011[/tex]

*round to the nearest thousandth*

we're left with

y = 18.610

hence your answer is B

What is 6 - 8? Please provide answers with the - sign.

PLEASE HELP ME!

Answers

Answer: -2

Step-by-step explanation: 6-6=0, and 0-2= -2, so that is how i got my answer

Answer:

-2

Step-by-step explanation:

6 - 8 = -2

please mark as brainliest

what is 83,310.5 millimeters as centimeters? please answer 6th grade math

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Answer:

8.3 centimeters

Step-by-step explanation:

Answer:

8331.05

Step-by-step explanation:

i hope this helps :)

homies can one of yalls do this im confused

Answers

Answer:

ΔWUV⁓ΔSRT

Step-by-step explanation:

∠W⁓∠S

∠U⁓∠R

Find the cube roots of unity in standard form (a+bi). Use exact values.

Answers

Every non-zero complex number has three cube roots. In general, any non-integer exponent, like  

1

3

here, gives rise to multiple values. The way we find them is by multiplying  

z

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1

using Euler's Identity to the  

2

k

power for integer  

k

. That's

Write in standard form:
the quotient of 29 and r


1. 29r
2. 29 divided by r
3. 29 - r

Answers

Answer:

2

Step-by-step explanation:

quotient of two numbers means that you divide those two numbers.

Answer:

2. 29 divided by r

Step-by-step explanation:

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What is the proportion for x

Answers

12x15=18(3x+4)
180=54x+72
-72 -72
108=54x
/54 /54
2=x

X=2 the other person is a d0uche for answering like that so I answered instead of them

URGENT Find the area of the shaded sector. Round to the nearest tenth.

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Answers

Answer:4.7

Step-by-step explanation:



4x + 3 Y = 11


Me podrían ayudar por favor a resolverla

Answers

Answer:

x = 2

y = 1

Step-by-step explanation:

4 x 2 = 8

3 x 1 = 3

8 + 3 = 11

So therefore

x = 2

y = 1

Have a nice day :)

Spanish:

Responder:

x = 2

y = 1

Explicación paso a paso:

4 x 2 = 8

3 x 1 = 3

8 + 3 = 11

Asi que, por lo tanto

x = 2

y = 1

Que tenga un buen día :)

Find x (the answer is a decimal) Picture posted below.

Answers

Answer:

x = 37.5

hope that helps

Keenan bought 9 books about plants and 6 books about fish. He also bought 8 science magazines. Each book cost $20 and each magazine cost $3. How much did Keenan spend in all?

Answers

Answer:

$324

Step-by-step explanation:

Cost per books = $20

Book cost = $20 * (9 + 6) = 20 * 15 = $300

Cost per magazine = $3

Number of magazines = 8

Magazone cost = 8 * $3 = 24

Total cost = $300 + $24

= $324

90% of the stores at a shopping mall sell clothing. If 63 of the stores sell clothing, how many total stores are at the mall? ​

Answers

There are 70 stores in the mall.
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PLEASE HELP!!!!!

find the area of the polygon.

Answers

Answer:

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Answer:

208 cm²

Step-by-step explanation:

14 cm × 16 cm = 224 cm²

14 cm - 6 cm = 8 cm

8 cm × 2 cm = 16 cm²

224 cm² - 16 cm² = 208 cm²

Someone please help me on this please

Answers

Constant of proportionality k=y/x
k=14/4=3.5
k=17.5/5=3.5
k=21/6=3.5
k=24.5/7=3.5
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A telecommunications company in a small town had 450 phone subscribers before they introduced a plan for newly joining members. The company recorded an approximate 50% increase each month in the number of new phone subscribers, where they had one new subscriber at the start of the plan. The number of phone subscribers x months after the plan was launched is modeled by the function below.

Answers

Answer:

450 x (1 + 0.5) ^ X = Phone subscribers

Step-by-step explanation:

Since a telecommunications company in a small town had 450 phone subscribers before they introduced a plan for newly joining members, and the company recorded an approximate 50% increase each month in the number of new phone subscribers, where they had one new subscriber at the start of the plan, to determine the number of phone subscribers x months after the plan was launched, the following function must be considered and solved:

450 x (1 + 0.5) ^ X = Phone subscribers

So, for example, in 3 months, the number of subscribers would be the following:

450 x (1 + 0.5) ^ 3 = 1,518.75

Thus, in 3 months, the company would have 1,518 subscribers.

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She receives 65 rewards points just for signing up.
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Answers

Answer: she needs to go 12 times

Step-by-step explanation:

Answer:

*12=3x+4m-3x2.......THE ANSWER IS 10

Step-by-step explanation:

divide 12 by 3

add that answer by 4

subract that by 3

then multiply it by 2

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Your Welcome

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Answers

Answer:

n=5

Step-by-step explanation:

50 divided by 10 = 5

Answer:

n=5

Step-by-step explanation:

To figure out n we must divide 50 and 10.

50 ÷ 10 = 5

So n=5

Help please someone please give me the correct answer
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Answers

Answer:

Angle X and W are vertical

Step-by-step explanation:

It's wrong statement

Which equation can be simplified to find the inverse of y = 2x²?
O1/y=2x²
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O-y= 2x²
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Answers

Answer:

y=1/2x²

Step-by-step explanation:

y=2x-²

y=1/2x²

The equation can be simplified to find the inverse of y = 2x² is y=1/2x², the correct option is B.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

Equation y = 2x²

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To find the inverse of a function, you need to swap the x and y variables and solve for y. So, the equation that can be simplified to find the inverse of y = 2x² is x = 2y². You can simplify it by dividing both sides by 2 and taking the square root of both sides. The inverse function is y = ±√(x/2).

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Answers

Answer:

answer is 5 i cant show work in brainly because of the fractions

Step-by-step explanation:

Answer:

3 and 1/3 divided by 2/3=

10/3 divided by 2/3=

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5

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Step-by-step explanation:

hope this helps        :)

Which pair of equations below is a result of constructing the altitude, h, in Triangle ABC?


sinA= h/c

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sinA= h/c

sinB= b/c


sinA= b/c

sinC= b/a


sinA= h/a

sinB= b/a


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Answers

Answer:

a

Step-by-step explanation:

Bc i just did on edge

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So from the attached figure;

sin C = h/a

sin A = h/c

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h = c (sin A)

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35

Step-by-step explanation:

PLEASE HELO ME AND EXPLAIN PLEASE. AND PLEASE SHOW IN STEPS!! i will mark brainliest if you get it correct!

Answers

Step-by-step explanation:

The height of the swipe card is given by :

[tex]h(t)=-3t^2+15t+18[/tex] .....(1)

We need to find the maximum height of the swipe card and the time to reach the maximum height.

For maximum height, put dh/dt = 0

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[tex]\dfrac{d}{dt}(-3t^2+15t+18)=0\\\\-9t+15=0\\\\t=\dfrac{15}{9}\\\\t=1.67\ s[/tex]

It will take 1.67 seconds to reach the maximum height.

Now, put t = 1.67 s in equation (1).

[tex]h(1.67)=-3(1.67)^2+15(1.67)+18\\\\=34.68\ feet[/tex]

Hence, the maximum height of the swipe card is 34.68 feet and the time to reach this height is 1.67 s.

rentwood and Sun City are 51 miles away from each other. How far away would the cities be on a map that has a scale of 3 inches:17 miles?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

Answer:

Step-by-step explanation:

51mi(3in/17mi)=9in

-1/2 x 1/3 ANSWER PLEASE!!'

Answers

Answer:

-1/6

Step-by-step explanation:

-1

6

-1*1= -1

2*3= 6

Carlos purchased a bouquet of 20 flowers. In the bouquet, 25% are roses, 40% are daisies, and the rest are carnations. How many carnations are in the bouquet Carlos purchased? PLEASE HURRY

Answers

Answer: 7

Step-by-step explanation: 35% of 20 = 7

I hope you do good on your test :)

Answer:

7

Step-by-step explanation:

addd lol

Pythagorean therom HELPPPO PLEASE

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Answer:

74 ft

Step-by-step explanation:

plz give brainlyest

Answer:

c=a2+b2=102+102≈14.14214

Step-by-step explanation:

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The area of a trapezoid is 60 square feet the bases of the trapezoid are 8 feet and 12 feet, what is the height?
6ft
4ft
3ft
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Answers

It is 6 feet. I hope this helps a little.

Help me on this please, giving more points than usual for this.

Answers

Answer:

the angle is = 50

Step-by-step explanation:

8x+2+70+60=180° (interior angles of a triangle add up to 180°)

8x+132=180

8x=180-132

8x=48

divide with the coefficient of x both sides

x=6

substitute

(8(6)+2)+70+60=180

50+70+60=180

180=180

Hunter is 48 inches tall. How many feet tall is Hunter?

Answers

4 feet

Step-by-step explanation:

there's 12 inches in a foot. so 48÷12= 4 feet

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