Simon lost his library card and has an overdue library book. When the book was 5 days late, he owed $2.25 to replace his library card and pay the fine for the overdue book. When the book was 21 days late, he owed $6.25 to replace his library card and pay the fine for the overdue book. Suppose the total amount Simon owes when the book is n days late can be determined by an arithmetic sequence. Determine a formula for an, the nth term of this sequence. Use the formula to determine the amount of money, in dollars, Simon needs to pay when the book is 60 days late.

Answers

Answer 1

Answer:

[tex](a)\ y = 0.25n +1[/tex]

[tex](b)\ \$16[/tex]

Step-by-step explanation:

Given

[tex]n \to days[/tex]

[tex]y \to amount[/tex]

[tex](n_1,y_1) = (5,2.25)[/tex]

[tex](n_2,y_2) = (21,6.25)[/tex]

Solving (a): Formula that represents the scenario.

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{n_2 -n_1}[/tex]

[tex]m = \frac{6.25-2.25}{21-5}[/tex]

[tex]m = \frac{4}{16}[/tex]

[tex]m = 0.25[/tex]

The equation is calculated using:

[tex]y = m(n - n_1) + y_1[/tex]

This gives:

[tex]y = 0.25(n - 5) + 2.25[/tex]

[tex]y = 0.25n - 1.25 + 2.25[/tex]

[tex]y = 0.25n +1[/tex]

Solving (b): Amount after 60 days late.

This means that:

[tex]n = 60[/tex]

So:

[tex]y = 0.25 * 60 + 1[/tex]

[tex]y = 15 + 1[/tex]

[tex]y = 16[/tex]


Related Questions

A cone has a radius of 2 centimeters and a height that is 24 cm. Using 3.14 for pi, which of the following can
be used to calculate the volume of the cone?

Answers

Answer:

option 3

Step-by-step explanation:

[tex]volume = \frac{1}{3} \pi r^2 h = \frac{1}{3} \times 3.14 \times 2^2 \times 24[/tex]

Un zapatero desea empacar en cajas rectangulares los zapatos que producen estima que el volumen de cada par de zapatos es de 600 cm 3. La caja que le ofrecen mide 29cm de largo 16 de ancho le conviene o no comparar ese tipo de caja justificó mi respuesta

Answers

Answer:

4/11 since -5/9 between 4/11 is equal to -55/36

step by step explanation:

45 + 66 + 130 = 3747

44 + 43 + 452

3638-5362

233 reply

I don't think this is right But

Step-by-step explanation:

Mark me brainliest and u shall get our answer

A company that makes robotic vacuums claims their newest model of vacuum lasts, on average, two hours when starting on a full charge. To investigate this claim, a consumer group purchases a random sample of five vacuums of this model. They charge each unit fully and then measure the amount of time each unit runs. Here are the data (in hours): 2.2, 1.85, 2.15, 1.95, and 1.90. They would like to know if the data provide convincing evidence that the true mean run time differs from two hours. What are the appropriate hypotheses?

H0: μ = 2 versus Ha: μ < 2, where μ = the true mean run time for all vacuums of this model
H0: μ = 2 versus Ha: μ > 2, where μ = the true mean run time for all vacuums of this model
H0: μ = 2 versus Ha: μ ≠ 2, where μ = the true mean run time for all vacuums of this model
H0: μ ≠ 2 versus Ha: μ = 2, where μ = the true mean run time for all vacuums of this model

Answers

Answer:

The answer is C. H0: μ = 2 versus Ha: μ ≠ 2, where μ = the true mean run time for all vacuums of this model

Step-by-step explanation:

EDGE 2021

Find the area of the combined rectangles. Please help me

Answers

Answer:

8: 190 yd , 9: 30 m, 10: 92 ft

Step-by-step explanation:

for 8, you can spit it up pretty simply. find 10x18 which is 180 and then 5x2 which is 10 so 8 is 190.

for 9, 2x8=18 for the top portion and for the sides 3x2=6, so twelve. Combined its 30m.

for 10, 10x8=80, then 6x2=12. so 92 ft combined.

Find the Value of X. Thanks.

Answers

Answer:

x = 90

Step-by-step explanation:

This will add up to 360 degrees in total

90 + 90 + 90 + 90 = 360 therefore x = 90 Hope that helps!

Can I get a answer for all of it?

Answers

Answer:

R'=(-3,6)

Q'=(-3,-3)

S'=(7,6)

T'=(7,-3)

Answer:

see explanation

Step-by-step explanation:

A translation of 7 units right means adding 7 to the x- coordinate. The y- coordinate remains unchanged, then

Q (- 10, - 3 ) → Q' (- 10 + 7, - 3 ) → Q' (- 3, - 3 )

R (- 10, 6 ) → R' (- 10 + 7, 6 ) → R' (- 3, 6 )

S (0, 6 ) → S' (0 + 7, 6 ) → S' (7, 6 )

T (0, - 3 ) → T' (0 + 7, - 3 ) → T' (7, - 3 )

Maya owns a house valued at $432,600. She still owes $233,458 on her mortgage. How much equity does she have in the house? (3 points)

Answers

Answer:

$199,142

Step-by-step explanation:

Given that

The value of the house i.e. assets is $432,600

The mortgage i.e. liability is $233,458

We need to find out the equity

As we know that

The accounting equation is

Total assets = Total liabilities + total equity

$432,600 = $233,458 + total equity

So, the total equity is

= $432,600 - $233,458

= $199,142

Answer:

No, she is not correct. She has only $30,000 in home equity. Equity is the value of ownership in an asset minus any debts owed on it. $315,000 minus $285,000 is $30,000.

Step-by-step explanation:

Took it straight from EDG 2022

Find the measure of the missing angle.

Answer: a= ______

(NO FILES) IF YOU ANSWER YOU WILL BE MARKED BRAINLIEST :)

Answers

Answer:

a= 32

Step-by-step explanation:

Since "a" is a part of a supplementary angle (An angle that adds up to 180º)

What you would need to do is add 58º and 90º (90º because the right angle = 90)

so 58+90 = 148

Then you would subtract 148 from the total of the angle (Which is 180)

so 180 - 148 = 32, And that shows that a = 32

(P.S. THE BOTS THAT POST THE LINKS TO THE FILES ARE POSTING MALWARE AND VIRUSES, DO NOT DOWNLOAD ANYTHING FROM THEM THEY ARE VIRUSES. IF YOU HAVE DOWNLOADED ANYTHING, GET A RELIABLE ANTIVIRUS SOFTWARE AND SCAN YOUR COMPUTER)

5 (x + 8) = -10 what's the answer ​

Answers

Answer:

x = - 10

Step-by-step explanation:

5(x + 8) = - 10

5x + 40 = - 10

5x + 40 - 40 = - 10 - 40

5x = - 50

5x ÷ 5 = - 50 ÷ 5

x = - 10

Select the correct answer. Which of the following best describes physical science? Ο Α. the study of motion OB. the study of matter and energy O c. the study of Earth's structure and processes OD the study of reactions Ο Ε. the study of living things​

Answers

Answer: Its Easily B The Question Is Easy

Answer:

Option B

Step-by-step explanation:

PLATO.

Select the correct answer.
Which inequality can this number line represent?
PLEASE HELP!!!!

Answers

Answer:

A, because x>3 or x<-4

Answer: D is the answer.

-4 < x < 3

Step-by-step explanation:

5x-2>-22 and 6x - 7 < 11

5x > -20 and 6x < 18

x > -4 and x < 3

Rearrange: -4 < x < 3 answer choice D

solve the equation 5= w + 1 1/2
PLS I NEED HELP

a
3
b
3.5
c
4
d
4.5

Answers

Solve for w by simplifying both sides of the equation, then isolating the variable.

Exact Form: w = 7 2 w = 7 2

Decimal Form: w = 3.5 w = 3.5

Mixed Number Form: w = 3

final answer: choice B
Answer:

b. 3.5

Step-by-step explanation:

The choices are:  

a. 3

b. 3.5

c. 4

d. 4.5

The equation is 5 = w + [tex]1\frac{1}{2}[/tex]

5 - [tex]1\frac{1}{2}[/tex] = [tex]3\frac{1}{2}[/tex]

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

[tex]3\frac{1}{2}[/tex] converted into a decimal equals 3.5

So the correct answer is b. 3.5

Hope this helps!-Finny

Can someone help me out with my math homework my grades are bad

Answers

Answer:

In first box, it’s 5

and then it’s 6/10

Step-by-step explanation:

KaVaugn wants to solve the following system using the elimination method:

y = x − 6
y = -4x − 19

What number should the equation y = x − 6 be multiplied by to eliminate x? (4 points)

a
1

b
2

c
4

d
−6

Answers

I believe that the answer is C

Answer:

d.-6

Step-by-step explanation:

sana makatulong

Please help with these questions. Write answer for 19 and 20 thank you

Answers

Answer: It let me add an answer!! For number 19. The answer is y > 3x - 3. And for number 20. The answer is y is less than or equal to 1/2x + 1

Have a nice day! :)

I need help with this please it’s?

Answers

Answer:

the answer to the question is C

Drag the green point on the tape diagram to model a discount of 27%.

If the discount is 27%, then what percent of the original price do you pay?

Answers

Answer:

73%

Step-by-step explanation:

Let us have the original price as $100

A discount of 27% will be;

27/100 * 100 = $27

so, the value to be paid will be $100 - $27 = $73

Now, what percentage of $100 is the $73 that was paid

that would be;

73/100 * 100% = 73%

Does anyone know how to find the volume of a cylinder?​

Answers

Answer:

V=πr2h

you could've searched this up but i hope this helps anyway


Monique's swimming pool filter needs repair. She calls two companies for prices. The
Pool Boyz charge $70 for a service call and $40/h for labour. Kemikal Balance charge
$50 for a service call and $45/h for labour.
a) Write a linear equation for each company.
b) Find the solution to this linear system

Answers

A) y = 70 + 40x, y = 50 + 45x

the first number is the initial service call charge, and the second number/slope is the rate per hour of the company, where x is the number of hours worked

B) x = 4

Since both equations are solved for y, you can set them equal to each other to get
70 + 40x = 50 + 45x

Solve for x to get x = 4.

Find the measure of angle 1, 3, and 4.

Answers

Answer:

1) 60

3) 120

4) 60

Step-by-step explanation:

Angle 1 is supplementary to your known angle. Therefor, Angle 1 is 180 - 120

Angle 3 is supplementary to Angle 1 and equal to 120

Angle 4 is supplementary to Angle 3 and equal to angle 1.

What is the value of x?
O 103
10
10
X
O 513
o 5
60°
2
3
4
5
6
7
8
9
10 11

Answers

Answer:

[tex]5\sqrt{3}[/tex]

Step-by-step explanation:

A triangle with angles of 30-60-90 will always have sides that measure in the following proportions:

The side opposite the 30* angle = a

The side opposite the 60* angle = [tex]a\sqrt{3}[/tex]

The side opposite the 90* angle = 2a

(I used "a" here because your question uses "x" and I don't want to confuse things, but usually people use "x" rather than "a")

They gave us that the hypotenuse (the side opposite the 90* angle) is 10, from there we can figure out the other sides:

Since the side opposite 90* is 2a, and 2a = 10, divide 10 by 2 and you get a = 5.

Once we know what "a" is, we can fill in the rest:

30* = 5

60* = [tex]5\sqrt{3}[/tex]

90* = 10

A college entrance exam has a mean of 500. A small liberal arts college has two years of applications, each with 100 prospective students. The college conducts hypothesis tests to determine whether its applicants are significantly better than the general population of applicants. The first year of applicants has a mean of 510, whereas the second year of applicants has a mean of 505. Which sample will produce the largest probability value

Answers

Answer:

cjxbdjd xkdnkdkdns xkdnskzkns xkdnd d d d d d d d. d d dd d d d d. d d d d d d d d d d dd. d d

A tire has a circumference of 69.1 inches. To the nearest inch, which is the diameter
of the tire?

Answers

Answer:

22 inches

Step-by-step explanation:

so to find the diameter you divide the circumference by pi(3.14)

69.1÷3.14=22.006

now rounding that you get 22

I need help on this question

Answers

Answer:

well first figure out the area of the parallelograms and divide the full area by the area of the pieces.

Step-by-step explanation:

What are the coordinates for
y = 3x + 5
y= -2x + 20

Answers

y = 3x + 5
(0,5) (1,8)

y = -2x + 20
(0,20) (1,18)

x=16

y=-12

Hope this helped :T

if u subtract 12 from a number and multiply the result by 12 you get 18. what is the number​

Answers

Answer:

27/2 is the value of the number.

Let the number be x.

According to the question,

12(x-12)=18

x-12=18/12

x-12=3/2

x=3/2+12

x=3/2+24/2

x=27/2

HOPE IT HELP :)

Answer:

13.5    27/2      13 (1/2)   all the same

Step-by-step explanation:

(x-12)x12  = 18

12x-144 = 18

12x = 162

x = 162/12 = 27/2  = 13(1/2) = 13.5

which statement is the best example of the chemical weathering of water

Answers

Limestone rocks dissolving in water. All other options are forms of physical weathering.
Limestone rocks dissolving in water. All other options are forms of physical weathering.

Sweet onions are on sale for $0.79 per pound. If an onion weighs 8 oz, how much does it cost to buy 5 onions?

Answers

The answer is 3.95
I just times 79 x 5

Answer:

a pound is 16 oz. so 2 onions are a pound. meaning 5 onions equal 2 1/2 pounds.

2.5 × 0.79 = $1.975 (about $1.98)

HELP IM BEING TIMEDDD THANK YOU

Answers

Answer: A and C!

yw :DD\

50.26 to nearest hundredth

Answers

Answer:

it's already in the hundredths place

Step-by-step explanation:

.1 <- tens place

.01<- hundredths place

.001<-thousands place

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