You borrow $450 from a friend the first week and pay the friend back $10 each week thereafter. Write the first six terms in the sequence Explain what the sixth term means in the context of the situation
Write the first six terms in the sequence. Explain what the sixth term means in the context of the situation.

Answers

Answer 1

Using an arithmetic sequence, we have that:

The first six terms of the sequence are: 450, 440, 430, 420, 410 and 400.The 6th term of 400 means that after 6 weeks, the amount you owe your friend is of $400.

What is an arithmetic sequence?

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem, we have that:

On the first week, you owe the friend $450, hence the first term is [tex]a_1 = 450[/tex].Each week, you pay back $10, hence the amount you owe is reduced by 10, and the common difference is of d = 10.

Hence, considering the common difference, each term is the previous term subtracted by 10, and:

The first six terms of the sequence are: 450, 440, 430, 420, 410 and 400.The 6th term of 400 means that after 6 weeks, the amount you owe your friend is of $400.

More can be learned about arithmetic sequences at https://brainly.com/question/6561461

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Please help! I’ll give brianliest to the correct answer!

Answers

Answer:

y = 1.5x + 9  

(y = height; x = number of cups)

Step-by-step explanation:

let x = number of cups

let y = height of the stack

the first cup will add 9 to the height (7.5 + 1.5)

so 9 is the y-intercept

for each additional cup, 1.5 will be added

so y = 1.5x + 9

Solve:

e + 13.2 = 289.47

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Answer:

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Help !! Multiply: 2w(w+17)

Answers

Answer:

2w^2 + 34w

Step-by-step explanation:

2w(w+17)

Multiply the 2w by each term in the parentheses

2w*w + 2w*17

2w^2 + 34w

find the measure of each angle plz do 15 and 16

Answers

Answer:

15) 55°

16) 90°

Step-by-step explanation:

15)

55° + 75° + x = 180°

x = 50°

___

50° + 60° + x = 180°

x = 70°

__

70° + 55° + ? = 180°

? = 55°

______________________________

16)

55° + 90° + x = 180°

x = 35°

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? = 90°

Planes T and X are parallel. Plane T contains like a. plane x contains line b

Answers

Answer:

c lines

Step-by-step explanation:

Select all the statements that best describe the graph below.

Answers

Answer:

the independant variable is x

The Correct choices are :

dependent variable is y

rate of change is constant

this is a negative relationship

the independent variable is x

the relationship is linear

b. Create an equation and sketch a graph that:
• has a minimum,
• is discrete, and
• is a linear absolute value function.

Answers

Answer:

Step-by-step explanation:

Yes.

Answer:

is a linear absolute value function

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Answers

Answer:

x ≥ 0Hope this helped :)

what set of ordered pairs in the form of (x,y) does not represent a function of x

Answers

Answer:

I believe it's option C

Step-by-step explanation:

A function is a relation that does not contain two pairs with same first component.

option C

{(-1,2),(3,-2),(0,1),(3,5)} is not a function, since there are two pairs with the same first component i.e, 3

hope it helps

mark me brainliest pls

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Answers

Answer:

x as -3 = y as 2

x as 0 = y as 3

x as 3 = y as 4

x as 6 = y as 5

Step-by-step explanation:

To answer what the output (y) is equal to, all you do is replace the x with whatever value you are trying to find the output to.

the ratio of a shorter walkway to a longer walkway is 3 to 5. the lenght of the sorter walkway is 45 meters. what is the lenght of the longer walkway

Answers

Answer:

75 m

Step-by-step explanation:

Let s- shorter walkway, l- longer walkway.

Given:

s/l = 3/5s = 45 m

Find the length of l:

45/l = 3/5l = 45*5/3l = 75 m

Answer:

[tex]\sf\longmapsto \: length = 75 \: metres[/tex]

Step-by-step explanation:

Now let's find out what's the length of the long walkway–

[tex]\sf\longmapsto \: \frac{3}{5} = \frac{45}{\: length\: of \:longer\: walkway} [/tex]

[tex]\sf\longmapsto \: \: length\: of \:longer\: walkway= \frac{45 \times \: 5 }{3} [/tex]

[tex]\sf\longmapsto \: length\: of \:longer\: walkway= 75 \: metres[/tex]

The length of the longer walkway is [tex]\sf\longmapsto \: length = 75 \: metres[/tex]

will give brainliest

Which expression is equal to 27√ ?

147√

27√49

27√7

727√

Answers

3/3 your welcome it’s the expression

numbers between 1/10 and 4/5?​

Answers

I believe your answer is 2/10,3/10,4/10,5/10,6/10,7/10.

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What would be the most common example of a curve with constant widith

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Answer:

a circle

Step-by-step explanation:

yeah-ya... right?

AGAIN LAST BUT NOT LEAST
This is for the smarty pants
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Answers

Answer:

Mr. Smarty Pants here

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B and C = 5

C and B = 5

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5,-6

5,8

12,1

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4

Which of the following shows the factors of the polynomial f (x) = x^3 -11x + 6 , if one of those factors is x - 3

a. x - 3 is not a factor and there are no correct answers
b. f(x) = (x -3) ( x^2 - 8x - 18)
c. f(x) = (x -3) ( x^2 + 3x - 2)
d. f(x) = (x -3) ( x^2 - 3x^2 - 2x+12)

Answers

Answer: f(x)=(x-3)(x^2+3x-2)

Step-by-step explanation:

You have a 20-ounce bottle of juice. You pour out 1/4 of the bottle to share with a friend. If you pour out 3 ounces for yourself, what fraction of the 20 ounces will be left in the bottle?

Answers

1/4 of 20 = 5
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Answers

Answer:

I'm not really sure but I think it's 2

Step-by-step explanation:

So here's what I did;

x³+3x-9=x - 1 +2x

x³+3x - x -2x = 9 - 1

x³= 8

x = ³√8

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I hope this helps

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Answers

Answer:

No

Step-by-step explanation:

Unit rate consists of at least one 1. the unit rate for this would be 1 slice for $1.25

please mark brainliest

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Answers

stanley ran farther then gary ran

Hey , May someone help me please and thanks<3

Answers

Answer:

[tex]1\frac{1}{5}[/tex]

Step-by-step explanation:

6-4 = 2

2 -  [tex]\frac{4}{5}[/tex]  = [tex]1\frac{1}{5}[/tex]

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Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{The DISTRIBUTIVE PROPERTY formula is}\downarrow\\\large\textsf{a(b + c)}\\\large\textsf{= a(b) + a(c)}\\\large\textsf{= ab + ac}[/tex]

[tex]\large\text{Now that we have the formula, we can solve for your question/answer.}[/tex]

[tex]\large\text{YOUR EQUATION: \underline{\underline{\textsf{-6(3x - 4)}}}}}\\\\\large\textsf{= -6(3x) - 6(-4)}\\\large\textsf{= -6(3x) + 6(4)}\\\large\textsf{= -18x + 24}\\\huge\boxed{\rm{Therefore, your\ answer\ is: \mathsf{-18x + 24}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

6
of a yard on the following play. How many more yards did the
5
One football player advances
8
of a yard on a play. Another football player advances
second player advance than the first player?
А
13
yards
56
B
C с
21
yards
1
yards
7
10
15 yards
D
MO 15
O
11:29

Answers

Answer:

Step-by-step explanation:

B=brackets

i= indices

D= division

M=multiplication

A= addition

S= subtraction

7x10000/5x100/6x1

7x10000=70000/500/6

70000/500=140/6= 23.33

Write an equation then solve It costs $4 to enter the fair. Each ride cost $2.50 You have $21.50 How many rides can you go on

Answers

Answer:

21.50-4-2.50*6

Step-by-step explanation:

you can get on 6 rides

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Answers

Answer:

10 miles

Step-by-step explanation:

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Answers

191520 grams is greater than 146640 grams by 44,880 grams

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Answers

Answer:

-8 4/15

Step-by-step explanation:

[tex]2\frac{1}{3} + 4\frac{2}{5} -15[/tex] [tex]\frac{7}{3} +\frac{22}{5} -15[/tex] [tex]\frac{35}{15} + \frac{66}{15} - 15[/tex] [tex]\frac{101}{15} - 15[/tex] [tex]6\frac{11}{15} - 15[/tex] [tex]\frac{-124}{15}[/tex] [tex]-8 \frac{4}{15}[/tex]

Solve for m < LMN.......

Answers

Answer:

m< LMN = 111°

Step-by-step explanation:

m< LMO + m<OMN = m< LMN

[tex]58 + 53 = 111[/tex]

Graph 1.7 on a number line

Answers

Answer:

Step-by-step explanation:

1.7 lies between 1 and 2.

Chloe works in a department store selling clothing. She makes a guaranteed salary of $250 per week, but is paid a commision on top of her base salary equal to 10% of her total sales for the week. How much would Chloe make in a week in which she made $975 in sales? How much would Chloe make in a week if she made xx dollars in sales?

Answers

Answer:

See Below

Step-by-step explanation:

Making $250/week in salary and 10% of the $975 in sales.

First find what 10% of $975 equals.  The decimal equivalent of 10% is 0.10

So multiply the decimal and total sales.

0.10 x 975 = 97.5

Her weekly salary plus the commission would be:

$250 + $97.50 = 347.50

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