Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.

Answers

Answer 1

Complete question :

Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.

Set up an equation such that Tn represents the total amount Simon still owes after n months.

Calculate the amount Simon still owes at the end of one year after his purchase.

Answer:

Tn = 2900 - 180(n - 1)

Tn = $920

Step-by-step explanation:

Cost of furniture = $2900

Assume no interest

Amount paid in first month = 0

Constant amount to be paid after first month = $180

T amount owed after n, months :

Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)

Hence,

Tn = 2900 - 180(n - 1)

Amount owed at the end of one year after purchase :

Tn = 2900 - 180(12 - 1)

Tn = 2900 - 180(11)

Tn = 2900 - 1980

Tn = $920

Answer 2

The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is :

Tn = 2900 - 180(n - 1)

Tn = $920

"To understand the calculation, check below."

Interest

What all information we have ?

Cost of furniture = $2900

Assume no interest

Amount paid in first month = 0

Constant amount to be paid after first month = $180

T amount owed after n, months :

Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)

Tn = 2900 - 180(n - 1)

Tn = 2900 - 180(12 - 1)

Tn = 2900 - 180(11)

Tn = 2900 - 1980

Tn = $920

The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is Tn = $920.

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Which of the following rational functions is graphed below?

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Answer:

there is no attached file

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Answer:

the answer is 144 feet and I don't really have an explanation

Answer:

Radius = 12 feet

Step-by-step explanation:

The area of a circle formula is Area = pi r^2 ("r" represents the radius)

The area of Circle Q is 144pi

You can substitute "Area" with 144pi, which would look like this:

144pi = pi x r^2

Now divide both sides with "pi", which gives:

144 = r^2

Finally, square root both sides:

sqrt(144) = sqrt(r^2)                     (sqrt = square root)

And that gives

12 = r

So the radius is 12 feet.

Please help!
The sum of two numbers is 52. Their difference is 4. Find both numbers.

Form: Ax+By=C

Answers

Answer:

THE ANSWER IS 44!

Step-by-step explanation:

an art student wants to take a triangle with side lengths of 9,9, and 15 and enlarge it so that the longest side of a new triangle is 22.5. what will the length of the other two sides of the new triangle be

Answers

Answer:

13.5

Step-by-step explanation:

The longest side of the smaller triangle is 15 while that of the bigger one is 22.5

The enlargement ratio is 22.5/15 = 1.5

so the lengths of the smaller sides will be;

(1.5*9) = 13.5

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Answer:

x = 31°

Step-by-step explanation:

triangle = 180°

-there is a right angle

180-90 = 90

90-59= 31

31+90+59 = 180

Answer:

[tex]x=31^{\circ},\\y=5[/tex]

Step-by-step explanation:

Since DB bisects [tex]\angle ABC[/tex], [tex]DC=DA[/tex]. Therefore, [tex]\fbox{$y=5$}[/tex].

From the isosceles base theorem, the measure of the angles adjacent to the congruent sides of an isosceles triangle are equal. Therefore, we can write the following equation:

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factor 2x^3+7x^2-3x-18 completely, given that x+2 is a factor

Answers

Answer:

the other factors are: (x+3) and (2x−3)

Step-by-step explanation:

Nolan has some nickels and some dimes. He has no more than 19 coins worth no less than $1.30 combined. If Nolan has 5 nickels, determine all possible values for the number of dimes that he could have. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

Answers

Answer:

number of dimes 11 to 14

Step-by-step explanation:

given data

coin = 19

worth no less = $1.30

Nolan nickles = 5

solution

we convert 5 cent to dollars, it will be

5÷100 = $0.05

and

dime is worth 10 cents

so it will be 10 ÷ 100 = $0.1

so we consider here x as the number when nickels.

and we consider y as the number of dimes.

so here we can say

x + y ≤ 19      ..........................1

as here no less than $1.30 combined.

so

0.05 x + 0.1 y ≥ 1.3       ......................2

and

when Nolan has 5 nickels

put x = 5 in eq 1

5 + y ≤ 19  

y ≤ 19 - 5

y ≤ 14

and

now we put x = 5 in eq 2

0.05 × 5 + 0.1y ≥ 1.3

0.25 + 0.1y ≥ 1.3

0.1y ≥ 1.3 - 0.25

0.1y ≥ 1.05

y ≥ 10.5

so all possible values for the number of dimes 11 to 14

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Answers

Answer: -1/18 im pretty sure

Step-by-step explanation: Find the exact value using trigonometric identities.

what's the length of line AB if point A is at (6,3 and point B is at (8,-8)

Answers

Answer:

Step-by-step explanation:

Solution,

Here,

A=(6,3) (x1,x2)

B=(8,-8) (y1,y2)

AB=?

Now,

(AB)^2=(x2-x1)^2+(y2-y1)^2

Now putting the value of x1,x2,y1,y2

=(3-6)^2+(-8+8)^2

= (-2)^2+(0)^2

= (-4,0)

AB=(-4,0)

Hope it helped you.

Plz mark me brainliest.

Consider the triangle.
Which shows the order of the angles from smallest to largest?
O angle A, angle B, angle C
O angle B, angle A, angle C
O angle B, angle C, angle A
O angle C, angle A, angle B

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Answer:

angle B, angle A, angle C

Step-by-step explanation:

Heba's account balance is $29.17. Nour's account balance is $11.99

Which account matches each description?

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Answer:

Heba has a greater balance and Nour has more debt

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Answer:

1/3^3 *1/3^2

1/27 *1/9

1/243

Answer: 1/243

Step-by-step explanation:

first, i calculate it.

3^-5

then, i expressed it with a positive exponent.

1/3^5

finally, i simplified it.

1/243

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12x-6y=60
24x+6y=300

Answers

Answer:

x = 10

Step-by-step explanation:

Given the 2 equations

12x - 6y = 60

24x + 6y = 300

Adding the 2 equations term by term will eliminate the y- term, that is

36x + 0 = 360

36x = 360 ( divide both sides by 36 )

x = 10

(88÷1×2×5−9)+3×8 what does this make

Answers

Answer: 6992

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I need some help with this question don't get it help please.

Answers

Answer:

Scale factor is 3.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

The scaled factor is basically the multiplier of which the shape has been transformed. As you can see on the shape from figure A to figure B, the numbers have been divided by 3. 9/3=3, 3.6/3=1.2

Hope this helps you!

Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena
starts with $10 in her savings account and adds $20 each week.
1. After four weeks, who has more money in their savings account? Explain how you know.
2. After how many weeks will Andre and Elena have the same amount of money in their savings accounts?

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Answer:

Andre and 6 weeks

Step-by-step explanation:

because,20x4+10=90 and 5x4+100=

Complete the statement. Round to the nearest hundredth if necessary.

4 ft = ?m

Answers

Answer:

1.2192

Step-by-step explanation:

There are 1.22 meters in 4 feet.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

We have,

1 meter = 3.28 feet

1 ft = 0.3048 m

Multiply 4 on both sides.

4 ft = 4 x 0.3048 m

4 ft = 1.2192 m

Rounding to the nearest hundredth.

4 ft = 1.22 m

Thus,

4 feet is equal to 1.22 meters.

Learn more about unit conversion here:

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5x+y=7
20x+2=y
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What doesy=?

Answers

Answer: y = 6 x = 0.2

Step-by-step explanation:

5x+y=7  

20x+2=y

re-write one

5x + y = 7  OR  y = 7 - 5x

substitution

20x + 2 = 7 - 5x

20x + 5x = 7 - 2

25 x = 5

x = 5/25

x = 0.2

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y = 7 - 5x

y = 7 - 5(0.2)

y = 7 - 1

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Answers

Answer:

(x - 9)(x + 9)

Step-by-step explanation:

x² - 81 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), then

x² - 81

= x² - 9²

= (x - 9)(x + 9)

Question is in picture below

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[tex]find \: lengh \: bc \: because \: find \: the \: base \: area \: \\ bc = ad \\ from \: ac = 15mm \\ ab = 12mm \\ from Pythagoras \: {c}^{2} = {a}^{2} + {b}^{2} \\ is \: {(ac)}^{2} = {(bc)}^{2} + {(ab)}^{2} \\ 15 ^{2} = {(bc)}^{2} + {12}^{2} \\ {(bc)}^{2} = 15^{2} - {12}^{2} \\ bc = \sqrt{{15}^{2} - {12}^{2} } \\ bc = \sqrt{225 - 144} \\ bc = \sqrt{81} \\ bc = 9 \: or \: - 9 \\ bc = 9 \\ base \: area \: = bc \: \times \: ab \\ = 9 \times 12 = 108 {mm}^{2} \\ volume \: pyramid \: = \: \frac{1}{3} \times base \: area \times hight \\ = \frac{1}{3} \times 108 {mm}^{2} \times 13mm \\ = 468 {mm}^{3} [/tex]

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Same back to you

Step-by-step explanation:

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Step-by-step explanation:

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An overall shape of a modified tetrahedral with three tetrahedrals embedded within. The three carbons are all central atoms.

How is the general shape of a cube root function different from the shape of a square root function?

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Square root functions are in the shape of a parabola, like a giant U, while cube root functions are more wide and swiggly, like a stretched out S.

See :

The general shape of a cube root function is a "S" shape when graphed, while the general shape of a square root function is a "U" shape when graphed.

What is the cube root function?

A cube root function is defined as f(x) = ∛x. It has a single value for each positive x and one value for each negative x, so it is defined for all real numbers. It has a vertical asymptote at x=0 and its graph is a reflection of the graph of f(x) = -∛x over the x-axis. It starts at -infinity as x approaches negative infinity, increases to zero as x approaches zero and then decreases to positive infinity as x approaches positive infinity.

A square root function is defined as f(x) = √x. It is defined for all non-negative x and it has a vertical asymptote at x=0. Its graph starts at zero as x approaches zero and increases to positive infinity as x approaches positive infinity.

In summary, the cube root function is defined for all real numbers and has a "S" shape while the square root function is defined for non-negative numbers and has a "U" shape.

Learn more about the function here:

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Find the inverse of the function f(x) = 2x - 4.

Answers

Answer:

f⁻¹(x) = 1/2 x + 2

Step-by-step explanation:

f(x) = 2x - 4      y=2x - 4

swap x and y:  x = 2y - 4

solve y:   2y = x + 4

y = 1/2 x + 2

Inverse notation:   f⁻¹(x) = 1/2 x + 2

xxsaaaaaaaaaaaaaaaaaaaaaaa

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yes aaaaaaaaaaaaaaaxxs

In a box of 80 glasses, 3 are broken.
Work out the percentage of broken glasses in the box.
(with the working pls )

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Answer:

2.4 percent of the glass is broken because if three out of 80 glasses broke that would be how many

3 divided by 80 and then multiply by 100 to get a percentage, so:
3.75%

What is the length of an arc that subtends an angle of 60° at the centre of radius ½m?

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solve the proportion
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Answer:

x = 12

Step-by-step explanation:

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

Answer:

hmmm it got deleted

x=12

Step-by-step explanation:

because 4/5 times 15 is 12

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x=12

plzzzzzzzzzzzzzzzzzzzzzzzzzzz help me this so easy i just dumd



Write an equation for this relationship. if x represents the days and y represents the total cost.

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Answer:

18.5

Step-by-step explanation:

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Answer:

x is 18.5

Step-by-step explanation:

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Solve for p. 3(p+4) = 36

Answers

Answer:

3p + 12 = 36

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Answer:

 p = 8

Step-by-step explanation:

3( p + 4) = 36

3p + 12 = 36

     - 12    - 12

3p = 24

_______

     3

 p = 8

Hope this helps!

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