Evaluate the expression for the given value of the variable.
46 + 1/5r
r = -1/2

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

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."

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.

Learn more about "Interest":

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Answer:

x=2.2

Step-by-step explanation:

You know that for triangle ABC, side AB=10, CB=2 and AD=AB+BD=10+1=11. Given that triangles ABC and AED have the same angles, they are similar triangles.

So we can use the following ratios to solve for ED=x:

Answer:

The number of stickers that would be in each book is :

3 animal stickers, 4 flower stickers, 5 star stickers

Step-by-step explanation:

Lisa has 24 flowers stickers, 18 animal stickers and 30 star stickers.

We solve this above question, using the Greatest Common Factor Method

We find the factors of 24, 18 and 30

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Then the greatest common factor is 6.

We are told that: Each book has the same number of stickers and the same type of sticker how many stickers can be in each book?

For animal stickers

18 animal stickers

= 18 animal stickers/6

= 3 animal stickers

For flower stickers

24 flowers stickers

= 24 flowers stickers/6

= 4 flower stickers

For animal stickers

18 animal stickers

= 18 animal stickers/6

= 3 animal stickers

For star stickers

30 star stickers.

= 30 star stickers/6

= 5 star stickers

Therefore, the number of stickers that would be in each book is :

3 animal stickers, 4 flower stickers, 5 star stickers

Answer:

(1, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

-4x + 9y = 14

12x - 10y = -8

Step 2: Rewrite Systems

-4x + 9y = 14

Step 3: Redefine Systems

-12x + 27y = 42

12x - 10y = -8

Step 4: Solve for y

Elimination

Step 5: Solve for x

Step-by-step explanation:

HERE,

two equation are,

●-4x+9y=14••••••••••••(equation I)

●12x-10y=-8•••••••••••(equation II)

First multiplying 3 in equation I

we get,

[tex]\bold{3×(-4x+9y=14) }[/tex]

=[tex]\bold{ -12x+27y=42 }[/tex]••(equation III)

Then,

we combine the equationii and equation III.

we get that,

[tex]\bold{12x-10y-12x+27y=-8+42 }[/tex]

[tex]\bold{\cancel{12x}-10y\cancel{-12x}+27y=-8+42 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{17y=34 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ y=\dfrac{34}{17} }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\boxed{ y=2 }[/tex]

Then,

put the value of y in equation II.

WE get,

[tex]\rightsquigarrow[/tex] [tex]\bold{12x-10×2=-8 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x-20=-8 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x=-8+20 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x=12 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ x=\dfrac{12}{12} }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\boxed{ x=1 }[/tex]

So,

solution of the two equation (-4x+9y) and (12x-10y=-8) is (1,2)

Answer:

Surface area of box = 94cm²

Step-by-step explanation:

Given that:

Width of box = 3 cm

Length of box = 5 cm

Height of box = 4 cm

Surface Area = 2lw + 2lh + 2hw

Surface area = 2( lw + lh + hw )

Surface area = 2(5*3 + 5*4 + 4*3) = 2(15+20+12)

Surface area = 2(47) = 94 cm²

Hence,

Surface area of box = 94cm²

The required solution in mixed form is,

⇒ 1 1/12

We have to given that,

To change the fraction 13/12 into mixed number.

We know that,

Mixed fraction is written as,

a b/c

Where, a, b  and c are whole number.

Here, Fraction is,

13 / 12

After divide,

1 1/12

Therefore, The required solution in mixed form is,

⇒ 1 1/12

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Answer:

0, 1, 2, 3, 4

Step-by-step explanation:

solving 5x + 5 ≥ 3 we get x ≥ -2/5

all values above, and including, zero are solutions

Answer:

Below:

Step-by-step explanation:

Given:

Line QR≅Line SR

Line PQ≅Line PS

Reflexive Property:

Line RP≅Line RP

SSS Theorem:

ΔPQR≅ΔPSR

Answer:

147°

Step-by-step explanation:

supplementary angles equal to 180° in total so...

180 - 33 = 147

Answer:

m is equal to 36.

Step-by-step explanation:

To get rid of division, all you need to do is multiply both sides of the equation by the denominator, which is 12 in this case:

[tex]3 = \frac{m}{12}\\\\3 \times 12 = \frac{m}{12} \times 12\\\\36 = m[/tex]

So m is equal to 36

Answer:

The answer ia option 2

Step-by-step explanation:

When a line is parallel to the other line, they will have the same slope (gradient).

The new equation will be y = (1/4)x + b.

Next, you have to find the value of b, by substituting the coordinates into the equation :

[tex]y = \frac{1}{4} x + b[/tex]

[tex]let \: x = - 4,y = - 2[/tex]

[tex] - 2 = \frac{1}{4} ( - 4) + b[/tex]

[tex] - 2 = - 1 + b[/tex]

[tex]b = - 1[/tex]

Answer:

B. A 100° angle

Step-by-step explanation:

Im pretty sure its an 100 degree angle :)

B.

Since the rational numbers are in parenthesis next to each other it means you have to multiply both of the numbers together.

Hope this helped at least a little bit!~

Also fun fact!

Your a beautiful person, and worth so much.

You deserve the world and more!

So please don't let anyone say otherwise, there are so many people in this world who love you.

And if someone can't see your beauty then their rather blind or your just to bright for them!

Your amazing, so keep on with life, stay strong, and live long because I love you!

Answer:

-12.98

Step-by-step explanation:

Uhhhhh.... I dunno lol

Answer:300

Step-by-step explanation:

25 times 12

Answer:

vfca

Step-by-step explanation:

vaddavavthui sn fa

Answer:

7/6

Step-by-step explanation:

trust me i promise this is right

Answer:

We conclude that:

[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}[/tex]

Least Common Multiple of x+4, x+6:  (x+4) (x+6)

Adjusting fractions based on the LCM

[tex]=\frac{\left(x+2\right)\left(x+6\right)}{\left(x+4\right)\left(x+6\right)}-\frac{\left(x-1\right)\left(x+4\right)}{\left(x+6\right)\left(x+4\right)}[/tex]

since the denominators are equal, combine the fractions:

[tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

so the expression becomes

[tex]=\frac{\left(x+2\right)\left(x+6\right)-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}[/tex]

[tex]=\frac{x^2+8x+12-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}[/tex]

[tex]=\frac{x^2+8x+12-x^2-3x+4}{\left(x+4\right)\left(x+6\right)}[/tex]

simplify

[tex]=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]

Therefore, we conclude that:

[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]

Answer:

40%

Step-by-step explanation:

(850-510)/850 = 340/850 = 2/5 = 40%

Answer: 40% I looked it up

Step-by-step explanation:

Answer:

Step-by-step explanation:

Looks like we both struggle with geometry

Answer:

27

Step-by-step explanation:

PEMDAS

That is the order that you should solve complex equations

You first do equations in Parentheses

Then exponents

Then Multiplication or Division (whichever comes first in the equation)

Then Addition or Subtraction (again, whichever comes first in the equation)

So we first do the equation in parentheses, 7 - 5

7 - 5 = 2

Then we do the exponent (to the power of 2)

2 to the power of 2 is 4 (fun fact. 2 + 2 is the only equation that is the same in addition form and multiplication form)

Next, we multiply 4 by 6

4 x 6 = 24

And finally addition

3 + 24 = 27

Answer:

The answer is C

Step-by-step explanation:

Answer:

Darn, I could have helped you but I'll leave it to the boys :) goodluck!!

Answer:

y = (x - 4)² - 26

Step-by-step explanation:

To complete the square, all we need to do is take term -8x, and add enough to make the equation come out to the square of half that.  Half of -8 is -4, so we need to add 26 to the equation to end up at 16:

[tex]y = x^2 - 8x - 10\\y + 26 = x^2 - 8x + 16\\y + 26 = (x - 4)^2\\y = (x - 4)^2 - 26[/tex]

Giving us the final result

Step-by-step explanation:

this is what i according to the calculator

Answer:

The value of x is 14.75 ⇒ (2)

Step-by-step explanation:

In the given figure

∵ The vertices of the quadrilateral BCED lie on the circumference of circle A

→ By using the 1st rule above

∴ BCED is a cyclic quadrilateral

∵ ∠B and ∠E are opposite angles in the cyclic quadrilateral BCED

→ By using the 2nd rule above

∴ m∠B + m ∠E = 180°

∵ m∠B = 6x + 10

∵ m∠E = 81.5°

∴ 6x + 10 + 81.5° = 180°

→ Add the like terms on the left side

∴ 6x + 91.5 = 180

→ Subtract 91.5 from both sides

∵ 6x + 91.5 - 91.5 = 180 - 91.5

∴ 6x = 88.5

→ Divide both sides by 6 to find x

∴ x = 14.75

Step-by-step explanation:

Answer: $380.75x0.075%=28.55625 28.55625+380.75%-D409.30625 $409.30625 $409.31 Answer: $409.31