A new homeowner is purchasing a living room set for $2,975 and must decide between two financing offers.

Offer 1: $250 down payment, 24.90% interest rate, compounded monthly, for 3 years, with no payments due for 6 months and then fixed payments of $139.05 for the remainder of the loan term

Offer 2: $400 down payment, 22.90% interest rate, compounded monthly, for 3 years, with no payments due for 12 months and then fixed payments of $165.76 for the remainder of the loan term

Part A: What is the total cost of offer 1? Explain which technology you used to solve and each step of your process. (3 points)

Part B: What is the total cost of offer 2? Explain which technology you used to solve and each step of your process. (3 points)

Part C: Which financing offer should the new homeowner choose? Explain your reasoning. (4 points)

Answer:

Evan will need enough paint to cover

✔ 448 in.2.

What is the maximum amount of soil he will need to fill the box?

The maximum amount of soil is

✔ 768 in.3.

Step-by-step explanation:

I got it right on assignment, sorry for late answer

Evan will need enough paint to cover 448 in². The maximum amount of soil is 768 in³

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

The box is open at the top, hence:

Minimum amount of paint = surface area of box = (16 * 6) + 2(8 * 6) + 2(16 * 8) = 448 in²

Maximum amount of soil = 16 in * 6 in * 8 in = 768 in³

Evan will need enough paint to cover 448 in². The maximum amount of soil is 768 in³

Find out more on equation at: https://brainly.com/question/2972832

#SPJ2

Answer

He needs to get 20 points

Step-by-step explanation:

80% is 4/5. 4/5 of 25 is 20

Answer:

  DNE

Step-by-step explanation:

You want the value of 'b' so that the system of equations has no solution.

In order for the system of two linear equations to have no solution, the equations must describe parallel lines. That is, the lines must have the same slope.

The slope of the line written in the form px -qy = c is the coefficient of x when the equation is rearranged to "y=" form. Here, that is p/q.

The slope of the first line is 5/2; the slope of the second line is 5/6. These values are different and do not depend on 'b'.

There is no value of 'b' that will make this system have no solution. It does not exist (DNE).

Answer:

x = 400 when y = 100

Step-by-step explanation:

This is a question in relation to direct variation.

y ∝ [tex]\sqrt{x}[/tex]

y = k [tex]\sqrt{x}[/tex]

Given that, y = 45, x = 81. Then;

45 = k [tex]\sqrt{81}[/tex]

45 = 9k

k = [tex]\frac{45}{9}[/tex]

k = 5

Thus the relationship among the variables is;

y = 5 [tex]\sqrt{x}[/tex]

If y = 100, then;

100 = 5 [tex]\sqrt{x}[/tex]

[tex]\sqrt{x}[/tex] = [tex]\frac{100}{5}[/tex]

[tex]\sqrt{x}[/tex] = 20

x = [tex](20)^{2}[/tex]

x = 400

Therefore, x = 400 when y = 100.

The first five multiples of 5 is 5, 10, 15, 20, 15 and the multiple equation is

5×1, 5×2, 5×3, 5×4, 5×5.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Find the first five multiples of the number.

Let, The number be 5.

Therefore, The first five multiples of 5 is,

5, 10, 15, 20, 25.

And, the multiple equation is,

5×1, 5×2, 5×3, 5×4, 5×5.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ1

Answer:

A

Step-by-step explanation:

The figure was turned 90 degrees

Answer:

The answer is 12 (B)

I hope this helped!!!

Step-by-step explanation:

First Quartile Q1 = 14

Second Quartile Q2 = 18

Third Quartile Q3 = 26

Interquartile Range IQR = 12

Median = Q2 x˜ = 18

Minimum Min = 12

Maximum Max = 35

Range R = 23

You can use a calculator for this, just search it up! I can't include the link because then my answer would be reported, but just search up IQR calculator.

Answer:

1. -3, -2

2. 2, -7

3. 1, 2.5

4. infinitely many solutions

Answer:

1. (-3,-2)

2. (1, -7)

3. (1, 2.5)

4. No solution

Step-by-step explanation:

Number 1: Substitution

Plug y in to substitute and get

2x + (2x + 4) = -8

4x + 4 = -8

4x = -12

x = -3

Then plug into the y equation

y = 2(-3) + 4

y = -6 + 4

y = -2

(-3, -2)

Number 2: Elimination

Begin eliminating by crossing out same values

40x + 12y = -44

-2y = 14

Solve for y

-2y = 14

y = -7

Solve for x

40x + 12(-7) = -44

40x - 84 = -44

40x = 40

x = 1

(1, -7)

Number 3: Elimination

Add the two and get:

-3x + 2y = 2

6y = 15

Solve for y:

6y = 15

y = 5/2

Solve for x:

3x + 4(5/2) = 13

3x + 10 = 13

3x = 3

x = 1

(1, 2.5)

Number 4: Substitution

Solving for y to begin with:

4x - y = -3

-y = -3 - 4x

y = 3 + 4x

Then solve for y in the second system

-8x + 2y = 6

2y = 6 + 8x

y = 3 + 4x

Set equal to each other

3 + 4x = 4 + 4x

3 = 4

No solution

The set of rational expressions are closed under subtraction because the subtraction will result to a rational expression

The ratio of two polynomials is a rational expression.

A rational expression can be expressed in the form p/q, where p and q are polynomials,

Closure property of rational expression

According to the closure property, a - b is also a rational number for any pair of two rational numbers, a and b. The outcome is a rational number. Therefore, under subtraction, the rational numbers are closed.

In the polynomial subtraction

= P(x) /q(x) - r(x)/s(x)

= (P(x) * s(x) - r(x) * q(x)) / (q(x) * r(x))) also a rational number

Learn more about closure property of rational numbers at:

https://brainly.com/question/9353272

#SPJ1

Answer:

157[tex]ft^{3}[/tex]

Step-by-step explanation:

Volume =  the area of the base times the height.

Area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]

a = [tex]\pi[/tex][tex](5^{2})[/tex]   I am going to use 3.14 for [tex]\pi[/tex]

a = 3.14(25)

a = 15.7

Volume = 15.7 x 10 = 157

Answer:

785 ft२

Step-by-step explanation:

volume =3.13*5२*10

=3.14*25*10

=785 ft२

Answer:

Multiply input by 4.

Step-by-step explanation:

So, all we have to do is find the difference between the input/output.

So for the first one.

4y=1x

Divde both sides:

1y=1/4x

Next we have 16y=4x

Divide both sides:

1y=1/4x

Ok, so we now know that y is 1/4x

Or in otherwords, 4x is 1y.

Remember x is input, and y is output.

So we can think of this as the input times 4 equals the output.

This seems to be the second answer.

Hope this helps!

Answer:

Second option: multiply input number by 4.

Step-by-step explanation:

You need to remember that the "input numbers" are the values of "x" and the "output numbers" are the values of "y".

You can observe in the table that each output number is always four time its corresponding input number. This means that to find the missing numbers on the given table, you need to multiply the corresponding input number by 4.

Therefore, you get:

For  : x=3

y=4x

y=4(3)

y=12

For  : x=6

y=4x

y=4(6)

y=24

As a result, the first term of the answer to the given arithmetic mean problem is 14.

The Arithmetic Mean or Average of the Group is the product of the sum of all the numbers in a group and the amount of items in that list, divided by both. The Geometric progression is also same as this .This average of the numbers 5, 7, and 9 is, for instance, 4, as 5 + 7 + 9 is 21, and 21 split by 3 [there really are three numbers] equals 7.

Here,

In this case, t(n) = (a + ((n — 1) * d)),

The value of the nth term is t(n),

The first term of the AS is a.

The position of a value in the A.S. is represented by the positive whole integer n, and

The constant common difference among A.S. words is d.

In light of the question, we can say:

11 = (5 + ((4 — 1) * d)),

Take 5 away from both sides.

11 — 5 = (5 + ((4 — 1) * d)) — 5,

On the RHS, the fives cancel one another out.

6 = 3d,

d = 2.

In summary, the common distinction is: 2.

=> 20 = a + 3d

=> 20 - 6

=> a =14

As a result, the first term of the answer to the given arithmetic mean problem is 14.

To know more about arithmetic mean  , visit

https://brainly.com/question/13000783
#SPJ1

Answer:

Each roll of wallpaper has an area of 90 square feet.

Step-by-step explanation:

In order to find the number of square feet of wallpaper in each roll, we first need to calculate the total area of the wallpaper in the roll. The area is the product of the length and width of the roll.

The width of each roll is 1 yard, and the length of each roll is 10 yards.

Area of the wallpaper = width x length = 1 yard x 10 yards = 10 square yards

Now we need to convert the area from square yards to square feet, as the area of wallpaper is usually measured in square feet.

1 yard = 3 feet

So we need to multiply the area in square yards by the conversion factor, which is 9.

10 square yards = 10 square yard * 9 = 90 square feet

Therefore, each roll of wallpaper has an area of 90 square feet.

It's important to note that while calculating, the units should be consistent i.e area of a length (yard) multiplied with a width(yard) will give the area in square yards, which we converted to square feet by considering the conversion factor of 1 yard = 3 feet.

The total surface area of the cube will be 37.5 cm²

Here the edge of the cube is given

Edge = 2.5 cm

We have to find out the total surface area of the cube

Total surface area of cube = 6a², where a is the edge of the cube

                                            = 6 × 2.5 × 2.5

                                            = 37.5 cm²

Hence, the total surface area of the cube will be 37.5 cm²

The complete question is,
Find the surface area of a cube of Edge 2.5 CM​

To learn more about surface area refer to:

https://brainly.com/question/410493

#SPJ1

Answer:

8.5

Step-by-step explanation:

there's a rule to get the distance between 2 points

√((1st x- 2nd x)²+(1st y- 2nd y)²)

√((-6-(-6))²+(5-(-3.5))²)

=√((-6+6))²+(5+3.5))²)

you can just type that on your calculator and you'll get the result

√((-6+6))²+(5+3.5))²)

=√((5+3.5))²)

= √((8.5))²)

the root goes away with the power (exponent)

so it equals 8.5

Answer:

Dylan should purchase the 10-lens boxes in packs of 4 for $120, as this is the better deal. This option provides 40 lenses for $120, which works out to be $3 per lens. The 8-lens boxes in packs of 2 for $52 only provides 16 lenses for $52, which works out to be $3.25 per lens Therefore, the 10-lens boxes in packs of 4 is the better deal.

Step-by-step explanation:

Answer:

he should buy the 10-lens boxes in packs of 4 for $120

Step-by-step explanation:

Answer:

42.3°

Step-by-step explanation:

Use SOH-CAH-TOA (O=opposite, A=adjacent, H=hypotenuse) we see that they give us the angle missing, x, but we first need to identify what method to use. They give us the opposite side from the angle, and they also give us the adjacent side from the angle, so TOA=tan.

now plug it in, since there is no angle then we plug it in as [tex]tan^{-1}=\frac{10}{11}[/tex]

in the calculator, (be sure to be in degree mode)

x=  42.3°

(does that make sense)

Answer:

44-31=13

so 13

Step-by-step explanation:

Answer:

The answer is "0.096".

Step-by-step explanation:

In this question, the X is a number of the students who enroll in a psycholog y course,  follows a Poisson distribution with mean [tex]= \lambda= 105[/tex]  

[tex]\therefore P(X=x)=\frac{e^{-105} 105^{x}}{x!},(x=0,1,2,3.....)\\\\\to p(teach\ two \ sections) = P(X \geq 119)\\\\=1-P(X<119)\\\\=1-\sum_{x=0}^{118}P(X=x)\\\\=1-\sum_{x=0}^{118}\frac{e^{-105} 105^{x}}{x!}\\\\=0.0956747863537\\\\=0.096\\[/tex]

The measure of ∠ 1 is 68.7°

Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°.

Given is a figure of angles showing the pair of linear angles.

Therefore, by the definition of linear pair angles,

∠ 1 + 111.3° = 180°

∠ 1 = 180° - 111.3°

∠ 1 = 68.7°

Hence, the measure of ∠ 1 is  68.7°

For more references on pair of linear angles, click;

https://brainly.com/question/17525542

#SPJ1

Answer:

Jim bought the used RV at a price of $ 6,485 under its book price.

Step-by-step explanation:

Given that Jim Clinnin purchased a used RV with 18,500 miles for $ 46,400, and originally the RV sold for $ 67,500 with a residual value of $ 19,500 and, after subtracting the residual value, depreciation allowance per mile was $ 0.79, to determine how much was Jim's purchase price over or below the book value the following calculation must be performed:

18,500 x 0.79 = 14615

67,500 - 14,615 = X

52.885 = X

52,885 - 46,400 = 6,485

Therefore, Jim bought the used RV at a price of $ 6,485 under its book price.

Answer:

Asumiendo que la distribución de las compras sea normal, tenemos:

_

x = 128.45

σ = 18.26

a)

x = 100

Normalizamos:

.......... _

z = (x - x) / σ

z = (100 - 128.45) / 18.26

z = -28.45 / 18.26

z ≅ -1.56

Buscando en la tabla de áreas bajo la curva normal tipificada (de 0 a z) obtenemos que para z = 1.56 la probabilidad es de 0.4406 = 44.06%. Esta es P(-1.56 < z < 0) = P(0 < z < 1.56).

Como preguntan P(x > 100), tenemos que

P(x > 100) = 0.5 + P(-1.56 < z < 0) = 0.5 + 0.4406 = 0.9406

La probabilidad de que un cliente compre más de $100 es del 94.06%.

=======

b)

x = 150

Normalizamos:

.......... _

z = (x - x) / σ

z = (150 - 128.45) / 18.26

z = 21.55 / 18.26

z ≅ 1.18

Buscando en la tabla de áreas bajo la curva normal tipificada (de 0 a z) obtenemos que para z = 1.18 la probabilidad es de 0.3810 = 38.10%. Esta es P(0 < z < 1.18).

Como preguntan P(x > 150), tenemos que

P(x > 150) = 0.5 - P(0 < z < 1.18) = 0.5 - 0.3810 = 0.1190

La probabilidad de que un cliente compre más de $150 es del 11.90%.

=======

c)

x = 120

Normalizamos:

.......... _

z = (x - x) / σ

z = (120 - 128.45) / 18.26

z = -8.45 / 18.26

z ≅ -0.46

Buscando en la tabla de áreas bajo la curva normal tipificada (de 0 a z) obtenemos que para z = 0.46 la probabilidad es de 0.1772 = 17.72%. Esta es P(-0.46 < z < 0) = P(0 < z < 0.46).

Como preguntan P(x < 120), tenemos que

P(x < 120) = 0.5 - P(-0.46 < z < 0) = 0.5 - 0.1772 = 0.3228

RESPUESTA:

La probabilidad de que un cliente compre menos de $120 es del 32.28%

Answer:

53 centimeters

Step-by-step explanation:

Answer: 53 centimeters

Answer:

Option D would be the correct answer

Hope this helps!

Answer:

I didn't unferstanf

Step-by-step explanation:

ok further of all I don't understand the question

✔ -15/17

cos(θ) =  

✔ 8/17

tan(θ) =  

✔ -15/8

csc(θ) =  

✔ -17/15

sec(θ) =  

✔ 17/8

cot(θ) =  

✔ -8/15

Answer:

13 is your number

Step-by-step explanation:

23 = -29 x 4x

add 29 to both sides

52 = 4x

divide both sides by 4

13 = x

Answer:

13

Step-by-step explanation:

13 x 4 = 52 - 29 = 23