6. Monthly Mortgage payments can be found using the formula Below:

M-PG2)(1+1)"

(1+12"-1

M = monthly payment

P = amount borrowed

r=annual interest rate

n = number of monthly payments

The Ranallo family just bought a house. They qualified for an annual interest rate of 5.2% and their monthly payment

was $800 for a 30 year mortgage. Algebraically determine the amount of their loan to buy the house.

Answer

Step-by-step explanation:

mulitiply the numbers

add the numbers

rearrange the numbers

[tex](a)\quad a_{n+1}=a_n-6\\\\(b)\quad a_1=20,\ d=2-8=-6\implies a_n=20+(-6)(n-1)\\\\{}\qquad a_n=-6n+26\\\\(c)\quad a_{30}=-6\cdot30+26 = -154[/tex]

Answer:

4. h=9in

5. 150.8[tex]m^{2}[/tex]

6. 301.6[tex]in^{2}[/tex]

Step-by-step explanation:

4.

Surface area of a rectangular prism form : A=2(wl+hl+hw)

Substitute in values from the question: 558=2[(9)(11)+h(11)+h(9)]

Multiply where applicable: 558=2[(99)+11h+9h]

Combine like terms: 558=2[(99)+20h]

Divide both sides by 2: 279=(99)+20h

*note- This step can also be seen as multiplying the right side by 2 without messing with the left at all (558=(198)+40h) then you would solve in the same fashion as I will from here just with the alternative numbering*

Subtract to isolate the h: 180=20h

Divide both sides to isolate the h: 9=h

Now we see that the missing dimension h=9in

*note- I did not bold the equations with squares so please don't be confused by that*

5.

Surface area of a cylinder form: A=2πrh+2π[tex]r^{2}[/tex]

Substitute in values from the question: A=2π(3)(5)+2π[tex]3^{2}[/tex]

Multiply were applicable: A≈94.2+56.5

Add remaining values: A≈150.8

Now we see that the total surface area is 150.8[tex]m^{2}[/tex]

*note- whenever we solve for volume or SA of a figure we square the unit ([tex]m[/tex]➞[tex]m^{2}[/tex])*

6.

Surface area of a cylinder form: A=2πrh+2π[tex]r^{2}[/tex]

Substitute in values from the question: A=2π(6)(2)+2π[tex]6^{2}[/tex]

*note- we use 6 instead of the given value 12 because the equation calls for the radius and not the diameter*

Multiply were applicable: A≈75.2+226.2

Add remaining values: A≈301.6

Now we see that the total surface area is 301.6[tex]in^{2}[/tex]

*note- whenever we solve for volume or SA of a figure we square the unit ([tex]in[/tex]➞[tex]in^{2}[/tex])*

Hope this helps :)

Answer:

It should be A 3 1/4

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Answer:

hjub oubh

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

b-2+2=+2-2-2b

b=-2b

Answer:

5^-1, 0.5, 5^0

Step-by-step explanation:

Convert all numbers so that they have the same format.

5^-1 = 0.2

5^0 = 1

Compare:

0.2 < 0.5 < 1

This would be the order of size starting with the smallest.

Make sure you use the numbers in the problem and not the ones that were simplified.

Answer:

-3 is the answer to this question.

Answer: Your answer is -3

Step-by-step explanation:

1/4 x -12/1

-12 is  whole number so when multiplying just put it over 1 to make it a fraction.

then you get -12/4 and this is simplified to -3. Make sure you make it negative since the 12 is negative! Hope this helps! I love fractions so let me know if you need more help!  :)

Answer:

-8

Step-by-step explanation:

y=(2^2)-12

y=4-12

y= -8

Answer:  983.7 x 10^6

its in the most standard form it can be in now.

The standard form of the given number is 983.7 x 10^6.

We have given that,

The screen displays 9.837E8. Write this number in standard form.​

We have to write the above equation in standard form.

The standard form of a number is a way of writing the number in a form that follows certain rules. Any number that can be written as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form.

We have given  9.837^8

Therefore the standard form of the given number is  983.7 x 10^6.

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Answer:D . No the translation did not preserve the segment length

Step-by-step explanation:

Answer:

4/12

Step-by-step explanation:

There is a 1 in 12 chance of any number being spun on the wheel. Because there are 4 numbers less than 5, there is a 4 in 12 chance of one of those numbers being spun.

Answer:

16,872

Step-by-step explanation:

Answer:

[tex]F'G' = 7[/tex]

Step-by-step explanation:

Given

[tex]F = (-2,4)[/tex]

[tex]G = (-2,-3)[/tex]

Required

Distance of F'G'

The transformation that give rise to F'G' from FG are:

The above transformations are referred to as rigid transformation, and as such the side lengths remain unchanged.

i.e.

[tex]F'G' = FG[/tex]

Calculating FG, we have:

[tex]FG = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Where:

[tex]F = (-2,4)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]G = (-2,-3)[/tex] --- [tex](x_2,y_2)[/tex]

[tex]FG = \sqrt{(-2 - -2)^2 + (4 - -3)^2}[/tex]

[tex]FG = \sqrt{(0)^2 + (7)^2}[/tex]

[tex]FG = \sqrt{0 + 49}[/tex]

[tex]FG = \sqrt{49}[/tex]

Take positive square root

[tex]FG = 7[/tex]

Recall that:

[tex]F'G' = FG[/tex]

[tex]F'G' = 7[/tex]

Answer:

Its called west bay Advent christian church, hope it helps

also gotta love our space friends XD

Step-by-step explanation:

Answer:

slope=3

y intercept=4

Step-by-step explanation:

i did this using the equation y=mx+b m being slope and b being y intercept

Answer:

$2.40

Step-by-step explanation:

Soooo if 5 stuffed animals = $12, then you would divide 12 by 5 and your answer would be 2.4

Answer:

no

Step-by-step explanation:

I think he did the first step correct, 8×2=16.

He did that because in each box there are 2 containers with 8 cards. so all together there are 16 cards in each box.

But then he should've multiplied 16×3=48 because there are three containers with the 16 cards.

Answer:

the answer is 2

Step-by-step explanation:

2(4)-3(2)=

8-6=2

Answer:

4

Step-by-step explanation:

Hope this helps! : )

2(3g - 4) - (8g + 3)

Distributive property

6g - 8 - 8g - 3

Combine like terms

-2g - 11

Answer:

4

Step-by-step explanation:

2(3g-4)-(8g+3)

6g-8-8g-3

-2g-11

Answer:

the maximum width of the mail slot is 25 cm.

u. can find it through phythagoras theorem

Answer:

25

Step-by-step explanation:

Use the pythagorean theorem. Here's how: Since a^2+b^2=c^2, 7^2+24^2=576+49= the square root of 625 which is 25.

Answer:

I believe it’s A.21

Step-by-step explanation:

HOPE THIS HELPS YOU

The approximate height of the barrel is 22.9 inches. They are also important in mathematics and engineering, as they are used to model and solve problems in various fields, such as calculus, geometry, physics, and fluid mechanics.

A cylinder is a three-dimensional geometric shape that consists of two parallel, congruent circular bases connected by a curved surface. The curved surface is composed of a set of parallel lines that connect the two circular bases.

here, we have,

The cylinder can be described by several measurements, including its height (the distance between the two circular bases), its radius (the distance from the center of one circular base to its edge), and its diameter (the distance across the cylinder at its widest point, passing through the center of the circular bases).

We can use the formula for the volume of a cylinder to find the height of the barrel:

V = πr²h

We are given that the volume of the oil is 10,164 cubic inches and the diameter (which is twice the radius) is 23 inches.

r = 23/2 = 11.5 inches

10,164 = π(11.5)²h

Solving for h, we get:

h = 10,164 / (π(11.5)²) ≈ 22.9 inches

So the approximate height of the barrel is 22.9 inches.

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Answer:

The sample space is 29........

Answer:

[tex]745.45 mm^{2}[/tex]

Step-by-step explanation:

(semicircle) A1 = 245.45 mm

(rectangle) A2 = 312.5 mm

(triangle) A3 = 187.5 mm

Formula for semicircle = [tex]A = \frac{1}{2} \pi r^{2}[/tex]

[tex]\frac{1}{2}\pi 12.5^{2} = 78.13\pi = 245.45 mm[/tex]

Formula for rectangle = [tex]A = lw[/tex]

[tex]25 x 12.5 = 312.5 mm[/tex]

Formula for triangle = [tex]A = \frac{1}{2} bh[/tex]

[tex]\frac{1}{2} 30(12.5) = 187.50mm[/tex]

Now we add them all up to get our answer

[tex]245.45 + 312.5 + 187.5 =745.45mm^{2}[/tex]

The area of the composite figure is 741.31 mm².

The area of any object is given by the space covered by it.

Given is a composite figure having shapes, a semicircle, a triangle and rectangle,

We need to find the area of the composite figure,

So, to find the same we will find the areas of the figure and then add them,

So,

Area of a semicircle = π × radius² / 2
= 3.14 × 12.5² / 2

= 245.31 mm²

Area of a triangle = 1/2 × base × height

= 1/2 × 12.5 × 30

= 187.5 mm²

Area of a rectangle = length × width

= 12.5 × 25

= 312.5 mm²

Now, the whole area = 245.31 + 187.5 + 312.5 = 741.31 mm²

Hence the area of the composite figure is 741.31 mm².

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Answer:

volume = 337.2 ft³

Step-by-step explanation:

volume = base x height = 84.3 x 4 = 337.2 ft³

Answer:

I would be in vampire diaries world bc why not

Answer:

I would go to a dream reality where I could hop into any book, or fanfiction of my choosing, and actually talk and communicate with the characters, with all the characters knowing I was always there, just didn't talk to me much, and if the people there have powers, I can choose mine.

Step-by-step explanation:

Answer:

Acute angle, doesn't have a 90 degree angle to be a right triangle, neither a wide angle to be an obtuse triangle.

Answer: x=2 (C)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

GOT IT RIGHT ON TEST!!!!!