Write a conjecture that describes the pattern below.

3, 9, 27, 81...

Answer:

The amount by which her monthly payment will be lower if she purchases the points is $57.12.

Step-by-step explanation:

Since Alana will make a 20% down payment, the mortgage loan balance can be calculated as follows:

Mortgage loan balance = Mortgage amount – Down payment = $160,000 – ($160,000 * 20%) = $160,000 - $32,000 = $128,000

The amount by which her monthly payment will be lower if she purchases the points can now be calculated using the following steps:

Step 1: Calculation of monthly payment without purchasing 3 points

The monthly payment can be calculated using the formula for calculating loan amortization as follows:

P = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (1)

Where,

P = monthly payment without purchasing 3 points = ?

A = Mortgage loan balance = $128,000

r = monthly interest rate = 4.9% / 12 = 0.049 / 12 = 0.00408333333333333

n = number of payment months = 30 years * 12 months = 360

Substituting all the figures into equation (1), we have:

P = ($128,000 * (0.00408333333333333 * (1 + 0.00408333333333333)^360)) / (((1 + 0.00408333333333333)^360) - 1)

P = $679.33

Step 2: Calculation of monthly payment if she purchases 3 points

Typically, each points purchased reduces the interest rate by 0.25%. Since Alana is considering a purchase of 3 points, her new interest rate can then be calculated as follows:

New interest rate = 4.9% - (0.25% * 3) = 4.9% - 0.75% = 4.15%

The monthly payment can also be calculated using the formula for calculating loan amortization as follows:

P3 = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (2)

Where,

P3 = monthly payment if 3 points is purchased = ?

A = Mortgage loan balance = $128,000

r = new monthly interest rate = 4.15% / 12 = 0.0415 / 12 = 0.00345833333333333

n = number of payment months = 30 years * 12 months = 360

Substituting all the figures into equation (2), we have:

P3 = ($128,000 * (0.00345833333333333 * (1 + 0.00345833333333333)^360)) / (((1 + 0.00345833333333333)^360) - 1)

P3 = $622.21

Step 3: Calculation of the amount by which her monthly payment will be lower if she purchases the points

This can be calculated as follows:

Amount of reduction = P - P3 = $679.33 - $622.21 = $57.12

Therefore, the amount by which her monthly payment will be lower if she purchases the points is $57.12.

Answer:

28.87

Step-by-step explanation:

i just did the quiz

Alrighty Daniel I think I've figured it out for you. A and B are 55° each, and then C is 70°. Hope I've helped!!

Answer:

a) Yes, HL

Step-by-step explanation:

[tex]We\ know\ that:\\Both\ triangles\ are\ right\ triangles. (90\ degree)\\They\ share\ a\ common\ side.\\They\ have\ their\ hypotenuses\ corresponding.\\Hence,\\Through\ HL(If\ the\ hypotenuse\ and\ any\ leg\ of\ the\ triangles\ are\ corresponding,[/tex][tex]then,\ the\ two\ triangles\ are\ congruent.)[/tex]

[tex]We\ can\ hence,\ conclude\ that\ the\ given\ triangles\ are\ congruent.[/tex]

Answer:

Step-by-step explanation:

If any individual factor on the left side of the equation is equal to  

0

, the entire expression will be equal to  

0

.

2

x

−

1

=

0

3

x

+

2

=

0

Set the first factor equal to  

0

and solve.

Tap for more steps...

x

=

1

2

Set the next factor equal to  

0

and solve.

Tap for more steps...

x

=

−

2

3

The final solution is all the values that make  

(

2

x

−

1

)

(

3

x

+

2

)

=

0

true.

x

=

1

2

,

−

2

3

The result can be shown in multiple forms.

Exact Form:

x

=

1

2

,

−

2

3

Decimal Form:

x

=

0.5

,

−

0.

¯

6

The product of all values of {x} that satisfy the equation →

(x - 4)(2x - 1)(3x - 2) is 4/3.

An algebraic expression is a combination of terms, both constants and variables. For example, we can write the algebraic expressions as -

2x + 3y + z

4x + 5

Given is the algebraic expression as -

(x - 4)(2x - 1)(3x - 2)

The given expression is -

(x - 4)(2x - 1)(3x - 2) = 0

We can write -

(x - 4) = 0   or   (2x - 1) = 0   or   (3x - 2) = 0

x = 4   or   x = 1/2   or   x = 2/3

The product of all values of {x} that satisfy the equation above is -

4 x 1/2 x 2/3

4/3

Therefore, the product of all values of {x} that satisfy the equation →

(x - 4)(2x - 1)(3x - 2) is 4/3.

To solve more questions on simplifying expressions , visit the link below

https://brainly.com/question/403991

#SPJ2

Answer:

a) <DXC and < CXB are complementary angles

b) Supplementary angles

<AXB and <DXB

<AXC and DXC

Step-by-step explanation:

Complementary angles: Two angles are complementary angles if their sum equals 90°

Supplementary angles: Two angles are Supplementary angles if their sum equals 180°

a) Name a pair of complementary angles

So, <DXC and < CXB are complementary angles

b) Name two Supplementary angles pair

<AXB and <DXB (their sum equals 180°)

<AXC and DXC ((their sum equals 180°))

Step-by-step explanation:

5x+9=x-23

5x-x=-23-9

4x=-32

4x/4=-32/4

x=-8

Answer:

x=-8

Step-by-step explanation:

5x+9=x-23

Add 23 on both sides

23 cancels on right side of the equation

5x+32=x is what you have now

Now subtract 5x on both sides

5x cancels on left side of the equation

32=-4x is your new equation

Divide -4 on both sides of the equation

-8=x is now your answer

Hope this helps!!

Answer:

A

E

F

those are the only three answers the rest of them are wrong

Answer:

Step-by-step explanation:

A function is a relation in which each input has only one output

so a relation cannot have more than one output

Answer:

each input (x-value) only has one output (y-value)

Step-by-step explanation:

you can use the vertical line test; pretend to draw vertical lines and if there are two point on the graph where the vertical line touches, it cannot be considered function.

Answer:12 cents per pencil

Step-by-step explanation:

1.44/12

Answer:

x=8

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

8x -1 = 4x + 3

-4x    - 4x

4x -1 = 3

     +1  +1

   4x=4

     x=1

Answer:

Step-by-step explanation:

Correct ratios as per diagram are:

2nd and 3rd equations are incorrect as showing incorrect ratios or not corresponding sides.

Answer:

mine is in different order

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

15+15=30

30/9=3 r3 doesn't work

30+15=45

45/9=5

Answer:

3.625

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

“To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean” you are basically adding all the numbers together and dividing by the amount of numbers there

Hope this helped

Answer:

rate = 24*100/(400*2) = 3%

Step-by-step explanation:

Step-by-step explanation:

one second 12345678910

Answer:

v ≤  − 1   or  Always true

Step-by-step explanation:

I hope this helps!

Answer:

v ≤  − 1

Step-by-step explanation:

Answer:

N is a negative number, and since you did not provide a clear first option, I will assume the answer is none of the above. However, the accurate answer is n < 0.

Step-by-step explanation:

Hope this helped!

Answer: (24 + 60) = (6 × 4 + 6 × 10) = 6 × (4 + 10)

Answer:

52.2% or A

Step-by-step explanation:

55+50 = 105

105/200 = 0.525

0.525 x 100 (to get the percent) = 52.5%

Answer:

52.5%

Step-by-step explanation:

Add together the number of papers delivered on Saturday and Sunday. Then divide that by the total number of papers delivered.

55+50 = 105

105/200=52.5%

Answer:

Every real number other than zero is either positive or negative. The non-negative whole numbers are referred to as natural numbers (i.e., 0, 1, 2, 3...), while the positive and negative whole numbers (together with zero) are referred to as integers. (Some definitions of the natural numbers exclude zero.)

Step-by-step explanation:

Answer:

Sample Response: The number line shows -2 through 2, divided into fourths, with zero in the middle. The numbers increase as you move right and decrease as you move left.

                                                                    Plz mark brainlest

Answer:

you can subtract 2x from both sides

Then subtract 5 from both sides.

x = 2 is what the equation gives you

Step-by-step explanation:

You can do one of two things.

1. You can subtract 2x from both sides of the equation

or

2. You can subtract 5 from both sides of the equation.

Either one will give you the correct answer.

3x - 2x + 5 = 2x - 2x + 7    Combine the xs

1x + 5 = 7                             Subtract 5 from both sides.

x + 5-5 = 7-5

x = 2

Answer:

subtract the lowest variable from the highest variable.

Step-by-step explanation:

3x+5=2x+7

1x+5=7

add the 5 to the 7

12

divide 12 and the 3x

Answer: 4.

x=4

Answer:

Symbol

Words

Example

>

greater than

x + 3 > 2

<

less than

7x < 28

≥

greater than or equal to

5 ≥ x − 1

≤

less than or equal to

2y + 1 ≤ 7

Step-by-step explanation:

Answer:

T=10c+2p

Step-by-step explanation:

Answer:

Well.. Brainly isn't made for test answers and it breaks their rules, but I will answer..  Not right now tho cus im in math class doing problems but I PROMIS that I WILL edit this and put the answer in. (The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest.

- •Trix•

( Yes I know my - •Trix• thingy is not my user but its what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

Answer: it B

Step-by-step explanation: because first 2 = 2/1 / 1/3 but u can’t divide them so you change divide sign on multiple so means 2/1 * 1/3 but the 1/3 flips numbers 3/1 so 2/1 * 3/1 = 6