Answer:
0
Step-by-step explanation:
-4 - -4 = 0
6-4 = 2
0/2 = 0
Answer:
change in y change in x
The change in x
is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates
m=y2−y1x2−x1
Substitute in the values of x
and y
into the equation to find the slope.
m=−4−(4)−3−(6)
m=8/9
Alana is purchasing a $160,000 home and her bank is offering her a 30-year
mortgage at a 4.9% interest rate. In order to lower her monthly payment,
Alana will make a 20% down payment and is considering a purchase of 3
points. How much lower will her monthly payment be if she purchases the
points?
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
1
Triangle ABC can be taken to triangle A'B'C'using rigid motions and a dilation,
Select all the equations that are true,
Answer:
1st, 4th and 5th equationsStep-by-step explanation:
Correct ratios as per diagram are:
1st, 4th and 5th equations2nd and 3rd equations are incorrect as showing incorrect ratios or not corresponding sides.
Answer:
mine is in different order
Step-by-step explanation:
Select all of the equations that passes through (5,2) and (0,18)??
25 points
Answer:
A
E
F
those are the only three answers the rest of them are wrong
Marcos delivers newspapers during his summer break. He delivers a different number of papers each day. What percent of the total number of newspapers is delivered on Saturday and Sunday?
A.
52.5%
B.
105%
C.
40%
D.
32.5%
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%
If n is an integer and n×10 is a negative number, which of the following statements must be true?
n 0
n = 0
None of the above.
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!
Can someone help me do this? I don't really know how to set up the inequalities
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:
please help
Greater than
Less than
or Equal to
Please help!! If correct, get brainliest!
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°))
Find the distance between 5 + 4i and 9 + 3i.
Answer:
Distance = √17
Step-by-step explanation:
We are looking for the distance between 5 + 4i and 9 + 3i.
This is as equal to saying we have two points in the plane, whose coordinates are; (5, 4) and (9, 3)
Distance between the 2 points will be;
D = √[(5 - 9)² + (4 - 3)²]
D = √(16 + 1)
D = √17
Find the distance between the points (6,7) and ( – 3, – 5)
Answer:
(9,12)
Step-by-step explanation:
can someone give me the correct answer to this problem?
The Walsh family has 4 children. Ryan is 2 years younger than his older brother Patrick. Kelly is 2 years younger than Ryan. Caroline and Kelly are twins. If Patrick is 12, how old is Caroline?
Answer:
8 years old
Step-by-step explanation:
Pls give brainliest!
Calculate the composite surface area of the figure !!
what is the LCM of 9 and 15?
Answer:
B
Step-by-step explanation:
15+15=30
30/9=3 r3 doesn't work
30+15=45
45/9=5
I=$24, P=$400, T=2years
Answer:
rate = 24*100/(400*2) = 3%
Step-by-step explanation:
11. $1.44 for 12 pencils
Answer:12 cents per pencil
Step-by-step explanation:
1.44/12
What is 2 + 2 + 3 x 4 - 1 x 10 - 6. First on the answer gets brainlist;)
Answer: 19
Step-by-step explanation:
Is 3x - y = -6 an euation for a graph
Answer:
no this can't become a number that can be graphed
The jacks and balls have to be spilt among 6 people . Use the distributive property to pull the number 6 out of the expression
Answer: (24 + 60) = (6 × 4 + 6 × 10) = 6 × (4 + 10)
Solve the inequality. 4v + 9 ≤ 5 or -3 >= -6
Answer:
v ≤ − 1 or Always true
Step-by-step explanation:
I hope this helps!
Answer:
v ≤ − 1
Step-by-step explanation:
Can you please help? I’m tired and I have to work on this
Answer:
1) 1/3
2) 1/2
3) 4/1
4) 3/4
5) 2/5, 4/10, 4:10, 4 to 10
6) 3:4, 6/12, 6:12, 6 to 12
7) 3 to 1, 9/3, 9:3, 9 to 3
8) 7/9, 14/18, 14:18, 14 to 18
9)
a) 3/2
b) 3/5
c) 27:18
10) 96 birds visited the feeder
11)
a) nuts row: 3, 6, 9, 12
raisins row: 4, 8, 12, 16
b) 7.5 cups
12)
a) This ratio means that for every 9 boys in the school there are 10 girls
b) 570 students
hey! can you all answer this problem for me please =) its for a test :)
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
find the height of the triangle in which A=192 cm^2
Step-by-step explanation:
one second 12345678910
Need help fast!! Mark brainliest
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!!
Which correctly describes how the graph of the inequality -5x+3y>9
PLEASEEEEE HELP ME
yes, hl
yes, asa
no not enough info
yes, sas
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]
find the slope is the line
8. Iwo towns are 3.5 inches apart on a map. The scale of the map is 1 inch = 24 miles. How many miles apart are the two towns? 60 miles 72 miles 84 miles 96 miles
if 2/3 = x/12, what us the value of x ?
Answer:
x=8
Step-by-step explanation:
of this data set 56, 57, 57, 58, 59, 60, 60, 60, 62, 64, 64, 66, 67, 67, 67, 68 what's the mean absolute deviation
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