Answer:
$642
Step-by-step explanation:
To calculate sales tax, you multiply the percentage by the price. In this case it would be 600 x 0.07 which is 42. Then you add them together which would be 600 plus 42 which equals 642.
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
Find the distance between the points (6,7) and ( – 3, – 5)
Answer:
(9,12)
Step-by-step explanation:
How would you solve 5x+9=x-23
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!!
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
(x - 4)(2x - 1)(3x - 2) = 0
What is the product of all values of x that satisfy the equation above?
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.
What is algebraic expression?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
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!
11. $1.44 for 12 pencils
Answer:12 cents per pencil
Step-by-step explanation:
1.44/12
Calculate the composite surface area of the figure !!
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)
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!
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
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]
I=$24, P=$400, T=2years
Answer:
rate = 24*100/(400*2) = 3%
Step-by-step explanation:
please help
Greater than
Less than
or Equal to
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:
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
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:
Which correctly describes how the graph of the inequality -5x+3y>9
can someone give me the correct answer to this problem?
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 height of the triangle in which A=192 cm^2
Step-by-step explanation:
one second 12345678910
find the slope is the line
What is 2 + 2 + 3 x 4 - 1 x 10 - 6. First on the answer gets brainlist;)
Answer: 19
Step-by-step explanation:
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 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
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
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!!
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:
Is 3x - y = -6 an euation for a graph
Answer:
no this can't become a number that can be graphed