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
EASY MATH PROBLEM!
Please help me! Will mark brainliest for sure!
Answer:
A
Step-by-step explanation:
Answer:
The answer would be A
Step-by-step explanation:
Use the formula for |A| <= B which is: -B <= A <= B
For this example you would do:
1. Insert the numbers into the formula: -6 <= 2x - 8 <= 6
2. first do the math for -6 <= 2x-8 which is 1 <= x
3. then do the math for 2x - 8 <= 6 which is x <= 7
4. Put that together and you get 1 <= x <= 7
Good luck on the other questions!
Comparing Functions
How much money will Bob in December have if his bank account growth stays at the same rate?
Month Bank-Acc
|
January | $5,000
February $6,700
March $8,400
April $10,100
May $11,800
what is an equation of the line that passes through the points (-2,1) and (-8,4)
Answer:
y = -1/2 x
Step-by-step explanation:
slope = Δy / Δx
= 4 - 1 / -8 - (-2)
= 3 / -6
m = - 1/2
y = mx + b
1 = (-1/2)(-2) + b
1 = 1 + b
b = 0
eqn of the line : y = -1/2 x
The record low temperature in Hawaii is -0.15 times the record low temperature in Alaska. The record low temperature in Hawaii is 12°F. What is the record low temperature in Alaska?
Answer:the record low temperature in Alaska = -80°F
Step-by-step explanation:
Step 1
Let the temperature in Alaska be = x
such that the temperature in Hawaii be -0.15 times temperature in Alaska = -0.15 x.
Step 2
IF the record low temperature in Hawaii is 12°F.
Alaska = ??
We know that
Hawaii= -0.15 x temperature Alaska ( 0.15 x)
12°F=-0.15 x temperature Alaska(x)
Temperature of Alaska, x = 12°F/-0.15
= -80°F
3. The price of a pair of shoes is $64.00 plus 9% sales tax. What is the sales tax on this pair of shoes in dollars and cents? A. $5.76 B. $57.60 $69.716) D. $78.00
Step-by-step explanation:
To figure out this answer, you need to figure out how much 9% is in $64.00
? 9
------- = --------
64 100
Now to solve this you have to multiply diagonally and divide the neighbor
(let me explain)
basically in this case, you would multiply 64 and 9, then divide by 100
64 * 9 = 576
576 / 100 = $5.76
In short: your answer is 'A' $5.76
Hope this helps <3
How do you solve this?
Look at attached file please...I'm really confused!
Answer:
X=18, Y=6
Step by Step Explanation:
This is a little long winded.. Let's solve for Y first.
First looking at the problem, you can note a few things. First of all, there is an Isosceles triangle, and there is an equilateral triangle. Where they connect, there is a 90° angle.
Now, all equilateral triangles have the same angle measurement. 60°. Now, if you look where the right angle is, it is showing a 60° angle, a total of 90°, and an unknown area. So simply subtract. 90-60=30. Divide that by 5, and you have your answer of 6.
Now let's solve X. X is very simple. On an isosceles triangle, the two top sides are the same length. And one of the top sides is the same size as the equilateral triangle. And on equilateral triangles, all sides are the same.
So the 11 transfers over to the X side. So let's make a small equation. 11=X-7. To make it even, let's add 7 to both sides. 11+7=X+7-7. Simplify to get 18=X, which is your answer.
Answer:
X=18 y=6
Step-by-step explanation:
explain and solve
at an amusement park, children are charged an entrance fee of $20 plus $3 per ride and adults are charged an entrance fee of $28 plus $4 per ride. Identify your variable with a 'let' statement and write expressions for both children and adults that represent the cost for each group.
Answer:
T=3r+20 for the children and T=4r+28 for the adults
Step-by-step explanation:
Let r equal the amount of rides the person took, let T equal the total cost of the trip
You bought a can of black beans last week that cost $1.34. This week, the store advertised a sale where 5 cans of beans cost $6.00. You bought one can of beans this week as well. Find the cost per can, and determine how much less the can of beans cost this week compared to last week.
Answer:
1. $1.2
2. $0.14
Step-by-step explanation:
Step one:
given data
Black beans last week that cost $1.34
Step two:
This week's price
5 cans of beans cost $6.00
The cost per can is
= 6/5
=$1.2
The difference in price
=1.34-1.2
= $0.14
Please Help please please
Answer:
5.25
Step-by-step explanation:
Take the distance between the two points and divide by 2.
The distance between the two is 10.5 (9.1-(-1.4))
Divide by two to find the midpoint.
Answer: 3.85
Step-by-step explanation:
find the mean of the 2 numbers, that is the midpoint.
What is the y-intercept of 2y=-3x+18
Answer:
18
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
Identify the variable in the following situation. Mr. Gopal goes to the store and has 25 dollars. He has to buy some candy bars for 10 dollars total. How water bottles can he buy with his remaining money if each water bottle costs 5 dollars
Answer:
3 water bottles
Step-by-step explanation:
25-10=15
15/5=3
Which is the solution to the equation 8.25 + one-fourth w = 10.75? Round to the nearest hundredth if necessary.
Answer:
w=10
Step-by-step explanation:
8.25+1/4w=10.75
8.25+0.25w=10.75
0.25w=10.75-8.25
0.25w=2.5
w=10
I hope this helps
Answer:
C/10
Step-by-step explanation:
Evaluate the expression for x = 2 and y = 4. Enter your answer in the box.
16x0 + 2x2 • y –1
Answer:
31
Step-by-step explanation:
PEMDAS
16(2) * 0.
32 * 0
=0
2(2) * 2
=8
8 * 4 - 1
32 - 1 = 31
Answer:
Its 6. Trust me.
Step-by-step explanation:
sue has 2 cats.
each cat eats 1/4 of a tin of cat food each day
sue buys 8 tins of cat food
has sue bought enough cat food to feed her 2 cats for 14 days?
Olivia filled 4 baskets of apples. Her friend filled up one additional basket of apples. if all of the baskets sold for a total of $160, how much money did each basket of apples cost?
Answer:
$32
Step-by-step explanation:
Since the question says that all the apples were sold for a total of $160, this means that you have to add the additional basket of the friend's to Olivia's. Since Olivia has 4 baskets of apples and her friend has 1, 4+1=5. Since you're trying to find the unit price for 1 basket, you take the total of $160 and divide it by 5 to find how much each basket of apples costed. Since 160/5 is 32, $32 is your answer.
A metal manufacturing company reduces the length of a 12.5-inch cylindrical rod, after which the rod measures 7.8 inches. How many inches was the rod shortened by?
Answer:
4.7 inches
Step-by-step explanation:
The original is 12.5, and it was shortened to 7.8. So take the original, subtract the result, and you will get the answer.
12.5-7.8=4.7
Answer:
4.7 inches hope it helped
Solve the system of equations.
2x+8y=6
-5x-20y+-15
Answer:
2x+8y=6
Step 1: Add -8y to both sides.
2x+8y+−8y=6+−8y
2x=−8y+6
Step 2: Divide both sides by 2
[tex]\frac{2x}{2}[/tex] = [tex]\frac{-8y+6}{2}[/tex]
x=−4y+3
_________________________________________________________
−5x−20y−15
There are no like terms.
Answer:
=−5x−20y−15
Help pls help me!!!!!
Answer:
C
Step-by-step explanation:
This is your answer because when you do the math you get c as your answer.
Hope this help:)
pls mark brainly
Answer:
The answer is C
Step-by-step explanation:
You had $72.31 at the beginning of the month but you deposited $11.27 and $14.76 so if you add all of those you get $19.84
Have a great day!
Please consider marking brainliest
^-^
Line u has a slope of 7/9. Line v is perpendicular to u. What is the slope of line v ?
Answer:
-9/7 bc the perpendicular is the inverse of the former slope
Step-by-step explanation:
HELP!!!! Please help me!!!
Answer:
The answer you have checked is the correct one.
Amanda planned to run 5 kilometers. Instead, she ran 170% of the planned distance,
1 kilometer - 1000 meters
How many meters did Amanda run?
Answer:
8500 meters
Step-by-step explanation:
5 100
170
PLEASE HURRY!!!
What is the output of y=6x−11 when the input is 5?
Answer:
The y-intercept occurs when x = 0, so you can see it is the point: (0, 11).Step-by-step explanation:
help me No wrong answer
The price of an item has been reduced by 10%. The original price was $46. Find the price of the item now.
41.4
Step-by-step explanation:
Hope this helps ∞<3
let me know if its right or wrong
Solve for x
(I’ve tried everything I can think of, but I still haven’t been able to solve this. Please help!)
Answer:
x = 6
∠2 = 75
Step-by-step explanation:
In the given triangle two sides are equal and so it is an isosceles triangle. So, the angles opposite to equal sides are equal
11x + 9 + 11x + 9 + 30 = 180 {Angle sum property of triangle}
11x + 11x + 9 +9 +30 = 180
22x + 48 = 180
22x = 180 - 48
22x = 132
x = 132/22
x = 6
∠2 = 11*6 + 9 = 66 +9 = 75
30 inches in centimetres
Answer:
76.2 cm
Step-by-step explanation:
If you convert, said inches, it wouldn't be an exact number, but it would equal 76.2.
4 -2x plus 5 when x =4
Answer:
1
Step-by-step explanation:
f(4)=4-2x+5
4-2(4)+5
4-8+5
1
Answer:
x=1
Step-by-step explanation:
4-2x+5
x=4 so substitute the x with 4.
4-2(x)+5
=1
What is the value of (7 +21)(3 - i)?
what is -9/4 divided by -4/9
Answer:
Step-by-step explanation:
-9/4 ÷ -4/9= -9/4 x - 9/4=-81/16= 5 1/16
Hope this helps !
*please be serious *
*Solve for y*
Answer:
y = + 4
Step-by-step explanation:
I used an online algebra calculator to check my answer, so you can trust that this is correct.
Answer:
y=x+4
Step-by-step explanation:
2y=2x+8
Divide everything by 2y
y=x+4