How would the equation

Answer:

The mortgage chosen is option A;

15-year mortgage term with a 3% interest rate because it has the lowest total amount paid over the loan term of $270,470

Step-by-step explanation:

The details of the home purchase are;

The price of the home = $275,000

The mode of purchase of the home = Mortgage

The percentage of the loan amount payed as down payment = 20%

The amount used as down payment for the loan = $55,000

The principal of the mortgage borrowed, P = The price of the house - The down payment

∴ P = $275,000 - 20/100 × $275,000 = $275,000 - $55,000 = $220,000

The principal of the mortgage, P = $220,000

The formula for the total amount paid which is the cost of the loan is given as follows;

[tex]Outstanding \ Loan \ Balance = \dfrac{P \cdot \left[\left(1+\dfrac{r}{12} \right)^n - \left(1+\dfrac{r}{12} \right)^m \right] }{1 - \left(1+\dfrac{r}{12} \right)^n }[/tex]

The formula for monthly payment on a mortgage, 'M', is given as follows;

[tex]M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]

A. When the mortgage term, t = 15-years,

The interest rate, r = 3%

The number of months over which the loan is payed, n = 12·t

∴ n = 12 months/year × 15 years = 180 months

n = 180 months

The monthly payment, 'M', is given as follows;

M =

The total amount paid over the loan term = Cost of the mortgage

Therefore, we have;

220,000*0.05/12*((1 + 0.05/12)^360/( (1 + 0.05/12)^(360) - 1)

[tex]M = \dfrac{220,000 \cdot \left(\dfrac{0.03}{12} \right) \cdot \left(1+\dfrac{0.03}{12} \right)^{180} }{\left(1+\dfrac{0.03}{12} \right)^{180} - 1} \approx 1,519.28[/tex]

The minimum monthly payment for the loan, M ≈ $1,519.28

The total amount paid over loan term, A = n × M

∴ A ≈ 180 × $1,519.28 = $273,470

The total amount paid over loan term, A ≈ $270,470

B. When t = 20 year and r = 6%, we have;

n = 12 × 20 = 240

[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.06}{12} \right) \cdot \left(1+\dfrac{0.06}{12} \right)^{240} }{\left(1+\dfrac{0.06}{12} \right)^{240} - 1} \approx 1,576.15[/tex]

The total amount paid over loan term, A = 240 × $1,576.15 ≈ $378.276

The monthly payment, M = $1,576.15

C. When t = 30 year and r = 5%, we have;

n = 12 × 30 = 360

[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{360} }{\left(1+\dfrac{0.05}{12} \right)^{360} - 1} \approx 1,181.01[/tex]

The total amount paid over loan term, A = 360 × $1,181.01 ≈ $425,163

The monthly payment, M ≈ $1,181.01

The mortgage to be chosen is the mortgage with the least total amount paid over the loan term so as to reduce the liability

Therefore;

The mortgage chosen is option A which is a 15-year mortgage term with a 3% interest rate;

The total amount paid over the loan term = $270,470

Answer:

-4,1

Step-by-step explanation:

Y is at -1,1

X is at -5,0

subracting we get -4,1

since it’s rise over run

-4,1

so -4

Answer:

the cost of each jacket is 31$

Step-by-step explanation:

mXYZ+mXYW=180°(being straight angle)

mXYW =180-115

mXYW=65

now,

mXWY+mWXY+mXYW=180°(sum of angle of triangle)

mXWY=180-110

mXWY=70°

hope it helps.

The measure of the angle ∠XWY of the triangle is ∠XWY = 70°

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔXYZ

And , the measure of ∠XYZ = 115°

Now , the measure of ∠WXY = 45°

So , the measure of ∠XYW = 180° - 115° ( angles on a straight line = 180° )

And , the measure of ∠XYW = 65°

Now , the measure of ∠XWY = 180° - ( 45° + 65° ) ( angles in a triangle = 180° )

On simplifying , we get

The measure of angle ∠XWY = 70°

Hence , the angles of the triangle is solved

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ7

Answer: The answer is b !

Hope the image helps

Answer:

the slope, m, is 4 and that the y-intercept, b, is -8

Step-by-step explanation:

Compare the given equation to the slope-intercept form y = mx + b.  Here we see that the slope, m, is 4 and that the y-intercept, b, is -8.

Answer:

Hm

Step-by-step explanation:

Answer:

the answer would be 3 1/2

Step-by-step explanation:

if you simplify -7/2 it would be -3 1/2, and the opposite of -3 1/2 is 3 1/2.  And from 0-3 there are 6 spaces, so every two spaces counts as 1. Therefore the point would go one spot after positive 3.  

Answer:

i'm pretty sure it's 4

Step-by-step explanation:

you take the point (1,4) and make it so y is over x (y/x), which gets 4/1, so the constant of proportionality would be 4

Answer:

3,3/5

Step-by-step explanation:

Think 18 divided by 5 but don't get a decimal you get 3 remainder 3. Since you divided it by 5 it will be 3, 3/5

Answer:

5.9 hours

Step-by-step explanation:

1/13+1/11=1/x

looking for x

x= 5.9

are you clear?

Answer:

Yes it is

Step-by-step explanation:

You know it is equal because 2/10 is equal to .20 or .2

Answer:

I’m sure they are both equivalent to 1/5

Step-by-step explanation:

Answer:

546,397 people

Step-by-step explanation:

We solve for the above question, using the formula for Exponential growth

The formula is given as

P(t) = Po (1 + r)^t

Po = Initial population = 310,000

r = Exponential growth rate = 6.5% = 0.065

t = Time in years = 9

P(t) = Population size after time t

Hence:

P(t) = 310,000 × (1 + 0.065)⁹

P(t) = 546,396.82088 people

Approximately =546,397 people

The population will be 546,397 people after 9 years.

Answer:

The given line is a horizontal one, with slope 0 and y-intercept (0, -2/3)

Step-by-step explanation:

To find the y-intercept, set x = 0 (which is the y-axis) and find y:

-3 = 3y - 3.2

Add 3.2 to both sides, to isolate 3y:

0.2 = 3y

Dividing both sides by 3 yields   y = 0.06667

The given line is a horizontal one, with slope 0 and y-intercept (0, -2/3)

Answer:

12

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

it's c I think hmm maybe

Answer:

6x

Step-by-step explanation:

7x - x

6x

ok imma help u just it should not be chem

Answer:

2/3

Step-by-step explanation:

Answer:  triangle inscribed in a semicircle is always a right triangle, triangle ABC is a right ... With that information, we can conclude that triangle ABC is a 6-8-10 right ... Since the diameter is 10, the radius is 5. ... I am now bumping it up - doing my job.

Step-by-step explanation:

Answer:

i think its 6

Step-by-step explanation:

i dont know for sure

Answer:

D. 800 m

Step-by-step explanation:

Volume of a cylinder is πr²h

Here, r=10 h=8

so the volume is

=π x 10² x8

=π x 100 x 8

=800m

The answer is 800m

Answer:

[tex]D[/tex]

Step-by-step explanation:

[tex]Volume[/tex]  [tex]of[/tex] [tex]cylinder[/tex] ≈ [tex]\pi[/tex] [tex]radius^{2}[/tex] × [tex]height[/tex]

[tex]Volume[/tex]  ≈ [tex]\pi[/tex] × [tex]10^{2}[/tex] × 8 [tex]800\pi[/tex]

[tex]so[/tex] [tex]it[/tex] [tex]is[/tex] [tex]D[/tex]

it needs to be shifted to the positive side of the graph by 4 units so right by 4 units is the correct answer

The answer is A. Left by four units. I took the test so it is correct, here is photographic proof:

Answer:

Hello, the answer for your question is c (the expression has a variable in the denominator of a fraction)

Step-by-step explanation:

Answer:

HUh? LOL

Step-by-step explanation:

Answer:

rnfjewjsknfkrngejabjfkba re

Step-by-step explanation:

9514 1404 393

Answer:

  J- There are no real factors.

Step-by-step explanation:

For quadratic ax^2 +bx +c, the discriminant is ...

  d = b^2 -4ac

  d = (-4)^2 -4(9)(1) = 16 -36 = -20

When the discriminant is negative, there are no real factors.

Answer: there are no real factors

Step-by-step explanation: