A house that you are interested in has the following facts listed online: Price = $214,000 APR = 1.15% Down Payment must be 9.5% Loan time frame is 35 years What is the amount of the loan you must take out? What monthly price do you have to pay on this house? What is the total price of this house (including interest and the down payment)?

Answers

Answer 1

9514 1404 393

Answer:

$20,330 down$193,670 loan$560.35 monthly$255,677 total price

Step-by-step explanation:

a) The down payment is 9.5% of the price, so is ...

  down = 0.095×$214,000 = $20,330

__

b) The amount of the loan is the remaining value after the down payment is made:

  $214,000 -20,330 = $193,670

__

c) The monthly payment is given by the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

payment on Principal P at interest rate r for t years

  A = $193,670(0.0115/12)/(1 -(1 +0.0115/12)^(-12·35)) ≈ $560.35

__

d) The total cost of the house is ...

  down + (monthly payment)×(number of months)

  = $20,330 + $560.35×420

  = $255,677


Related Questions

Prove the following identity


sin x(sec x+cscx)= tan x +1

Answers

Answer:

Step-by-step explanation:

________________________________________________________

FACTS TO KNOW BEFORE SOLVING :-

[tex]\sin x = \frac{1}{cosec \: x} \: \: or \: \: cosex \: x = \frac{1}{\sin x}[/tex][tex]\cos x = \frac{1}{\sec x} \: \:or \: \: \sec x = \frac{1}{\cos x}[/tex][tex]\tan x = \frac{\sin x}{\cos x}[/tex]

________________________________________________________

In the question ,

L.H.S. = [tex]\sin x (\sec x + cosec \: x)[/tex]

R.H.S. = [tex]\tan x + 1[/tex]

Lets solve L.H.S. first.

[tex]\sin x (\sec x + cosec \: x)[/tex]

[tex]=> \sin x( \frac{1}{\cos x} + \frac{1}{\sin x} )[/tex]

[tex]=> \frac{\sin x}{\cos x} + \frac{\sin x}{\sin x}[/tex]

[tex]=> \tan x + 1[/tex]

∴ L.H.S. = R.H.S. (Proved)

What is the approximate length of the base of the parallelogram in the diagram?

Answers

Answer:

2piR

Step-by-step explanation:

The base of the parallelogram is equal to the circumference.

The length of the base of the parallelogram will be πr.

What is Parallelogram? What is triangle? What is a expression? What is a mathematical equation?In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically - ∠x + ∠y + ∠z = 180°There are different types of triangles such as - equilateral triangle , scalene triangle , isosceles triangle etc.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.

We have a circle converted into a parallelogram as shown.

The angle subtended by each arc at the center =

Ф = (360°/8) = 45°

Length of each arc will be -

L = (Ф/360°) x 2πr

L = (45/360) x 2πr

L = (5/40) x 2πr

L = 1/8 x 2πr

L(A) = πr/4

Length of the base will be -

L(B) = 4 x L(A) = 4 x πr/4 = πr

Therefore, the length of the base of the parallelogram will be πr.

To solve more questions on 2 -D figures, visit the link below-

brainly.com/question/25950519

#SPJ2

Which shape has more sides than a quadrilateral? A. regular hexagon B. regular quadrilateral C. regular triangle D. rhombus

Answers

Answer: A regular hexagon.

Step-by-step explanation:

A rectangle has a length of (x+3) centimeters and a width of 1/2x centimeters. If the perimeter is 24 cm, what is the length of the rectangle?

Answers

Answer:

17

Step-by-step explanation:

(X+3)+½x=24

1½x+3=24

1½x=24-3

1½x=21

x=14.

Length=14+3=17

please answer this correctly without making mistakes.I want ace,experts and genius people to answer this correctly without making mistakes


add q and 5, add 2 to the result, then add what you have to 4

Answers

Answer:

q+11

Step-by-step explanation:

you have q and you add 5

q+5

they want you to now add 2

q+5 +2

5+2=7

q+7

now add 4

q+7+4

7+4=11

the final answer is q+11

The perimeter
particular rectangle is
36 centimeters. The longer sides of the rectangle are
cach 2 centimeters longer than each of the shorter sides
of the rectangle. What is the length, in centimeters, of
one of the longer sides of this rectangle"?

Answers

Answer:

Long side of the rectangle: 11cm

Shorter side of the rectangle: 7cm

Step-by-step explanation:

36cm divided by 4 = 9

9-2=7

take that two and add it to the other two nines

9+2=11

The required length of the longer sides of rectangle is 10cm.

The perimeter of the rectangle is 36 centimeters,
length = 2+ width

What is rectangle?

rectangle is four sided polygon whose opposites sides are equal and has angle of 90° between its sides.

Perimeter = 2 length x 2 width
36 = 2(2+width) x 2width
36= 4 (1+width)
width = 8
length= 2+width
length = 2+ 8
length = 10 centimeters

Thus, The required length of the longer sides of rectangle is 10cm.

Learn more about rectangles here:
https://brainly.com/question/16021628

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a cylinder had a diameter of 17 cm and a height of 11 cm. ehat is the volume of the cylinder​

Answers

Answer:

2496.78

Step-by-step explanation:

8) How many terms of the arithmetic sequence (2, 4, 6, 8, ...} will give a sum of 600?

PLZ ANSWER

Answers

Answer:

I believe the answer is 300

Step-by-step explanation:

A quality report for a production line shows a score of 59 points on a 65-point inspection test. A passing score is 95% compliance. Did the production line pass inspection?​

Answers

Answer:

the production line did not pass

Step-by-step explanation:

Please help for today

Answers

Answer:

football and soccer looks right :)

Step-by-step explanation:

Most likely football and soccer

hi can someone help me with math?:

Evaluate the expression x + 12, if x = 4

options:

1. 18
2. 8
3. 16
4. 48

Answers

Answer:

4+12= 16 so answer 3

Step-by-step explanation:

put four in place of x

Answer:

3. 16

Step-by-step explanation:

x=4

therefore x is worth four so we can replace x with the number 4

4+12

4+12=16

What is the surface area?
40 m
32 m
40 m
48 m
40 m
square meters
i don’t need a explanation i just need a answer pls hurry!!

Answers

Answer:

6,656 square meters

Step-by-step explanation:

Surface area of triangular pyramid = bh + L(S1 + S2 + S3)

Where,

b = 48 m

h = 32 m

L = 40 m

S1 = 40 m

S2 = 40 m

S3 = 48 m

Plug in the values

Surface area = 48*32 + 40(40 + 40 + 48)

= 1,536 + 5,120

= 6,656 m²

What are the answers to question 1 and 3 PLZZ HURRRYYY

Answers

Step-by-step explanation:

1. Since ark MN is equal in length with ark PQ, line MN=PQ

So 4x+10=38

4x=38-10

4x=28

x=28/4

x=7

3. Same thing so we equate the two parameters

5x-7=3x+2

2x=9

x=9/2

x=4.5

I need to find the surface area of this prism​

Answers

Answer:

264ft³

Step-by-step explanation:

2[(8*6)+(6*12)+(12*8)]

=264

To find surface area you need to find the area of each side on the shape then add it all together. So for the triangle you need to do 1/2 BxH then multiply the number by 2 because you have 2 triangles. Next you can work out the base LxW then to work out the side you do HxL. Your basically just working out the total area of each side that’s possible to touch, every single side.

4. The length of a leg of a right triangle is 12 inches
and the hypotenuse is 17 inches long. What is
the length of the other leg?


Answers

Answer:

12.04

Step-by-step explanation:

The estimated regression equation by least squares method minimizes the sum of the Group of answer choices Absolute deviations between actual and predicted y values Differences between actual and predicted y values. Squared differences between actual and predicted y values None of the choices Absolute deviations between actual and predicted x values.

Answers

Answer:

Squared differences between actual and predicted y

Step-by-step explanation:

The least squares regression method used in predictive modeling for linear regression models produces a best fit line which will minimize the square of the mean difference between the actual and projected or predicted values of the dependent, y variable. Hence, the when the sum of the squared value of the difference between the actual and predicted values (residual) are taken, the fit which gives the minimum sum of squared value is the best fit line upon which the estimated regression equation is based.

The true statement is that the estimated regression equation by least squares method minimizes the sum of the (c) Squared differences between actual and predicted y.

In regression, the least square method is used to estimate quantities.

This is done in order to minimize the sum of the squares of the differences between the observed values and the estimated values.

In this case, the observed value and the estimated values represent the actual and predicted y

Hence, the true statement is that the estimated regression equation by least squares method minimizes the sum of the (c)

Read more about least squares method at:

https://brainly.com/question/25927487

need help geometry question central angles and arcs ??? pls help

Answers

Answer:

45°

Step-by-step explanation:

180 (half a a circle) + 135 = 315

360 - 315 = 45

2/6+1/4
Show work please
And no links

Answers

Answer:

7/12

Step-by-step explanation:

1/3+1/4

convert to twelfths

4/12+3/12

7/12

Answer:

7/12

Step-by-step explanation:

2/6 + 1/4

Change the denomintors to be alike  (Change the denominators to 12) 4/12 + 3/12

Multipy the top and bottom  

Add

Get 7/12

Brainliest?

A bowl contains equal-sized gumdrops. If the bowl has 30 green gumdrops and 1 blue gumdrop, plot an X on the number line below which could represent the probability of randomly choosing a green gumdrop from the bowl.

Explain how you determined your answer.

Answers

Answer:

≈ 0.97

Step-by-step explanation:

Given that :

Number of green gum drops = 30

Number of Blue gum drops = 1

Total number of gum drops :

(Number of blue + number of green gum drops)

(30 + 1) = 31

Probability = Required outcome / Total possible outcomes

P(green gum drops) = number of green drops / total number of gum drops

P(green gum drops) = 30 / 31 = 0.967 ≈ 0.97

The point x will be drawn slightly to the right of the midpoint between the last two tick marks.

what is the perimeter write your solution

Answers

Answer: 88in

Step-by-step explanation:

As he has doubled the sides, the length would now be 24 and the width would be 20.

So then, to work out the perimeter you have to add up all of the sides.

24+24+20+20=88in

Hope this helps :)

how do you factor 14xy + 21x

Answers

Answer:

7x(2y+3)

Step-by-step explanation:

Two swim clubs are having a membership sale. Aqua Plus is offering a two-year membership for $479.76. Water
World is offering an 18-month membership for $350.00. Which describes the swim club that has the lower-priced
offer?
O Aqua Plus has the lower cost of $239.88 per year
O Water World has the lower cost of $239.88 per year.
O Aqua Plus has the lower cost of $19.44 per month
Water World has the lower cost of $19.44 per month

Answers

Answer:

option d is correct

Step-by-step explanation:

hope this helped

Answer:

D

Step-by-step explanation:

Edge 2019

One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side length. Which statements about the two rectangular solids are true?
Check all that apply.

The bases are congruent.

The solids are similar.

The ratio of the volumes of the first solid to the second solid is 8:1.

The volume of the first solid is twice as much as the volume of the second solid.

If the dimensions of the second solid are x by x by h, the first solid has 4xh more surface area than the second solid.

Answers

Answer:

First rectangular solid and second Rectangular solid

1. Bases are in the form of square having same dimensions

2. Height of first rectangular solid=2 ×Height of second rectangular solid

The true statements are

A) The bases are congruent.→The meaning of term congruent is that , the two bases are in the shape of square having same dimensions.

(B) No, The solids are not similar.as ratio of side lengths in not same in each case , because the ratio of heights of two solid is equal to .

(D) Volume of first solid = x *x*2 H=2 x²H

Volume of second solid = x*x*H=x²H

Ratio of volumes =2:1

So, option (D) is true.

(E) Surface area of first solid =2[x*x+x*2 H+2 H*x]

=2[x²+4 H*x]=2 *x*[x+4* H]

Surface area of second solid = 2[x*x+x* H+ H*x]=2[x²+2 H*x]=2* x*[x+ 2*H]

Option A, D, E are correct about two solids.

Step-by-step explanation:

Answer:

a, d, e

Step-by-step explanation:

What the distance between (1,-9) and (6,-6)

Answers

Answer:

8 units for 1, -9

6 units for 6, -6

Step-by-step explanation:

ate has $800 in his checking account. He wants to spend part of this money on a computer. He wants to have at least $350 left in his checking account after buying the computer. The inequality shown can be used to find t, the amount of money in dollars that Nate can spend on the computer.



t plus 350 symbol 800



Which inequality represents all possible values of t?

Answers

Answer:

450 dollars

Step-by-step explanation:

Helps, also explain how to do it I want to learn how and stop using brainy​

Answers

Answer:

259

Step-by-step explanation:

USE PEMDAS

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

Please help me I love u

Answers

45 is the answer have a really good day

Help pleaseee is for nowwww

Answers

Answer:

your bo**bs are so far wooooooooooooooooow!!!!

To draw a line that is parallel to 9x+12y=16, what should the slope of the line be?(1 point)

A. 4/3
B. -3/4
C. -4/3
D. 3/4

Answers

Answer:

Hi how are you doing today Jasmine

Please Help me!!! with this problem

Answers

9514 1404 393

Answer:

  D  120

Step-by-step explanation:

We are given the relation ...

  48 = 0.40 × sales

Dividing by 0.40 gives the sales for the day.

  sales = 48/0.40 = 120

120 milkshakes were sold that day.

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