Hank has the choice of taking out a 30-year loan for $165,000 at 9.1% interest, compounded monthly, or the same loan at 20 years for a higher monthly payment. How much more is the monthly payment for the 20-year loan than the monthly payment for the 30-year loan? O A. $56.47 O B. $155.66 O c. $99.19 OD. $90.05​

Answers

Answer 1

If Hank has the choice of taking out a 30-year loan for $165,000 at 9.1% interest. The amount that the monthly payment for the 20-year loan is more than the monthly payment for the 30-year loan is: B. $155.66.

How to find the monthly payment?

For 30-year loan

P= principal = $165,000

r = Rate = 9.1% /12 = 0.00758

n = Number of months= 30years × 12 months = 360

So,

Monthly payment = 165,000×0.00758 × ( 1+0.00758)^360 / (1+0.00758)^360 -1

Monthly payment = 165,000×0.00758 × ( 1.00758)^360 / (1.00758)^360 -1

Monthly payment = 18,957.7574/14.15771760

Monthly payment = $1,339.04

For 20-year loan

P= principal = $165,000

r = Rate = 9.1% /12 = 0.00758

n = Number of months= 20years × 12 months = 240

So,

Monthly payment = 165,000×0.00758 × ( 1+0.00758)^240 / (1+0.00758)^240 -1

Monthly payment = 165,000×0.00758 × ( 1.00758)^240 / (1.00758)^240 -1

Monthly payment = 7,660.239666/5.12476186615

Monthly payment = $1,494.7

Difference = $1,339.04 - $1,494.7

Difference = $155.66

Therefore the correct option is B.

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Related Questions

2/10+4/100 what is the answer

Answers

Answer: 24/100

Step-by-step explanation:

2/10= 20/100

20/100 +4/100= 24/100 hope this helps

Can somebody help me please!!! asap!!

Answers

The answer is C. Hope this helps

Answer:

The answer is B.

Step-by-step explanation:

Hope this helps! :)

Nancy has a shelf over her bed where she keeps her four stuffed teddy bears. How many ways can she arrange the four bears?

Answers

Answer:

16

Step-by-step explanation:

I believe you just multiply 4 by 4 !

Please helpppp what is the solution to this: 8 < 3x - 1 < 17

Answers

Answer:

3 < x < 6

Step-by-step explanation:

8 < 3x - 1 < 17

Add 1 to all sides

8+1 < 3x - 1+1 < 17+1

9 < 3x  < 18

Divide all sides by 3

9/3 < 3x/3  < 18/3

3 < x < 6

Answer:

x=(3,6)

Step-by-step explanation:

3x-1>8 and 3x-1<17

3x>9           3x<18

x=3               x=6

In September, a website had 11,513 visitors. In October, the website had 23,190 more visitors than it did in September. The website had the same number of visitors in November as it did in October. How many visitors did the website have in September, October, and November combined?

Answers

Answer:

80,913

Step-by-step explanation:

11,513 September

+ 23,190 for for October which would be 34,703 for October plus another 34,703 for November. That total is 80,913

The number of visitors in September, October, and November combined is 80,919.

What is an expression?

An expression is a sentence with a minimum of two numbers or variables and at least one math operation such as addition, subtraction, multiplication, or division.

What is an expression?

An expression is a sentence with a minimum of two numbers or variables and at least one math operation such as addition, subtraction, multiplication, or division.

We have,

September:

Number of visitors to the website

S = 11,513

October:

Number of visitors to the website

O = 11,513 + 23,190 = 34,703

November:

Number of visitors to the website

N = 34,703

The total number of visitors in September, October, and November are:

= S + O + N

= 11,513 + 34,703 + 34,703

= 80,919

Thus the number of visitors in September, October, and November combined are 80,919.

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ANSWER QUICK PLEASE AND CORRECT

Answers

Answer:

111 inches

Step-by-step explanation:

4 inches of length equals 3 inches in width

12ft 4in equals 148 inches (12 inches in a foot)

148 inches {divided by} 4 = 37in

37in {times} 3 = 111in

111 inches = 9ft 3in

111 inches
short answer

PLEASE HELP!!

Does the following depict a translation,rotation, or reflection?

Answers

Answer:

This would represent a translation.

Step-by-step explanation:

It wouldn't be a reflection since both images would be reflected on the same x-axis or y-axis. And it wouldn't be rotation because the form of the shape would have been different in a way that instead of being on it's side it would have been upright. So that leaves us with translation.

Answer:

This would represent a translation.

Step-by-step explanation:

Convert.
300 liters
to hectoliters

Answers

Answer:

wouldnt it be 3?

Step-by-step explanation:

Answer:

3 hectoliters

Step-by-step explanation:

Divide the volume value by 100

One half of a number increased by 3 is five less than two thirds of the number

Answers

Answer:

12 is thy number lol

Step-by-step explanation:

1/2x + 3 = 5 - 2/3x  

Subtract the 1/2x

You get 3 = 5 - 1/6x

Subtract the five.

-2 = -1/6x

Multiply by -6

x = 12

The number who's one-half increased by 3 is five less than two-thirds of itself is 48.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Let the unknown number be represented by x.

Given the statement that "One half of a number increased by 3 is five less than two-thirds of the number". Therefore, the statement as an expression can be written as,

(1/2)x + 3 = (2/3)x - 5

Solving the equation for x,

3 + 5 = (2/3)x - (1/2)x

8 = (4/6)x - (3/6)x

8 = (1/6)x

x = 8 × 6

x = 48

Hence, the number who's one-half increased by 3 is five less than two-thirds of itself is 48.

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WILL MARK BRAINLIEST
Read and Answer
try your best :)

Answers

Answer:

the answer is D

Step-by-step explanation:

You would multiply the sales tax (0.06) to the total of the items bought then you would add that to the total amount of the items bought so 34.85+ 2.091 which is the answer of D

A store sells wine glasses in boxed sets. Each box contains either 4 or 6 matching glasses. The store has a total of
78 boxes, which contain a total of 384 wine glasses. How many boxes contain 6 wine glasses?

Answers

Answer:

36 boxes

Step-by-step explanation:

36 boxes time 6 glasses = 216 glasses

42 boxes time 4 glasses = 168 glasses

all together that 78 boxes and 384 glasses

Is zero an integer?

Answers

Answer:

All whole numbers are integers, so since 0 is a whole number, 0 is also an integer.

Answer:

yes

Step-by-step explanation:

integers are whole numbers and 0 is a whole number so yes

I SWEAR HOW DO I LEARN THIS SHEIT ITS HELLA CONFUSING MAN SOMEONE EXPLAIN PLEASEE​

Answers

So basically ur gonna put the value of each letter into that equation so
A- 3(4)=12
B- 2(4)^2= 32
C- 2(6)/4= 3
D- 4-3(4)= -8

Torrie purchases a bicycle for $175. If the value of the bicycle depreciates at a rate of 7% per year, how much
will the bicycle be worth in 7 years? Round to the nearest dollar.

Answers

Step-by-step explanation:

nevermind di ko maintindihan yung sinasabi mo hotdog ng sayo hotdog mobile legend caravans marunong ka mag mobile legends na totoo

Marcus is a recent college graduate. He has $18,000 in student loans. He took out a loan to buy a car and owes $16,000. The car is now worth $14,000. He got his first paycheck and has $1400 in his checking account. What is Marcus' net worth? (Enter the positive or negative dollar amount only.)

Answers

Given :

Marcus is a recent college graduate. He has $18,000 in student loans. He took out a loan to buy a car and owes $16,000. The car is now worth $14,000. He got his first paycheck and has $1400 in his checking account.

To Find :

Marcus's net worth.

Solution :

We know, net worth is given by :

Net worth = $( Total amount owns - Total loan )

Net worth = $( 16000+1400) - ( 18000+14000)

Net worth = $(17400 - 32000)

Net worth = $-14600

Therefore, Marcus' net worth is $-14600 ( He is in a loan of $14600).

Hence, this is the required solution.

I need help I got -9.125 but the calculator says -9. Here is the problem. Please help ASAP
-8-5n=64+3n

Answers

Answer:

n= -9

Step-by-step explanation:

The calculator is correct haha, You're welcome.

Answer:

n=-9

Explanation:
In order to solve for x, we must get x by itself on one side of the equation.
The equation is:
-8-5n=64+3n
5n is being subtracted and the inverse of subtraction is addition. Add 5n to both sides of the equation.
-8-5n+5n=64+3n+5n
-8=64+3n+5n
-8=64+8n
64 is being added and the inverse of addition is subtraction. Subtract 64 from both sides of the equation.
-8-64=64-64+8n
-8-64=8n
-72=8n
n is being multiplied by 8. The inverse of multiplication is division. Divide both sides of the equation by 8.
-72/8=8n/8
-72/8=n
-9=n

The solution to the equation is n=-9

Which statement best describes the graph and system of equations?
4y - x = 8
x - 4y = 12
A( infinite solutions
B( no solution
C( one solution
D( not enough information

Answers

The answer to this question is B. No solution, as the lines are parallel and will never cross

202.01 has __________ significant figures * 1 point

Answers

Answer:

it has 5 significant figures

(4) x (-6)=
How do I find the answer for this

Answers

Answer:

i think you would treat the other side of the equation like a zero so it would be 4x-6=0 then solve 4x=6 x=1.5

Step-by-step explanation:


Angles 1 and 5 are what type of angle pair? *

Answers

Answer:

Angle 1 and Angle 5 are corresponding angles

Step-by-step explanation:

Two angles that lie on the same side of the transversal in corresponding positions.

PLZ mark BRAINLIEST

Hello, have a nice day. Also stay safe!

any luck of help? this is rlly important just answer the ones u know leave the ones u don't I'll still be brainlisting !:)​

Answers

Answer:

Hajj not connects us with khana kaeba.

Hailey cuts a 7-inch square piece of plywood for a birdhouse. She rotates the piece 90° counterclockwise. What is the length in inches of each side of the piece of plywood after the rotation? Can someone please help me ASAP!!

Answers

Answer:

[tex]\huge\boxed{7 \ \text{inches}}[/tex]

Step-by-step explanation:

When we rotate a line, the size doesn't change. Size only changes if we dilate the figure. Rotating a figure is the same thing as just changing its position by a set amount.

Hope this helped!

what line matches the equation ​

Answers

Answer:

You forgot the picture

Step-by-step explanation:

I think

If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles round to the nearest tenth

Answers

Answer:

Step-by-step explanation:

12.5

Number of laps in given distance is 12.5 laps.

Given:

Length of a track = 400 meter

Total distance = 3.1 miles

Find:

Number of laps in given distance

Computation:

We know that

1 miles = 1609.34 meter

So,

Total distance = 3.1 miles

Total distance = 3.1 × 1609.34

Total distance = 4988.954

Number of laps in given distance = 4988.954 / 400

Number of laps in given distance = 12.4723

Number of laps in given distance = 12.5 laps (Approx.)

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the area of a square whose all sides are 3cm is​

Answers

Step-by-step explanation:

Hey there!

The sides of a square; 3cm.

Area = l^2

[tex]area = {3}^{2} [/tex]

[tex]a = 9[/tex]

Therefore, the area is 9cm^2.

Hope it helps...

The price of a pair of slacks is $29. What is the price after a 30% discount?
$8.70
O $17.40
O $20.30
0 $37.70

Answers

Answer:

The pair of slacks would be

C. $20.30

I hope that this helps! ^‿^

HEY CAN ANYONE ANSWER DIS MATH QUESTION!!!!!!

Answers

Answer:

c. 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

the triangles are proportional.

if you look at AB and DE,

you'll notice that AB is half of DE.

so, triangle ABC's sides are half of triangle DEF

the measure DF is 10, so that means the measure AC is half of that, which is 5

The slope of the lineing through the points (3,1) and (-2,4) is

Answers

Answer:

[tex]\boxed { m = -3}[/tex]

Step-by-step explanation:

Use the Slope Formula to help you find the slope of the two given points:

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

(where [tex](x_{1}, y_{1})[/tex] represents the first point and [tex](x_{2}, y_{2})[/tex] represents the second point)

-Apply the given points onto the formula:

[tex](x_{1}, y_{1}) = (3, 1)[/tex]

[tex](x_{2}, y_{2}) = (-2, 4)[/tex]

[tex]m = \frac{4 - 1}{-2 - 3}[/tex]

Solve for the slope:

[tex]m = \frac{4 - 1}{-2 - 3}[/tex]

[tex]m = \frac{3}{-1}[/tex]

[tex]\boxed { m = -3}[/tex]

Therefore, the slope is [tex]-3[/tex].

Which of the following is a list of all the factors of 24? A. 1, 2, 3, 4, 5, 6, 8, 12, 24 B. 1, 2, 3, 4, 6, 8, 12, 24 C. 2 × 2 × 2 × 3 D. 2, 3, 4, 8, 16, 24

Answers

Answer:

                                                                                                                                                 

                 

 

           

Step-by-step explanation:

Find the variables.
(2x)"
54
x=

Answers

Answer: x= 108

Step-by-step explanation:   (2x)" 54 x= 108x^2= (2^X3^3x^2 )= 108

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