George wants to borrow $30,000 to purchase a car. After looking at a monthly budget he realizes that all he can afford to pay per month is $350. The dealership is offering a 4.77% loan. When George hears how much interest he will pay over the life of the loan, he decides to cut back on his entertainment expenses and pay $400 per month. How much in interest will George save by paying an extra $50 per month? Hint: Round any loan length calculations to the nearest quarter of a year.

Answers

Answer 1

Answer:

$8,670

Step-by-step explanation:

Answer 2

George will save $1,431 in interest by paying an extra $50 per month.

What exactly is a monthly payment?

A monthly payment is a payment made every month to pay off loans or advances. It's similar to EMI.

First, you need to calculate the length of the loan in years.

Since George can afford to pay $350 per month, and he wants to borrow $30,000, the length of the loan in months is 30,000 / 350 = 85.71428571 months.

To convert this to years, you can divide the number of months by 12: 85.71428571 months / 12 months/year = 7.142857143 years.

You should round this to the nearest quarter of a year, which is 7.25 years.

Next, you need to calculate the total amount of interest that George will pay over the course of the loan. To do this, you can use the formula:

interest = principal x rate x time

In this formula, "principal" is the amount of money that George is borrowing, "rate" is the interest rate of the loan, and "time" is the length of the loan in years. Plugging in the values that you know, you get:

interest = 30000 x 0.0477 x 7.25 = 10,374.75

Now that you know how much interest George will pay if he pays $350 per month, you can use the same formula to calculate how much interest he will pay if he pays $400 per month. You will get a slightly different loan length because the $400 payment will allow him to pay off the loan faster.

The new loan length will be 30,000 / 400 = 75 months.

Converting this to years gives 75 months / 12 months/year = 6.25 years. Rounding this to the nearest quarter of a year gives 6.25 years.

Using the formula again, you get:

interest = 30000 x 0.0477 x 6.25 = 8,943.75

To find out how much George will save by paying $50 more per month, you can subtract the amount of interest he will pay with the higher monthly payment from the amount of interest he will pay with the lower monthly payment:

10,374.75 - 8,943.75 = 1,431

This means that he will save $1,431 in interest by paying an extra $50 per month.

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Related Questions

405\450 = 9/10
process

Answers

Answer:

Correct

Step-by-step explanation:

Just divide both the numerator and the denominator by their common factors.

First of all factor both of the numbers.

405=5*3^4

450=5^2*3^2*2

Now line it up.

5*3*3*3*3

---------------

5*5*3*3*2

Now we can cancel out some numbers and get

3*3

-----

5*5

Now we actually multiplies them again and get.

9/10

This is the process of how to get it hope it helped!

Elena drank 5 bottles of water over 7 volleyball practices. How much water did Elena drink each practice if she drank the same amount each time?

Please have good explanation

Answers

Answer:

Step-by-step explanation:

If you would like to know how much water did Elena drink each practice if she drank the same amount each time, you can calculate this using the following steps:

5 bottles of water ... 7 practices

x bottles of water = ? ... 1 practice

5 * 1 = 7 * x

5 = 7 * x /7

x = 5/7 bottle of water

The correct result would be 5/7 bottle of water.

a student earn $16 per day for delivering overnight packages. She is paid $7 per day plus .60 for each package delivered. How many more deliveries mush she must make each day to increase her earnings to $28? ​

Answers

9514 1404 393

Answer:

  20 more deliveries

Step-by-step explanation:

The student wants to increase her earnings by $28 - 16 = $12 per day. Her earnings increase by $0.60 per package delivered, so she must deliver ...

  $12/($0.60/pkg) = 20 pkgs

more each day.

6x - 5 + 7x = 34 find variable

Answers

Answer:

x = 3

Step-by-step explanation:

6x - 5 + 7x = 34

Find x

______________

To solve this, we need to isolate x :

First add like terms :

6x + 7x

13x

13x - 5 = 34

Add 5 to both sides :

13x = 39

Divide 13 from both sides to get x alone :

x = 3

Answer:

x=3

Step-by-step explanation:

Start by moving the 5 over creating 6x+7x=34+5. Then add them together 13x=39. And now simplify x=3

If AC = 14, what is the measure of AD? Round your answer to the nearest hundredth.

Answers

Part A

Answer: Choice D) [tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}[/tex]

-----------------------------------------------

Explanation:

Let E be the intersection point of the diagonals. For any parallelogram, the diagonals bisect each other. This means that AE = EC = 2n+5 and it also means EB = DE = 4n-3

Focus on triangle AED. This triangle is a right triangle with angle AED as a 90 degree angle (any rhombus has its diagonals that are perpendicular to one another). The legs of this triangle are AE = 2n+5 and ED = 4n-3

Apply the pythagorean theorem to find hypotenuse AD

[tex](\text{leg1})^2+(\text{leg2})^2 = (\text{hypotenuse})^2\\\\(\text{AE})^2+(\text{ED})^2 = (\text{AD})^2\\\\(\text{AD})^2 = (\text{AE})^2+(\text{ED})^2\\\\\text{AD} = \sqrt{(\text{AE})^2+(\text{ED})^2}\\\\\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\[/tex]

This points to choice D as the final answer.

===========================================================

Part B

Answer:   7.07

-----------------------------------------------

Explanation:

If AC = 14, then half of this is AE = 7. The diagonals bisect each other, so they cut each other in half with E at the midpoint.

Since AE = 2n+5, we can solve for n like so

2n+5 = 7

2n = 7-5

2n = 2

n = 2/2

n = 1

Then we can find the length of AD

[tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\\text{AD} = \sqrt{(2*1+5)^2+(4*1-3)^2}\\\\\text{AD} = \sqrt{(2+5)^2+(4-3)^2}\\\\\text{AD} = \sqrt{7^2+1^2}\\\\\text{AD} = \sqrt{49+1}\\\\\text{AD} = \sqrt{50}\\\\\text{AD} \approx 7.0710678\\\\\text{AD} \approx 7.07\\\\[/tex]

Segment AD is roughly 7.07 units long. The other external sides of the rhombus (AB, BC and CD) are also this length because the four sides of any rhombus are the same length.

25 + (98-7) x4 PLEASE HELP

Answers

Answer: The answer is 464

Step-by-step explanation:

Bc you do 98-7=91, Then you do 25+91*4, Next Do 25+91=116, Last you 116*4= 389 and If this is wrong use a Calaculator Ok

_ Mhart7109

Which set of national numbers is arranged from least to greatest?

Answers

Answer:

the first one

Step-by-step explanation:

negative . 50 then -.20 1/9 then one

Create a word problem with the equation x=y^3

Answers

Answer:

Find the value of y if x is equal to y^3. Hope it helps (not completly sure of the answer though)

y=3√x (solve for y)

Help, will give brainiest!
Use the drop-down menu to complete the statement.

The quotient of 3 divided by 3/4 is ___
(1) 3
(2) 4
(3) 9
(4) 12

Answers

Answer:

The answer is (2) 4

Step-by-step explanation:

Give brainliest

-4>k-2 solve the inequality

Answers

Answer:

k<-2

Step-by-step explanation:

hope this helps :)

Find the number that belongs
in the green box.

Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

The unknown angle.

Start by finding the third angle. Call it x.

x + 125 + 32 = 180

x + 157 = 180

x = 180 - 157

x = 23

Now you are set to use the law of sines.

Call ? = x

x/sin(32) = 7/sin(23)       Multiply both sides by Sin(32)

x = 7*sin(32)/sin(23)

x = 7*(0.5299) / sin(23)

x = 3.7094/ sin(23)

x = 3.7094 / 0.3097

x = 9.4935

Rounded to the nearest 10th

x = 9.5


Here are the first five terms of a number sequence.
45
40
35
30
25
Write down the next two terms of this sequence.

Answers

Answer:

40 is surface the answer of I think about it but I will solve the sum and will give the ans

I need help with this ratio table please!

Answers

Answer:

(Down there)

Step-by-step explanation:

ok so, heres what to put in the empty boxes for the dog food:cost

40 : $44

60 : $66

80 : $88

70 : $77

And heres what to put for the 2nd boxes

16 : $20

24 : $30

32 : $40

40 : $50

(It’s making me type 20 characters long soooooo.

Answers

Answer:

c

Step-by-step explanation:

C is split into thirds which would be 33.333.... B and D are 333.3% and 330% shaded because 1 fully shaded model is 100%.

The longer coffee sits on a desk, the cooler it becomes.

True or False? The length of time on the desk is a function of the temperature
of the coffee.

A. True
B. False

Answers

Answer:

I believe its B False

Answer:

A

Step-by-step explanation:

Adam invests £520 into an savings account.
Adam gets 0.5% per year simple interest.
Work out the total interest Adam will get after 5 years.

Answers

Answer: 1300 i think

Step-by-step explanation:

Adam invest 250 into account and then he gets 0.5% interest, that means he has to multiply 250 by 0.5% and then multiply again by five because of the five years.


The width of a rectangle is 4n - 4.5 feet and the length is 4.5n + 9 feet. Find the perimeter of the
rectangle.

Answers

9514 1404 393

Answer:

  17n+9 feet

Step-by-step explanation:

The perimeter of a rectangle is twice the sum of length and width.

  P = 2(L +W)

  P = 2((4.5n +9) +(4n -4.5)) = 2(8.5n +4.5)

  P = 17n +9

The perimeter of the rectangle is 17n +9 feet.

joe has 4/5 of acre of land and wants to sell 2/3 what fraction of an acre does he want to sell

Answers

Answer:

The answer is

If all of the land had 100 acres than Joe would want to sell 28 of an acre.

Classify the polynomial by Degree and number of Terms
b^3+2b^2-b^2+3b^2+25

A. Quadratic Polynomial
B. None of the answers apply.
C. Cubic Trinomial
D. Polynomial

Answers

Answer:

C) Cubic Trinomial

Step-by-step explanation:

First, we combine like terms to simplify the polynomial. Like terms means having the same variable and exponent.

We get this expression: b^3+4b^2+25

There are 3 terms in this polynomial. Thus, it classifies as a trinomial. And its highest degree is 3, so it’s a cubic trinomial

Jill drove her car for 7 days across the country. She travelled 525 miles. If she continues this pace, how many miles will she have driven after 12 days?

Answers

Answer:

900 miles

Step-by-step explanation:

In 7 days she travels 525 miles.

So, in 1 day she travels: 525 ÷ 7 = 75miles

In 12 days she will have driven : 75 × 12 = 900 miles

Step-by-step explanation:

of at 7days Jill drove 525 miles

then she would drive x Miles in 12 days

7d = 525 miles

12 d = (12 ×525)/7

900 miles

L 4.12.2 Test (CST): Percents, Ratios, Proportions, and Rates
QUOSLUIT VIOU
Which pair of ratios will make a proportion?
O A. and i
O B. and 12 물
O c. and
O
o D. / and 24
20

Answers

The correct pairs which represent the pair of ratios will make a proportion are,

(A) 2/3 and 4/9

(B) 5/15 and 4/12

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

The pairs of ratio are,

(A) 2/3 and 4/9

(B) 5/15 and 4/12

(C) 4/12 and 6/24

Now,

From option A;

⇒ 2/3 and 4/9

⇒ 4/ 9 = 2/3

Hence, It make a proportion.

(B) 5/15 and 4/12

5 / 15 = 1 / 3

4 /12 = 1 / 3

Hence, It make a proportion.

(C) 4/12 and 6/24

4/12 = 1/3

6/24 = 1/4

Hence, It don't make a proportion.

Thus, The correct pairs which represent the pair of ratios will make a proportion are,

(A) 2/3 and 4/9

(B) 5/15 and 4/12

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Complete question is this,

Which pair of ratios forms a proportion?

(A) 2/3 and 4/9

(B) 5/15 and 4/12

(C) 4/12 and 6/24

5,576 divided by 92~

Answers

The answer is 60.61 when you divide 5576/92

Answer : 60.61

Explanation:

I am very confused about this​

Answers

Answer:

Area of triangle = 1/2 b×h1/2×22×7 = 77cm^2

Area of parallelogram = b×hArea = 22×9= 198cm^2

Total area of composite figure77cm^2 + 198cm^2= 275cm^2

Answer:

Triangle: 77

Parallelogram: 198

Total: 275

Step-by-step explanation:

The area of a triangle is one half the base times the height.

[tex]A_{T}=\frac{1}{2}bh=\frac{1}{2}(22)(7)=77[/tex]

The area of a parallelogram is base times height.

[tex]A_{P}=bh=(22)(9)=198[/tex]

The total area is the sum.

77+198=275

If the numerator of a fraction is increased by 3, the fraction becomes 3/4.If the denominator is decreased by 7,the fraction becomes 1. Determine the original fraction.

Answers

Answer:

9/16

Step-by-step explanation:

Let the original fraction be

x/y

Then

x+3/y=3/4

and

x/y-7=1

Look at 2nd fraction, rearrange it such that you multiply by "y-7" on both sides

x=y-7  

Substitute this into 1st fraction:

x-7+3/y=3/4  

Now we can solve this for y:  cross-multiply --> (Note: y-7+3 = y-4)

4(y-4)=3y

y=16

Sub this back into "x = y-7" to get x

x=16-7=9

Therefore the original fraction is:

9/16

because like a population has a standard deviation of 11 what is the approximate standard error of the mean for a sample size of 150​

Answers

Answer:?

Step-by-step explanation:

Which expression is equivalent to 5 (n - 9)?
A) 5n - 45
B) 5n + 45
C) 5n - 9
D) 5n + 9

Answers

Answer:

[tex]A= 5n-45[/tex]

Step-by-step explanation:

Can u gimme brain plz!

Which of the following is true concerning the expression 6x + 3 + x? 6x and 3 are like terms. B 6x and x are like terms. C The simplified form of the expression is 6x + 3. D The simplified form of the expression is 10x.​

Answers

Answer:

Time is very precious and we should not waste it in any way. Likewise, we can earn the money we spent but we cannot get back the time we have lost. So, this makes the time more valuable than money. Hence, we should utilize the time in the most possible way.

Step-by-step explanation:

Time is very precious and we should not waste it in any way. Likewise, we can earn the money we spent but we cannot get back the time we have lost. So, this makes the time more valuable than money. Hence, we should utilize the time in the most possible way.

Answer:

9 is the answer because it is the answerr

find f(-2) for the function f(x)=5x+14

Answers

Answer:

f(-2)=(-11)

Step-by-step explanation:

f(-2)=5(-5)+14

=(-25)+14

=(-11)

Please help F + g (1)

Answers

9514 1404 393

Answer:

  a) -13

  b) -22

Step-by-step explanation:

It can be convenient to compute the function values first:

  f(1) = 1² -14·1 = -13

  g(1) = 1 +8 = 9

Then the compositions are ...

(a) (f+g)(1) = f(1) +g(1) = -13 +9 = -4

(b) (f-g)(1) = f(1) -g(1) = -13 -9 = -22

Ansel has two family members who travel for work. Ansel’s aunt travels every 12 days. Ansel’s cousin travels every 8 days. Today both of Ansel’s family members are traveling for work. After how many days will both family members travel on the same day again

Answers

24 days,
12 & 8 have a least common multiple of 24 so that is when they would both travel
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