Michelle is debating between two different mortgages for $184,000. She found a 20-year fixed rate loan at 7.05% and 15-year fixed rate loan at the same rate. How much more interest will she pay for the 20-year loan versus the 15-year loan?

Answer:

Divide the numerator and denominator by 6

Answer:

Mode =Li+[f1-f0/2f1-f0-f2] *h

Li=lower limit.

F1= first frequency

F0= upper frequency of first frequency.

F2= second frequency.

H= difference between class intervals.

Hope it is helpful

Given:

Consider the completer question is "Find the derivative [tex]\dfrac{dy}{dx}[/tex] for [tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]."

To find:

The derivative [tex]\dfrac{dy}{dx}[/tex].

Solution:

Chain rule: [tex]\dfrac{d}{dx}f(g(x))=f'(g(x))\cdot g'(x)[/tex]

Quotient rule: [tex]\dfrac{d}{dx}\dfrac{f(x)}{g(x)}=\dfrac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}[/tex]

We have,

[tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]

Differentiate with respect to x.

[tex]\dfrac{dy}{dx}=\dfrac{d}{dx}\left(\dfrac{x^2-4x}{x^3-5}\right)[/tex]

Using chain rule and quotient rule, we get

[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)\dfrac{d}{dx}(x^2-4x)-(x^2-4x)\dfrac{d}{dx}(x^3-5)}{(x^3-5)^2}[/tex]

[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)(2x-4)-(x^2-4x)(3x^2)}{(x^3-5)^2}[/tex]

[tex]\dfrac{dy}{dx}=\dfrac{2x^4-4x^3-10x+20-3x^4+12x^3}{(x^3-5)^2}[/tex]

[tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex]

Therefore, the required answer is [tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex].

Answer:

haaaahhhhhhhhhaaaaaa

Step-by-step explanation:

Answer:

Step-by-step explanation:

Translation right (or left) means change of the x-coordinate.

Translation down (or up) means change of the y-coordinate.

(5, -4)   →    (5+3, -4-1) = (8, -5)

Answer:

51

Step-by-step explanation:

Answer: -8.041x10-6= -86.41

Step-by-step explanation:

Answer:

-0.000008041

Step-by-step explanation:

-8.041 * 10^-6

First, convert the negative exponent.

-8.041 * 1/10^6

Then, multiply. (Using a calculator, preferably.)

THe answer is: -0.000008041

Answer:

Step-by-step explanation:

288 divided by 4 = 72

72X4=288

Hope it helps

Answer: 5

Step-by-step explanation: 4 + 3 + -2 = 5

Step-by-step explanation:

(3x² / 2 )° = 96° [ being corresponding angles ]

3x² = 192°

x² = 192/3

x² = 64

x² = (+ 8) ²

Therefore x = +8 and -8

Hope it helps. :)

Answer:

I think 42

Step-by-step explanation:

Answer:

The first answer, 3 times the square root of x squared is correct.

Answer:2nd one because 2/6=1/3

Step-by-step explanation:

Answer:

y = -8x+9

Step-by-step explanation:

7 = -8(-2) - b

7 = 16 - b

-9 = -b

b = 9

y = -8x+9

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

y = 7x - 8 → (1)

y = 5x - 2 → (2)

A

Solving by substitution

Substitute y = 7x - 8 into (1)

7x - 8 = 5x - 2 ( subtract 5x from both sides )

2x - 8 = - 2 ( add 8 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Substitute x = 3 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 7(3) - 8 = 21 - 8 = 13

Solution is (3, 13 )

B

The point of intersection of the graph of the 2 equations is the solution to the above equations.

That is point of intersection = (3, 13 )

Answer:

12

Step-by-step explanation:

Given the arithmetic sequence :

-3,0,3,6,9

Using the relation :

Tn = a + (n- 1) d

d = common difference = t2 - t1 = 0 - (-3) = 3

The next term = 6th term ; n = 6

a = first term

T6 = - 3 + (6 - 1)3

T6 = - 3 + (5)3

T6 = - 3 + 15

T6 = 12

Answer:

y/x= -8/-2= 4 => when y=32 => 32/x=4 => x=8

The magnitude of two vectors are [tex]|A|=\sqrt{29},|B|=\sqrt{6}[/tex]

and the directions are

[tex]A=\frac{1}{\sqrt29}[2i+3j+4k]\\\\B=\frac{1}{\sqrt6}[i-2j+3k][/tex]

The magnitude of a vector can be defined as:

The length of a vector or the distance between the initial point and the endpoint of a vector.

Here given that,

[tex]A=2i+3j+4k\\B=i-2j+3k[/tex]

The magnitude of a vector is the length of the vector.

The magnitude of the vector a is denoted as ∥a∥.

For magnitude,

[tex]|A|=\sqrt{2^2+3^2+4^2}\\\\=\sqrt{4+9+16}\\\\=\sqrt{29\\\\}\\|B|\\=\sqrt{1^2-2^2+3^2}\\\\=\sqrt{1-4+9}\\\\=\sqrt{6}[/tex]

For Direction of sum,

[tex]\frac{A}{|A|}\\\\=\frac{1}{\sqrt29}[2i+3j+4k]\\\frac{B}{|B|}\\\\=\frac{1}{\sqrt{6}}[i-2j+3k][/tex]

For the vector B, the direction of the sum is

[tex]\frac{B}{|B|}\\\\=\frac{1}{\sqrt{6}}[i-2j+3k][/tex]

Hence, the magnitudes are [tex]|A|=\sqrt{29},|B|=\sqrt{6}[/tex]

and the direction are

[tex]A=\frac{1}{\sqrt29}[2i+3j+4k]\\\\B=\frac{1}{\sqrt6}[i-2j+3k][/tex]

To know more about the magnitude;

https://brainly.com/question/1852933

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Answer:

B

Step-by-step explanation:

You use FOIL (first, inner, outer, last). You then see what answer would get 47x for the middle...

(x-6)(8x+1) is the only one that gets 47x.

Then finish solving (x-6)(8x+1)  to get 8x - 47x - 6

Answer:

length: 11m. width: 5m. Hope this helps

Answer:

B

Step-by-step explanation:

Pretty much what the solution says. Increasing from -∞ to 0, then 2 to ∞. Decreasing between 0 and 2.

Hope this helps!

Answer:

Linear:

y = 2x + 1

5x = 6 + 3y

y/2 = 3 − x

Nonlinear:

x2+y2 = 1.

x2 + 12xy + y2 = 0.

x2+x+2 = 25

Step-by-step explanation:

Answer: Yes, round it to the nearest tenth

Answer:

400 student

55/100 * x(unknown) = 220

55x/100 =220

CROSS MULTIPLY

55X = 22000

X = 22000/55

X = 400

The total number of students at the King School is 440.

Given that, at the King School, 55% of the students take a bus to school.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the total number of students be x

So, 55% of x =220

⇒ 55/10 ×x=220

⇒ 0.55x=220

⇒ x=220/0.55

⇒ x=440

Therefore, the total number of students at the King School is 440.

To learn more about the percentage visit:

brainly.com/question/24159063.

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Answer:

it has to be in the negative numbers

Step-by-step explanation:

reason is that if you add positive numbers to a negative then the number goes down but back up to 0

Answer:

-20

Step-by-step explanation:

I think that is right I might be trippin tho I think I'm tripping but  also think it's right not 100% sure tho

Answer:

(5نغنفنفتغن6نغنص7

76ق3332

54ىكللعغص3تةوعخو

Answer:

105

Step-by-step explanation:

Angles in triangles are equal to 180. Substract the 2 known angles to get  your answer.

Answer:

(x+1)(x-2)(x-3)^2

Step-by-step explanation:

Sorry, mate. That math is too hard to type out online. You's guys will just have to take my word for it!

Answer:

like this do 4x9 4x1 then move down and add a zero then do 1x9 1x1 and then add 76 +190 and get 266 all in your head.

Step-by-step explanation:

 19

x 14

_______

   76

+ 190

______

266