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2 years ago

Benjamin has purchased a $105,000 home with a 30-year mortgage at 4.75%.

Mathematics

1 answer:

Lostsunrise [7]2 years ago

7 0

Answer:136 months

Step-by-step explanation:

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In simplest radical form, what are the solutions to the quadratic equation 6 = x2 – 10x?

bezimeni [28]

Answer:

Step-by-step explanation:

quadratic equation: ax² + bx + c =0

x' = [-b+√(b²-4ac)]/2a and x" = [-b-√(b²-4ac)]/2a

6 = x² – 10x ; x² - 10x -6 =0

(a=1, b= - 10 and c = - 6

x' = [10+√(10²+4(1)(-6)]/2(1) and x" = [10-√(10²+4(1)(-6)]/2(1)

x' =5+√31 and x' = 5-√31

5 0

2 years ago

Solving Rational equations. LCD method. Show work. Image attached.

posledela

$(k-2)(k-6)=k^2-2k-6k+12=k^2-8k+12$

So in order to get all the fractions to have a common denominator, we need to multiply $\dfrac k{k-2}$ by $\dfrac{k-6}{k-6}$ , and $\dfrac1{k-6}$ by $\dfrac{k-2}{k-2}$ :

$\dfrac k{k-2}\cdot\dfrac{k-6}{k-6}=\dfrac{k(k-6)}{(k-2)(k-6)}=\dfrac{k^2-6k}{k^2-8k+12}$

$\dfrac1{k-6}\cdot\dfrac{k-2}{k-2}=\dfrac{k-2}{(k-2)(k-6)}=\dfrac{k-2}{k^2-8k+12}$

Now,

$\dfrac4{k^2-8k+12}=\dfrac{(k^2-6k)+(k-2)}{k^2-8k+12}$

As long as $k\neq2$ and $k\neq6$ (which we can't have because otherwise $k^2-8k+12=0$ ), we can cancel $k^2-8k+12$ in the denominators on both sides:

$4=(k^2-6k)+(k-2)$

$4=k^2-5k-2$

$0=k^2-5k-6$

We can factorize the right side:

$0=(k-6)(k+1)$

which tells us that $k=6$ and $k=-1$ are solutions.

4 0

3 years ago

A 40 -inch board is to be cut into three pieces so that the second piece is 4 as long as the first piece and the third piece is

pav-90 [236]

Answer:

4*4=16 INCHES FOR THE SECOND PIECE. 5*4=20 INCHES FOR THE LONGEST PIECE.

Step-by-step explanation:

6 0

2 years ago

What does it mean when a equation has no solution?

velikii [3]

Hello!

No solutions means that there is two sides that do not equal or math, therefore, your answer would be c. both sides of the equation are not equal to one another.
Enjoy.

Brainliest please?

4 0

3 years ago

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What is the ratio between KE and velocity?

just olya [345]

Kinetic Energy (KE) is equal to half of an object's mass (1/2*m), multiplied by the velocity squared.

This would be represented by the equation:
Ek = 1/2*mv^2

8 0

2 years ago