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Hmmmmm .....     y - 2    would make the frame smaller than the picture.....are you sure it is y - 2?

LTV = loan to value I assume

230000 is 115% of the value  (given in the Question)        so value  is  200 000

If lender will lend 70% of the value    70% x 200 000 = 140 000     

invester spends 230 000 and gets 140 000 resulting in investor having to pay the difference: $90000

(PV(1+ .06/2)^8) (1 + .06/12)^24 = FV = 7424.83       PV= initial deposit = $ 5200

Solve for y:
(y^2 - 9 y + 8)/(y - 1) + (3 y^2 + 16 y - 12)/(3 y - 2) = -3

Simplify and substitute x = y - 1.
(y^2 - 9 y + 8)/(y - 1) + (3 y^2 + 16 y - 12)/(3 y - 2) = 2 (y - 1)
 = 2 x:
2 x = -3

Divide both sides by 2:
x = -3/2

Substitute back for x = y - 1:
y - 1 = -3/2

Add 1 to both sides:
y = -1/2

\(x^2 + 25 = 10x\)

\(x^2 -10x + 25 = 0\)

By the quadratic formula,

\(\boxed{x=5}\)

This is the only solution, so the answer is \(5\) as well.

 0!! Is the double factorial of zero (0), and that equals one (1)

0!! =1

Are saying the answer is one (1), or are you related to Mr. !!!BB?

Uh, only one of the questions are alike and that doesn't answer his 1st and 3rd questions.

\(19 = 52 - 3\cdot 11 = \mu - 3 \sigma\\ 99\% \text{ of the scores fall into }(\mu-3\sigma,\mu + 3\sigma)\\ \text{so }0.01\% \text{ of the scores fall outside that}\\ 0.005\% \text{ above, and }0.005\% \text{ below}\\ \text{so }\approx 0.005\% \text{ scored 19 points or less}\)

\(\text{straightforward use of the quadratic formula}\\ 4x^2+3=3x-9\\ 4x^2-3x+12=0\\ x = \dfrac{3\pm \sqrt{3^2-4(4)(12)}}{8} = \dfrac 3 8 \pm i \dfrac 1 8 \sqrt{183}\\ a = \dfrac 3 8\\ b= \dfrac{\sqrt{183}}{8}\\ \text{you can calculate }a+b^2\)

Thanks CPhill!

It was x+(25/x)=10 sorry :(

NO!, that is NOT right:

x+25/x = 10                              Put the LHS over the common denominator x

[x^2 + 25] / x = 10                    Cross multiply

x^2 + 25 = 10x                         Subtract 10x from both sides

x^2 - 10x + 25 =0                     Write the LHS as a square

(x - 5)^2 = 0                             Take the square of both sides

x - 5 = 0                                    Add 5 to both sides

x = 5 - Both roots are the same

x = 5

Sum = 5 + 5 =10

Let's see Melody...

We have \(4.\overline{8}=10*.4\overline{8}\).

\(4.\overline{8}\) can be rewritten as \(4 \frac{8}{9}\), or \(\frac{44}{9}.\)

Then, we have \(\frac{44}{9}*\frac{1}{10}=\frac{22}{45}.\)

Yes, that is right...

I'm assuming that the question is asking to find the answer to (x + 25)/x = 10

To find the answer you must first multiply both sides by x to remove the denominator of x in the fraction, leaving you with x + 25 = 10x

Next, subtract x from both sides in order to get all your x's on the same side: 25 = 9x

Lastly, just divide both sides by 9 to remove the coefficient of x, leaving you with an answer of x = 25/9 or 2 7/9

See the answer here:  https://web2.0calc.com/questions/help-alg2

We have \(\frac{pq}{2}\), as \(p\) and \(q\) are the two diagonals. Thus, we have \(\frac{40*q}{2}=840\), and \(40q=1680, q=42.\)

Now, we have four right triangles by drawing the two diagonals. If you see closer, we can use the Pythagorean Theorem, to find the side length, which is \(\sqrt{20^2+21^2}=\boxed{29}.\)

Melody: He/she is NOT concerned about prime numbers themselves. Rather, he/she is asking "numbers whose positive integer DIVISORS TOTAL is a prime number." Example: 4^2 =16 =1, 2, 4, 8, 16 (5 divisors). It is "5 divisors" which is a Prime Number. At least, that is how I read the question.

7. A sphere of radius 10 inches is inscribed in a cone with a base of radius 15 inches. In cubic inches, what is the volume of the cone?