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2 years ago

How much might a home buyer expect to pay in closing costs on a $220,000

2 answers:

8 0

$220 000 is the total cost of the house that a buyer bought.
Prior to that, he paid 10% of the amount for down payment.
Now, we need to find the amount he will need to pay to paid off the house he bought.
=> 10% = 10 / 100
=> 0.1
We already have the value of 10%, now multiply this to the total amount of the house
=> 220 000 x 0.1
=> 22 000 – he paid this amount for down payment.
Now, let’s subtract his down payment from the total amount.
=> $220 000 – 22 000
=> $198 000
Thus, the home buyer will pay 198 000 to paid off the house he bought.

serg [7]2 years ago

6 0

Answer:

220000*.1=22000

Step-by-step explanation:

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(a) Find a vector parallel to the line of intersection of the planes −4x+2y−z=1 and 3x−2y+2z=1.

valentinak56 [21]

Find the intersection of the two planes. Do this by solving for z in terms of x and y ; then solve for y in terms of x ; then again for z but only in terms of x.

-4x + 2y - z = 1 ==> z = -4x + 2y - 1

3x - 2y + 2z = 1 ==> z = (1 - 3x + 2y)/2

==> -4x + 2y - 1 = (1 - 3x + 2y)/2

==> -8x + 4y - 2 = 1 - 3x + 2y

==> -5x + 2y = 3

==> y = (3 + 5x)/2

==> z = -4x + 2 (3 + 5x)/2 - 1 = x + 2

So if we take x = t, the line of intersection is parameterized by

r(t) = ⟨t, (3 + 5t )/2, 2 + t⟩

Just to not have to work with fractions, scale this by a factor of 2, so that

r(t) = ⟨2t, 3 + 5t, 4 + 2t⟩

(a) The tangent vector to r(t) is parallel to this line, so you can use

v = dr/dt = d/dt ⟨2t, 3 + 5t, 4 + 2t⟩ = ⟨2, 5, 2⟩

or any scalar multiple of this.

(b) (-1, -1, 1) indeed lies in both planes. Plug in x = -1, y = 1, and z = 1 to both plane equations to see this for yourself. We already found the parameterization for the intersection,

r(t) = ⟨2t, 3 + 5t, 4 + 2t⟩

3 0

2 years ago

A card is drawn at random from a standard deck of cards. What is the probability that the card is black or a face card

LenaWriter [7]

Answer:

there is a 26 out of 52 of a chance

Step-by-step explanation:

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2 years ago

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What is the coefficient of the second term of the trinomial?

Lyrx [107]

Answer:

The coefficient of the 2nd term of trinomial is 18.

Step-by-step explanation:

You can expand in a faster way by using the formula, (a+b)² = a²+2ab+b² :

(3x+3)² = (3x)² + 2(3x)(3) + 3²

= 9a² + 18a + 9

You can expand it by doing step by step :

(3x+3)² = (3x+3)(3x+3)

= 3x(3x) + 3x(3) + 3(3x) + 3(3)

= 9x² + 9x + 9x + 9

= 9x² + 18x + 9

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3 years ago

The graph of f ′ (x), the derivative of f(x), is continuous for all x and consists of five line segments as shown below. Given f

Nataliya [291]

The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.

Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.

By the fundamental theorem of calculus,

$\displaystyle f(5) = f(0) + \int_0^5 f'(x) \, dx$