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k0ka [10]
4 years ago
6

A 4-bedroom, 4-bath 4,875 square feet house was listed at $445,000. Andreas, the seller, accepted an offer that was 95% of the l

isting price. What price per square foot did he get for the house
Mathematics
1 answer:
klasskru [66]4 years ago
8 0

Answer: He gets $86.71 per square foot

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

<em>Area = 4,875 square feet </em>

<em>Price = $445,000 </em>

First, we have to divide the price of the house by the area, to obtain the price per square foot:

Mathematically speaking:

$445,000 / 4,875 square feet = $91.2 per square foot (original price)

Now we have to multiply it by the offer in decimal form (95/100 =0.95)

$91.2 x 0.95 = 86.71 per square foot

He gets $86.71 per square foot.

Feel free to ask for more if needed or if you did not understand something.

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mariarad [96]
Comment
You have to begin by declaring what g(f(x)) means. It means that wherever you see an x in g(x) you put in f(x).

I
t will look like this to start with
g(f(x)) = (f(x) + 5) / (f(x) 

Now substitute into this for g(-3)

g(x^2 + 5) = (x^2 + 5 + 5)/(x^2 + 5) It's time to use some numbers.
g(- 3) = ((-3)^2 + 10)/( (-3)^2 +5)
g(-3) = ( 9 + 10 ) / ( 9 + 5)
g(-3) = (19)/14 <<<<<< answer.
C <<<< answer. 
8 0
3 years ago
Determine whether 81 − 49n4 is a difference of two squares. If so, factor it. If not, explain why.
Mumz [18]

We have

81-49n^4=9^2-(7n^2)^2

so this is indeed a difference of squares. Factorizing would give

81-49n^4=(9-7n^2)(9+7n^2)

making the answer D.

We can further factor the first term here and write

9-7n^2=3^2-(\sqrt 7\,n)^2=(3-\sqrt7\,n)(3+\sqrt7\,n)

but that's clearly out of the scope of this question.

7 0
3 years ago
Complete the
nydimaria [60]

Answer:

8th: 23

11th: 32

15th: 44

22nd: 65

18th: 53

Step-by-step explanation:

The pattern is adding 3 each time:

2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65

Hope it helps!

4 0
3 years ago
PARTIES Louise is having a party.
just olya [345]

Answer:

32 guests

Step-by-step explanation:

96 divided by 3

3 0
3 years ago
Write the linear equation that gives the rule for this table.
Maksim231197 [3]

to get the equation of any straight line all we need is two points, well, let's just grab them from the table.

hmmm let's use (-49 , -39) and hmmm say (67 , 77)

(\stackrel{x_1}{-49}~,~\stackrel{y_1}{-39})\qquad (\stackrel{x_2}{67}~,~\stackrel{y_2}{77}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{77}-\stackrel{y1}{(-39)}}}{\underset{run} {\underset{x_2}{67}-\underset{x_1}{(-49)}}}\implies \cfrac{77+39}{67+49}\implies \cfrac{116}{116}\implies 1

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-39)}=\stackrel{m}{1}(x-\stackrel{x_1}{(-49)}) \\\\\\ y+39=1(x+49)\implies y+39=x+49\implies y=x+10

8 0
3 years ago
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