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PSYCHO15rus [73]
3 years ago
8

Please help! Solve the following:

Mathematics
1 answer:
mihalych1998 [28]3 years ago
4 0

Answer:

n=10.

Step-by-step explanation:

\frac{45}{n^{2}-3n-4 } - \frac{3}{n-4} = \frac{2}{n+1 }

\frac{45}{n^{2}-3n-4 } -  \frac{3(n+1)}{(n+1)(n-4)} = \frac{2(n-4)}{(n+1)(n-4) }

\frac{45}{n^{2}-3n-4 } -  \frac{3n+3}{n^{2} -3x-4} = \frac{2n-8}{n^{2} -3x-4 }

45-3n-3=2n-8

45-3+8=5n

n=50/5=10

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car ​as the following utility​ function: ​U(X,Y)equals10Upper X squaredY where X is her consumption of​ Blu-ray disks with a pri
mr_godi [17]

Answer:

She consumes 30 blue ray disk and 60 DVD respectively.

Step-by-step explanation:

Consider the provided information.

U(x,y)=10x^2y

Calculate marginal utility of good

Differentiate with respect of x and y.

MU_x=20xy

MU_y=10x^2

Her consumption of​ Blu-ray disks (X) with a price of ​$40 and Y is her consumption of DVDs with a price of ​$10.

The ratio of marginal utility of good x to y is equal to the price ratio:

\frac{MU_x}{MU_y}=\frac{P_x}{P_y}

Substitute the respective values.

\frac{20xy}{10x^2}=\frac{40}{10}

\frac{2y}{x}=4

2y=4x

y=2x

She has ​$1800 with which to spend on the two goods.

Her consumption of​ Blu-ray disks (X) with a price of ​$40 and Y is her consumption of DVDs with a price of ​$10. She has ​$1800 with which to spend on the two goods.

Therefore, 40x+10y=1800

4x+y=180

Substitute the value of y in above equation.

4x+2x=180

6x=180

x=30

Thus, y=60

She consumes 30 blue ray disk and 60 DVD respectively.

6 0
3 years ago
What is the value of y in the equation 2 + y = −3?
SOVA2 [1]

I believe that y is equal to -5.

y=-5

7 0
3 years ago
529 = 50x+625 solve for x
cupoosta [38]

529 = 50x + 625

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8 0
3 years ago
If you are planning to climb more than 7000 feet above sea level,<img src="https://tex.z-dn.net/?f=w%3D%28%5Cfrac%7Ba-7000%7D%7B
rusak2 [61]

Replace w with 10 and solve for a:

10 = (a-7000/2000 + 2)

Subtract 2 from both sides:

8 = a-7000 /2000

Multiply both sides by 2000:

16,000 = a-7000

Add 7000 to both sides:

a = 23,000

You can climb 23,000 feet

The explanation is replacing w with the number of weeks ( 10) and solving for a. You can then check by replacing a with the solution and solving for w.

6 0
3 years ago
Read 2 more answers
XY and BD are parallel lines
madreJ [45]

Answer:

a) they are corresponding angles

b) B=55° (proven)

C=55 (Angles opposite equal sides)

B+C+X=180° ( sum of angles of a triangle)

55°+55°X=180

110°+X=180°

X=180°-110°

X=70°

6 0
2 years ago
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