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3 years ago

7

How are the ordered pair (4,9) and (4,-9) similar, and how are they different?

1 answer:

melamori03 [73]3 years ago

3 0

Answer:

Both of the points are in the same x-axis (which is 4). However, they are different because one of them is shifted 9 units up and the other one is shifted 9 units down (their y-axis are different). Their quadrants are also different since (4,9) is at the first quadrant, while (4,-9) is at the fourth quadrant.

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Annual rent $ 7,380

jeyben [28]

Answer:

Part A:

Rent = $7380

Mortgage payments = $9800

Insurance = $145

Taxes, insurance, maintenance = $1780+1050$ = $2830

Loss of Interest on security deposit = (650*6%) = $39

Interest lost on down payment and closing cost = (4,500*6%) = $270

Growth in equity = $225

Annual appreciation = $1700

Tax savings for mortgage interest = (9,575*28%) = $2,681

Tax savings for property taxes = (1,780*28%) = $498

Total rental cost = $7,380+145+39=7,564$ dollars

Total buying costs = $9,800+2,830+270-225-1,700-2,681-498=7,796$ dollars

Part B:

You should consider rent because the cost of renting is less than the cost of buying.

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3 years ago

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

ludmilkaskok [199]

Answer:

$\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}$

Step-by-step explanation:

Given:

$y = \ln{\left(\dfrac{x + 1}{x - 1}\right)^{\frac{1}{2}}$

using the properties of log we can take the power 1/2 and multiply it.

$y = \dfrac{1}{2}\ln{\left(\dfrac{x + 1}{x - 1}\right)$

now we can differentiate:

$\dfrac{dy}{dx} = \dfrac{1}{2}\dfrac{1}{\left(\dfrac{x + 1}{x - 1}\right)}\left(\dfrac{d}{dx}\left(\dfrac{x+1}{x-1}\right)\right)$

$\dfrac{dy}{dx} = \dfrac{1}{2}\left(\dfrac{x - 1}{x + 1}\right)\left(- \dfrac{2}{\left(x - 1\right)^{2}}\right)$

$\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}$

this is our answer!

8 0

3 years ago

Find the slope of the line that passes through (1, 8) and (10, 1).

leonid [27]

Answer:

$m = \frac{1 - 8}{10 - 1} = - \frac{ 7}{9} \\$

Slope(gradient)=

$-\frac{7}{9}$

Good luck!

Intelligent Muslim,

From Uzbekistan.

8 0

3 years ago

Read 2 more answers

if the kinetic energy of an aeroplane moving at a velocity of 100m/s is 200j ,what is the mass of the aeroplane

Black_prince [1.1K]

Answer:

<u>0.04kg</u>

Step-by-step explanation:

Kinetic energy Formula: eK=0.5×m×v²

to work out mass

we can rearrange the formula and make it:

~m=eK÷(0.5×v²)

now insert the missing digits into the formula:

m=200÷(0.5×100²)

work it out, and you get your answer

m=0.04kg

Hopefully this helped-have a good day)

8 0

2 years ago

When you owe money, you have a negative balance. You owe $200 to your bank. You pay $30 back. What is your new bank balance?

Pachacha [2.7K]

-170$
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5 0

3 years ago

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