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2 years ago

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After purchasing a home for $160,000, the homeowner noticed the suggested value of her house was depreciating (going down) each

year by 5% for at least the 6 years she lived there

1 answer:

olga_2 [115]2 years ago

3 0

Answer:

Step-by-step explanation:

It’s c 111,734

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Find the equation of the line that passes through the point of intersection of x + 2y = 9 and 4x -2y = -4 and the point of inter

Rudik [331]

Answer:

$y=-6x+10$

Step-by-step explanation:

The point of intersection of

$x+2y=9...eqn1$

and

$4x-2y=-4...eqn2$

is the solution of the two equations.

We add equation (1) and equation(2) to get,

$x+4x+2y-2y=9+-4$

$\Rightarrow 5x=5$

$\Rightarrow x=1$

We put $x=1$ into equation (1) to get,

$1+2y=9$

$\Rightarrow 2y=9-1$

$\Rightarrow 2y=8$

$\Rightarrow y=4$

Therefore the line passes through the point, $(1,4)$ .

The line also passes through the point of intersection of

$3x-4y=14...eqn(3)$

and

$3x+7y=-8...eqn(4)$

We subtract equation (3) from equation (4) to obtain,

$3x-3x+7y--4y=-8-14$

$\Rightarrow 11y=-22$

$\Rightarrow y=-2$

We substitute this value into equation (4) to get,

$3x+7(-2)=-8$

$3x-14=-8$

$3x=-8+14$

$3x=6$

$x=2$

The line also passes through

$(2,-2)$

The slope of the line is

$slope=\frac{4--2}{1-2} =\frac{6}{-1}=-6$

The equation of the line is

$y+2=-6(x-2)$

$y+2=-6x+12$

$y=-6x+10$ is the required equation

4 0

3 years ago

John currently has $5000 in his savings

Alexus [3.1K]

John has $5,000 in his savings. That’s the total.
He has to give his sister $50 for her birthday.
He also spends $450 for his car payment.
We can easily put this into an equation.
50x-450=5000
Now we have to solve it.
50x-450=5000
-450 -450
50x=5000-450
50x=4550
50x/50=4550/50
x=91
So it will take 91 months to spend his $5,000.

7 0

2 years ago

The price of 8 -minute phone call is $2.80 What is the price of 18 -minute phone call?

notsponge [240]

Answer:

6.3

Step-by-step explanation:

what you do is divide 8 minutes by 2.80 then multiply that answer by the answer from what you divided.

7 0

3 years ago

Order from least to greatest 4.3, 3.4, 4.5, 3.45

kozerog [31]

Answer:

3.4, 3.45, 4.3, 4.5

Step-by-step explanation:

6 0

3 years ago

Find the probability that a randomly selected point within the circle falls in the white area. 60* 60* r = 4cm round to the near

quester [9]

Answer:

66.7%

Step-by-step explanation:

Please find attached the complete question

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

probability that a randomly selected point within the circle falls in the white area = degree occupied by white area / sum of angles in a circle

sum of angles in a circle = 360

degree occupied by white area = sum of angles in a circle - sum of degrees of shaded area

360 - (60 + 60) = 240

240 / 360

convert to its simplest form by dividing by 120 = 2/3

2/3 x 100 = 66.7%

4 0

3 years ago