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Leya [2.2K]
2 years ago
8

What is the equation of a line parallel to y=(3)/(4)x-5 and passes through (12,-2)?

Mathematics
1 answer:
Vika [28.1K]2 years ago
3 0

A parallel line has the same slope as the original line. So in this case the slope of the line is also 3/4. Now how do we know if it intersects the point? We need to adjust the y intercept.



Currently, we know the equation of the line is y= 3/4 x + b, where b is the thing we are looking for. We also have a point, which supplies the x and y. Plug that in and solve for b

-2 = (3/4)*(12) + b

You'll get b= -11

So the equation of the parallel line intersecting the point given is y= 3/4x -11.

I am assuming that the slope is 3/4 based on the way you formatted the original equation, but it's the same steps if the slope is different.

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Answer:

A

Step-by-step explanation:

Cost of the car in "n" years=25000*(1+0.05)^n

Cost of the car in 2 years=25000*(1+0.05)^2=25000*(1.05)^2=27562.5

5 0
3 years ago
Which equation represents a vertical line ?<br> y = -x <br> y = 12 <br> x = y <br> x = 12
OLEGan [10]
Y is a vertical axis
x is a horizontal axis
when drawing a line, the line drawn to them is perpendicular so lines only touching the x axis are vertical and lines touching only the y axis are horizontal

the
a vertical line is x=value

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3 years ago
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Walters savings account has a balance of $273. After 5 years, what will the amount of interest be at 5% compounded quarterly?
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The answer is $350

The formula is as follows: P(1+r/n) ^{nt}

P: Principal Amount : $273
r: Rate of interest: 5%
n: number of times the interest is compounded: 4 (Since Quarterly)
t:  number of years : 5
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Suppose that you have he option to buy an item with either cash or credit. Under which condition would you use credit?
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A researcher at a major clinic wishes to estimate the proportion of the adult population of the United States that has sleep dep
Thepotemich [5.8K]

Answer: n = 600.25 ≈ 601 ( sample size)

the minimum sample size of the adults in United State who have sleep deprivation  is 601

Step-by-step explanation:

Given that;

the confidence level = 95% = 0.05

the Margin of error E = 4% = 0.04

∴  level of significance ∝ = 1 - C.L

∝ = 1 - (95/100)

= 0.05

Z∝/2 = 0.05/2 = 0.025

Z-critical value at 95% confidence level is OR level of significance at 0.025 = 1.96 (z-table)

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n = (Z(critical) / M.E )² P ( 1 - P)

now we substitute

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n = 2401 × 0.5 × 0.5

n = 600.25 ≈ 601

Therefore the minimum sample size of the adults in United State who have sleep deprivation  is 601

6 0
3 years ago
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