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il63 [147K]
3 years ago
11

If b=a, where one the number line will b appear

Mathematics
1 answer:
Mashcka [7]3 years ago
7 0
Right on top of 'a'. They'll look like one single point on the number line.
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A construction company purchased some equipment costing $300,000. The value of the equipment depreciates
goldfiish [28.3K]

Answer:

11.9\ years  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

V=P(1-r)^{x}  

where  

V is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

P=\$300,000\\r=14\%=14/100=0.14\\V=\$50,000

substitute the values and solve for x

50,000=300,000(1-0.14)^{x}  

(50,000/300,000)=(0.86)^{x}  

(5/30)=(0.86)^{x}  

Apply log both sides

log(5/30)=(x)log(0.86)  

x=log(5/30)/log(0.86)  

x=11.9\ years  

4 0
3 years ago
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Help please!!!! Which system of equations has no solution???
brilliants [131]
Is the bottom right one
3 0
3 years ago
PLEASE HELP!!! Write the equation of a line that goes through the point (6, 3) and is perpendicular to the line y = 4x + 1.
Tpy6a [65]

For this case we have that by definition, the equation of a line in the point-slope form is given by:

y-y_ {0} = m (x-x_ {0})

Where:

m: It is the slope of the line and (x_ {0}, y_ {0})is a point through which the line passes.

We have the following equation of the slope-intersection form:

y = 4x + 1

Where the slope is m = 4

By definition, if two lines are perpendicular then the product of their slopes is -1.

Thus, a perpendicular line will have a slope:

m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {4}\\m_ {2} = - \frac {1} {4}

Thus, the equation will be of the form:

y-y_ {0} = - \frac {1} {4} (x-x_ {0})

Finally we substitute the given point and we have:

y-3 = - \frac {1} {4} (x-6)

Answer:

Option B

8 0
3 years ago
What is the y-coordinate for the solution to the following system of equations?
AURORKA [14]
6x + 9y =36 is the Answer
6 0
3 years ago
A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 120 feet per secon
Makovka662 [10]

Answer:

The maximum height is reached after 3.75 seconds.

Step-by-step explanation:

Assuming the deceleration due to gravity is unaided by air resistance, gravity causes the ball to lose vertical speed at the rate of 32 ft/s every second. The initial vertical speed of 120 ft/s will decline to zero when t satisfies ...

... 120 ft/s - (32 ft/s²)t = 0

... (120 ft/s)/(32 ft/s²) = t = 3.75 s

The ball will not go any higher after its vertical speed is zero.

6 0
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