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mr Goodwill [35]
3 years ago
9

QUICKKKK EXPERTS/ACE (and people that know it for sure comment) Brainiest Marked to the first correct answer

Mathematics
1 answer:
Olin [163]3 years ago
8 0
I worked them out separately if I'm correct, then the order is:

x+5y=-2
x+5y=4  These are Inconsistent

y=3x+4
-2x+y=4   These are Consistent independent

3x+y=4
-6x-2y=-8 These are coincident

Inconsistent lines=No solution
Coincident lines=exactly on top of each other
Consistent Independant= Solution, as they cross each other. 

~Hope this helps!

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Compound interest of $1000 is invested at 10% compounded continuously, the future value s at any time t in years is given by s=1
crimeas [40]

Answer: 6.93 years

Step-by-step explanation:

Given

Rate of interest is r=10\%

Future value is given by s=1000e^{0.1t}

For the investment to double itself, i.e. s=2000

\Rightarrow 2000=1000e^{0.1t}\\\Rightarrow 2=e^{0.1t}\\\\\text{Taking log both sides}\\\\\Rightarrow \ln 2=0.1t\\\\\Rightarrow t=\dfrac{\ln 2}{0.1}\\\\\Rightarrow t=6.93\ \text{years}

It takes around 6.93 years to double the investment.

8 0
2 years ago
What is area of this shape
german

Answer:

132 ft squared

Step-by-step explanation:

One way is to divide the shape into a rectangle and a triangle, by drawing a vertical line.

This gives a rectangle that is 9 by 11, so has area 99.

The triangle has a base of 11 and height of 15 - 9 = 6.

So the area of the triangle = 1/2 x b x h = 1/2 x 11 x 6 = 33

So the total area is 99 + 33 = 132.

5 0
3 years ago
How to make a mixed or whole number 7/3
eimsori [14]

Answer:

mixed number: 7/3= 2 1/3

4 0
3 years ago
Read 2 more answers
What is the domain and range for:<br> y = arcsin(tanx)
Semmy [17]
The graph looks like this, on the enclosed pic:
One feature is that it's periodic and torn (has cut-off points), meaning the domain is the same as in case of tan(x): x€R and x =/= π/2+πn.
The range equals the range of arcsin(x): -π/2<=y<=π/2 OR y€[-π/2;π/2]
Hope could understand and if it helped! :)

7 0
3 years ago
Find the measure of angle x in the figure below: A triangle is shown. At the top vertex of the triangle is a horizontal line ali
VLD [36.1K]

Answer:

x=35^\circ

Step-by-step explanation:

From the diagram which I have drawn and attached below:

56^\circ+y+51^\circ=180^\circ$ (Sum of Angles on a Straight Line)\\y=180^\circ-(56^\circ+51^\circ)\\y=73^\circ

Next, in the triangle, the sum of the three interior angles:

y+x+72^\circ=180^\circ\\$Since y=73^\circ\\73^\circ+x+72^\circ=180^\circ\\x=180^\circ-(73^\circ+72^\circ)\\x=35^\circ

The value of angle x is 35 degrees.

7 0
3 years ago
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