Answer:
x = 1
y = -1
Point = (1,-1)
Step-by-step explanation:
2x + 3y = -1 = y = -2/3 - 1/3
5x + 2(-2/3 - 1/3) = 3
5x - 1 1/3 - 2/3 = 3
5x - 2 = 3
<u> +2 +2</u>
5x = 5
<em><u>x = 1</u></em>
2(1) + 3y = -1
2 + 3y = -1
<u>-2 -2</u>
3y = -3
<em><u>y = -1</u></em>
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Step 1: Find the area of the larger rectangle
Area of a rectangle = base x height
Area = 4 x 3 = 12
Step 2: Find the area of the other rectangle
The tricky part about this one is that we aren't given the length of this rectangle. We do know, however, that the whole base of the figure is 6 and 3 units are taken up by the first rectangle. Therefore, the length of this rectangle is 3.
Area = 2 x 3 = 6
Step 3: Find the area of the figure
Now that we know the area of both rectangles by themselves, all that's left to do is add them up.
6 + 12 = 18
Answer: 18
Hope this helps!
Answer:
The population will be 240,116
Step-by-step explanation:
Exponential growth can be represented by the expression:
![P(t) = P_i\,(1+r)^t](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P_i%5C%2C%281%2Br%29%5Et)
where:
is the population at time (t)
is the initial value of the population
"r" is the annual rate of growth (written in decimal form)
and "t" is the time in years.
Therefore in this situation, P(16) is what we want to find [the population after 16 years]
the initial population
is 110,000
the rate of growth is 0.05 [decimal form of 5%]
and t is 16 years.
Replacing all these in the given functional form gives:
![P(t) = P_i\,(1+r)^t\\P(16)=110000\,(1+0.05)^16\\P(16)=240116](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P_i%5C%2C%281%2Br%29%5Et%5C%5CP%2816%29%3D110000%5C%2C%281%2B0.05%29%5E16%5C%5CP%2816%29%3D240116)
Answer:
12
Step-by-step explanation:
There are 12 numbers between 81-100