$58.50
30% of 45 is 13.5, and 13.50 plus 45 is 58.50
X + 2y = 11
2x + y = 31
x = 11 - 2y
2(11 - 2y) + y = 31
22 - 4y + y = 31
3y = - 9
y = - 3
x = 11 - 2(-3)
x = 11 + 6
x = 17
The equation, in point-slope form, of the line that is parallel to the given line and passes through the point is y - 1 = 3/2(x+3)
<h3>Equation of a line</h3>
A line is the distance between two points. The equation of a line in point-slope form is expressed as:
y - y0 = m(x-x0)
Given the coordinates (-2, -4) and (2, 2) on the line, the slope is expressed as:
Slope = 2-(-4)/2-(-2)
Slope = (6)/4
Slope = 3/2
Find the equation of the line
y -(1) = 3/2(x-(-3))
y - 1 = 3/2(x+3)
Hence the equation, in point-slope form, of the line that is parallel to the given line and passes through the point is y - 1 = 3/2(x+3)
Learn more on equation of the line here: brainly.com/question/18831322
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First, put them directly above each other.
5a+2s=48
3a+2s=32
You need to combine these, but in order to do so, we want to get rid of one of the letters. The S's line up very well, and all we need to do is multiply the bottom equation by a negative 1. This will look like this,
-3a-2s=-32 (and add it to the other equation)
5a+2s=48
This gives you
2a=16
Divide both sides by 2 to get a by itself.
a=8, is your answer!
If it asked for s, you would put 8 into whichever equation seems easier for you, and then its just simple crunching it out.
Hope this helped!
Answer: A = 72000(1.034)^8
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = initial population
r = growing rate (decimal form)
t= years
A = population after t years
Replacing with the values given:
A = 72000 (1+ 3.4/100) ^8
A = 72000(1.034)^8
Feel free to ask for more if needed or if you did not understand something
