20+(-3.05)+(-9.8)=20-3.05-9.8=7.15
For a you have to solve 2 solutions , first 2x=12
6=x then you plug that back in, 12+8y=12
8y=0
y=0
(6,0)
So the equation has to pass through (6,-1) and be perpendicular to y = -2x + 8.
The slope is -2, and to get the slope of a line perpendicular to another line you have to find the negative reciprocal of that slope. That means -2 is equal to
-2/1, and if you flip those numbers and find the opposite of that number making it positive, the slope of a line perpendicular to it is 1/2.
But the line also has to pass through (6,-1), so we have to find the y-intercept of the new line.
To do that, you multiply 6(the x) by the 1/2(the slope) and get 3. Then you subtract 3(previous answer) from -1(the y) and get -4. That means the y-intercept is -4!
All that's left is to build the equation with this information. The equation is:
y = -4 + 1/2x
Hope this helps!
The first thing thing you must do is create an equation for this problem. Remembering that 7.75% = 0.0775
($4,100 × 0.0775 + $4,100 ) + $600
Now, all you have to do is solve it. You will first have to start with the numbers in the parenthesis using the order of operation (PEMDAS).
P = Parenthesis
E = Exponent
M = Multiplication
D = Division
A = Addition
S = Subrtaction
$4,100 × 0.0775 + $4,100 ) + $600
$4,417. 75 + $4,100 + $600
$4,417. 75 + $600 = $5,017.75
Danielle made $5,017. 17 last week.
I hope this helps! :)
