Well parallel means that it's going to stay next to a line, but never touch the other line. In order for this to happen, the equation of the line needs to have the same slope as the other line's equation. So, keep the slope the same, but you'll need a new y-intercept.
<em>Rewrite the equation:
y=-1/3x+b
Plug in your points (9,-1):
-1=(-1/3)(9)+b
-1=-3+b
Add 3 to both sides:
2=b
Plug b into your new equation:
y=-1/3x+2 *The answer!! :)
</em>
Answer:
x = 9
Perimeter = 74
Area = 342
Step-by-step explanation:
First, find x. to do so, set your formula up as
18 = 8x - 54
18 + 54 = 8x
72 = 8x
72/8 = x
9 = x
Now that you have x, find your missing side
2x + 1 = y, x
2 * 9 + = y
19 = y
Your perimeter is P = 2(l+W)
P = 2(18 * 19)
P = 74
Your area is A = wl
A = 19 * 18
A = 342
<h3>
Answer: 445.20 dollars</h3>
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Explanation:
There are two approaches.
The slightly longer approach will have us take 6% of 420 to get 0.06*420 = 25.20
So 25.20 is the amount of tax you pay on top of the original $420. The total bill is 420+25.20 = 445.20 dollars
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The shortcut is to multiply 420 by 1.06 to get 420*1.06 = 445.20
The 1.06 multiplier indicates an increase of 6%
We can think of it it as 1.06 = 1 + 0.06 = 100% + 6%
Lets use the distributive property to re-write this:-
18 + 36
2(9 + 18)
To make sure of this, lets solve
2*9 = 18
2*18 = 36
36 + 18 = 54
54 = 54 PERFECT
Answer: 2(9 + 18)
Total interest on the loan = 185.63
Total principal of the loan = 3,000
Total interest + principal = 3,000 + 185.63
Total future value of the loan = 3,185.63
The tenor of the loan = 9 months
Monthly payment = Total future value of loan/ number of months
Monthly payment = 3,185.63/9 = 353.9588
Monthly payment = $353.96 (Rounded to nearest cent)