20% off means u r paying 80%
0.80(74) = 59.20 (without tax)
sales tax is 6.25%...
59.20 + 0.0625(59.20) = 59.20 + 3.70 = $ 62.90 <==with tax included
Let's solve the equation 2k^2 = 9 + 3k
First, subtract each side by (9+3k) to get 0 on the right side of the equation
2k^2 = 9 + 3k
2k^2 - (9+3k) = 9+3k - (9+3k)
2k^2 - 9 - 3k = 9 + 3k - 9 - 3k
2k^2 - 3k - 9 = 0
As you see, we got a quadratic equation of general form ax^2 + bx + c, in which a = 2, b= -3, and c = -9.
Δ = b^2 - 4ac
Δ = (-3)^2 - 4 (2)(-9)
Δ<u /> = 9 + 72
Δ<u /> = 81
Δ<u />>0 so the equation got 2 real solutions:
k = (-b + √Δ)/2a = (-(-3) + √<u />81) / 2*2 = (3+9)/4 = 12/4 = 3
AND
k = (-b -√Δ)/2a = (-(-3) - √<u />81)/2*2 = (3-9)/4 = -6/4 = -3/2
So the solutions to 2k^2 = 9+3k are k=3 and k=-3/2
A rational number is either an integer number, or a decimal number that got a definitive number of digits after the decimal point.
3 is an integer number, so it's rational.
-3/2 = -1.5, and -1.5 got a definitive number of digit after the decimal point, so it's rational.
So 2k^2 = 9 + 3k have two rational solutions (Option B).
Hope this Helps! :)
Answer:
length=16feet width=12feet
Step-by-step explanation:
This may not be the best way, i just stumbled upon the answer using this.
I knew 14*14=196, which is relatively close to 192.
Then, I took away 2 from one of the 14s and added it to the other 14.
14-2=12 14+2=16
Apparently, 16*12 is 192, so that's the answer.
What is the acutal question
100 - 20 = 80
179.00 = 80%
179.00 / 80 = 2.2375 = 1%
1% x 100 = 100%
So, 2.2375 x 100 = 100%
Therefore the original price was 223.75
