Answer:
Before Tax Price: $110.00
Sale Tax: 6.10% or $6.71
After Tax Price: ($116.71)
Step-by-step explanation:
x = 10.22 in
Solution:
Width of the figure = x in
Length of the figure = (2x + 5) in
Area of the figure = 260 in²
<u>To find the value of x:</u>
<em>Area of the figure = length × width</em>
length × width = 260
(2x + 5) × x = 260
![2x^2+5x=260](https://tex.z-dn.net/?f=2x%5E2%2B5x%3D260)
Subtract 260 from both sides of the equation.
![2x^2+5x-260=0](https://tex.z-dn.net/?f=2x%5E2%2B5x-260%3D0)
Factor the above quadratic expression.
Quadratic equation formula:
![$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}](https://tex.z-dn.net/?f=%24x%3D%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E%7B2%7D-4%20a%20c%7D%7D%7B2%20a%7D)
![$x=\frac{-5 \pm \sqrt{5^{2}-4 \cdot 2(-260)}}{2 \cdot 2}](https://tex.z-dn.net/?f=%24x%3D%5Cfrac%7B-5%20%5Cpm%20%5Csqrt%7B5%5E%7B2%7D-4%20%5Ccdot%202%28-260%29%7D%7D%7B2%20%5Ccdot%202%7D)
![$x=\frac{-5 \pm \sqrt{2105}}{4}](https://tex.z-dn.net/?f=%24x%3D%5Cfrac%7B-5%20%5Cpm%20%5Csqrt%7B2105%7D%7D%7B4%7D)
![$x=\frac{-5+\sqrt{2105}}{4}, \ x=\frac{-5-\sqrt{2105}}{4}](https://tex.z-dn.net/?f=%24x%3D%5Cfrac%7B-5%2B%5Csqrt%7B2105%7D%7D%7B4%7D%2C%20%5C%20%20x%3D%5Cfrac%7B-5-%5Csqrt%7B2105%7D%7D%7B4%7D)
x = 10.22, x = –12.72006
Dimension of the figure cannot be measured in negative terms.
Hence x = 10.22 in.
Answer:
y = 2x - 3
Step-by-step explanation:
y = mx + b
m = (y2-y1)/(x2-x1)
m = (3-(-3))/(3-0)
m = 6/3
m = 2
y = mx + b
y = 2x + b
3 = 2(3) + b
3 = 6 + b
b = -3
therefore
y = 2x - 3
32x + 53 = 501
-53 - 53
<u>32x</u> = <u>448</u>
32 32
x = 14
Answer:
The first plan of $49 will be best plan for her.
Step-by-step explanation:
Katherine used 1479 minutes call in the last 6 months.
So, the average monthly call that Katherine made is
minutes.
Now, there are two plans for mobile recharge.
One is 250 minutes call time for $49 and the other is 350 minutes call time for $65.
Since 246.5 < 250 and Katherine does not want to spend more for minutes she won't use, then the first plan of $49 will be the best plan for her. (Answer)