Answer:
- The first mistake was in not taking 18% off the iPad price. A second mistake was in using an incorrect value for the sales tax multiplier. Those two mistakes together are why the answer is incorrect.
- ($575 +0.82·2·499)·1.08875 = $1517.02
Step-by-step explanation:
iPads are 18% off on the day of purchase, so they should be charged at ...
100% -18% = 82%
of full price. The sum shown includes two iPads at $499 each, without any discount. The total price is too high by $179.64.
The tax rate is given as 8.875%, so the multiplier on price will be ...
100% +8.875% = 108.875% = 1.08875
The multiplier used by the student in the problem is 1.0875, so is too low.
_____
A correct computation could be written as ...
($575 + 2×499×0.82)×1.08875 ≈ $1517.02
Answer:
Step-by-step explanation:
F(x) = x² - 2x + 1
= (x - 1)²
By comparing this equation with the vertex form of the quadratic equation,
y = (x - h)² + k
Here, (h, k) is the vertex
Vertex of the parabola → (1, 0)
x-intercepts → (x - 1)² = 0
x = 1
y-intercepts → y = (0 - 1)²
y = 1
Now we can draw the graph of the given function,
From this graph,
As x → 0,


f(0) = (0 - 1)²
= 1
Since, 
Therefore, given function is continuous at x = 0.
Step-by-step explanation:
6(p+3)-6(p+5)=6p+18-6p-30=-12
Answer:
Diego is 14 years old.
Sister is 19
Step-by-step explanation:
x = Diego's age
<u>x</u><u> </u><u>+</u><u> </u><u>2</u><u>4</u>
2x-9 = 2
First to get rid of the fraction we multiply each side by 2
2(2x-9) = 2((x+24)/2)
4x-18 = x+24
The we isolate x
4x-18 = x+24
<u>-x+18 -x+18</u>
<u>3x</u> = <u>42</u> Now we divide each side 3
3 3
x = 14
So Diego is 14
Now we can solve for his sister. We can use one of the two equations from earlier to do this.
Plug 14 in for x and then solve for his sister
2(14)-9
28-9
19
His sister is 19