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
It should be 14, because 8 - 2 = 6 and 12 - 4 = 8
Answer:
2) x = -2
, y = 2
3) no solution exists
Step-by-step explanation:
Solve the following system:
{-2 x - 3 y = -2
y = 2 x + 6
Hint: | Perform a substitution.
Substitute y = 2 x + 6 into the first equation:
{-2 x - 3 (2 x + 6) = -2
y = 2 x + 6
Hint: | Expand the left hand side of the equation -2 x - 3 (2 x + 6) = -2.
-2 x - 3 (2 x + 6) = (-6 x - 18) - 2 x = -8 x - 18:
{-8 x - 18 = -2
y = 2 x + 6
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for x:
{-8 x - 18 = -2
y = 2 x + 6
Hint: | Isolate terms with x to the left hand side.
Add 18 to both sides:
{-8 x = 16
y = 2 x + 6
Hint: | Solve for x.
Divide both sides by -8:
{x = -2
y = 2 x + 6
Hint: | Perform a back substitution.
Substitute x = -2 into the second equation:
Answer: {x = -2
, y = 2
Answer:
63
Step-by-step explanation:
90+13x+1+28x+7=180
98+41x=180
41x=82
x=2
Plugging in the value of x, we get:
28x+7=28(2)+7=56+7=63
Since the "leading" runner in a race would be found in the first position, because he or she is in the lead, it means they are first, then I suppose I would find the "leading coefficient" in the first place in a polynomial as well.
