Answer:
the total price of the CD including tax is $11.984
Step-by-step explanation:
The computation of the total price of the CD including tax is shown below:
The Selling price of the CD is $14
CD is 20% off
And, the sales tax rate is 7%
So, the total price of the CD is
= ($14 - $14 × 20%) × (1.07)
= $11.2 × 1.07
= $11.984
Hence, the total price of the CD including tax is $11.984
Answer:
x = 31/35
, y = 8/5
Step-by-step explanation:
Solve the following system:
{7 x - 2 y = 3
14 x + y = 14
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for y:
{7 x - 2 y = 3
14 x + y = 14
Hint: | Solve for y.
Subtract 14 x from both sides:
{7 x - 2 y = 3
y = 14 - 14 x
Hint: | Perform a substitution.
Substitute y = 14 - 14 x into the first equation:
{7 x - 2 (14 - 14 x) = 3
y = 14 - 14 x
Hint: | Expand the left hand side of the equation 7 x - 2 (14 - 14 x) = 3.
7 x - 2 (14 - 14 x) = (28 x - 28) + 7 x = 35 x - 28:
{35 x - 28 = 3
y = 14 - 14 x
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for x:
{35 x - 28 = 3
y = 14 - 14 x
Hint: | Isolate terms with x to the left hand side.
Add 28 to both sides:
{35 x = 31
y = 14 - 14 x
Hint: | Solve for x.
Divide both sides by 35:
{x = 31/35
y = 14 - 14 x
Hint: | Perform a back substitution.
Substitute x = 31/35 into the second equation:
Answer: {x = 31/35
, y = 8/5
1. 0, -9, 16
2. 0
3. A. Right, left
B. Given
C. Given
D. -9
