Answer: Daria earns a fixed amount of $55 for each television.
Step-by-step explanation:
Let a represent the fixed amount that Daria earns for each television.
Daria earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. This means that if she sells b televisions with extended warranties, the total amount that she would earn is
ab + 25b
If Daria sells 14 televisions with extended warranties,she earns $1,120. Therefore,
14a + 14 × 25 = 1120
14a + 350 = 1120
14a = 1120 - 350
14a = 770
a = 770/14
a = 55
Answer:
Distance =√(x₁ - y₁)²+ (x₂ - y₂)² = √97 = 9.85
Step-by-step explanation:
The Matrix X and Y could also be referred to as vectors in Rⁿ dimensions.
if Vector X = ( x₁ , x₂) and Vector Y = (y₁ , y₂)
then, Distance (X-Y) = ||X-Y|| = √(x₁ - y₁)²+ (x₂ - y₂)²
where, x₁ = 8, x₂ = -5 and y₁ = -1 , y₂ = -9
Distance = √(8 - (-1))²+ (-5 - (-9))² = √9² + 4² =√97 = 9.85
Answer:
$111.59
Step-by-step explanation:
The total amount of the purchase was the cost of the computer plus the sales tax:
$1,257*1,06= $1,332.42
Now, to determine the interest that they will have to pay, you have to consider that the interest rate is 16,75% APR that is the annual percentage rate but as only 6 month have passed, the interest rate at this point that they have to pay is 8.375%:
$1,332.42*8.375%= $111.59
The interest that they will be charged is $111.59
So we want to know what do we need to measure to determine the wavelength of the wave on the image. A wavelength is the distance between peaks of the wave. More generally, the distance on which the wave shape repeats. So on the image we need to measure X to determine the wavelength. So the correct answer is X.
Answer:

Step-by-step explanation:
So we have the inequality:

Definition of Absolute Value:

Note that the sign is flipped in the second case because we multiplied by a negative.
Add 5 to both sides to both equations:

Merge:

And we're done!