B) If the line is parallel, that means the slope is the same.
The slope for the original line is
=
.
The second form of coral line would be y = -1/4x + (any number). You could use
y = -1/4x + 3.c) Solve 12x = 24 + 3y for y.
3y = 12x - 24
y = 4x - 8
Perpendicular lines have negative reciprocal slopes... the negative reciprocal for -1/4 is 4. So
yes, the third coral structure is perpendicular to the first coral.
Answer:
A = $6,700(1 +0.0865^t)
APY = 8.65%
Step-by-step explanation:
Daily compounding of interest results in an annual growth factor of ...
gf = (1 +r/365)^365 . . . . for APR = r
Your growth factor is ...
gf = (1 +0.083/365)^365 ≈ 1.086532
Then the growth rate (APY) is ...
APY = gf -1 ≈ 8.65%
The account value is multiplied by the growth factor each year, so after t years will be ...
A = P(1 +APY)^t
A = $6,700(1 +0.0865)^t . . . . . . . 0.0865 is the annual growth rate
Answer:
$389.35
Step-by-step explanation:
A certain computer costs $599.00 at Best Buy. On Black Friday, it is on sale for 35% off.
So, after 35% off the price of the computer will reduce from $599.00.
We are asked to find the cost of the computer on Black Friday.
Therefore, the price of the computer will reduce by ![[599 \times \frac{35}{100}] = 209.65](https://tex.z-dn.net/?f=%5B599%20%5Ctimes%20%5Cfrac%7B35%7D%7B100%7D%5D%20%3D%20209.65)
Dollars.
And the reduced price on the Black Friday will be $(599 - 209.65) = $389.35 (Answer)
Answer:
The original cost of the scarf was $40.
Step-by-step explanation:
Answer:
x = 1/4
Step-by-step explanation:
Solve for x:
1 - 2 (1 - 2 x) = 0
Hint: | Distribute -2 over 1 - 2 x.
-2 (1 - 2 x) = 4 x - 2:
4 x - 2 + 1 = 0
Hint: | Group like terms in 4 x - 2 + 1.
Grouping like terms, 4 x - 2 + 1 = 4 x + (1 - 2):
4 x + (1 - 2) = 0
Hint: | Evaluate 1 - 2.
1 - 2 = -1:
4 x + -1 = 0
Hint: | Isolate terms with x to the left hand side.
Add 1 to both sides:
4 x + (1 - 1) = 1
Hint: | Look for the difference of two identical terms.
1 - 1 = 0:
4 x = 1
Hint: | Solve for x.
Divide both sides by 4:
Answer: x = 1/4
