Answer:
Step-by-step explanation:
we know that
The given equation y=5 is a horizontal line (is parallel to the x-axis)
The slope of the given line is equal to zero
A perpendicular line to the given line is a vertical line (parallel to the y-axis)
so
The equation of a vertical line is equal to the x-coordinate of the point that passes through it
The point that passes through it is (-4,-6)
therefore
The equation of the perpendicular line is
Answer:
B and D
Step-by-step explanation:
B:
Anything to a negative power means that it is 1/that to the positive power.
E.g. x^-1 = 1/x^1
In other words, anything to the power of a negative switches sides of a fraction (i.e. if in numerator moves to denominator and vice versa.)
1/x^-1 = 1/1/x^1 which is just equal to x, because there are x number of 1/xs in one (1/x * x =1) Therefore Option B is equal to just x.
D: (assuming the first given term is x^1/3 and not X1/3 (?) Correct me if I'm wrong).
x^1/3 * x^1/3 * x^1/3 is also equal to just x.
This is because when multiplying together terms with the same base (x in this case) the exponents just add together, so:
x^1/3 * x^1/3 * x^1/3 = x^(1/3 +1/3 +1/3) = x^1 = x.
Therefore B and D are equivalent because they both equal x.
Hope this helped!
(4+5i)(4-5i)=(4)²-(5i)²=16-25(i)²=16-25(-1)=16+25=41
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
