Answer:
The total compound return over the 3 years is 15.26%
Step-by-step explanation:
Let the initial investment sum be assumed to be X
The total return after each year can be calculated as follows:
After First year: X + (13% of X) = 1.13X
After Second year: 1.13X + (20% of 1.13X) = 1.13X + 0.226X = 1.356X
After Third year: 1.356X - (15% of 1.356X) = 1.356X - 0.2034X = 1.1526X
It is apparent from here that after the third year, the investment has increased the initial X, by 0.1526X, which is 15.26%.
The total compound return over the 3 years is 15.26%
It should be 12 ft away from the wall. Not 4 ft. You do not just subtract the difference because as you pull it away from the wall, the ladder is mostly moving horizontally with only a small vertical change.
You can use Pythagorean Theorem to find the answer. Think of the ladder as the hypotenuse of a right triangle with the wall and the ground as the legs.
a^2 + b^2 = c^2
16^2 + b^2 = 20^2
b^2 = 20^2 - 16^2
b^2 = 144
b = 12 ft
Ok so what we need to do is:
<span>p = 312/624 = 0.500 best estimate
mean is p N = (0.500) 624 = 312
standard deviation is sqrt[Np(1-p)] = 12.5
If we approximate the binomial by a Normal
we would be using
mu = 312, s.d = 12.5
and the 99% C.I. is
mean +- 2.57 s.d
we convert the mean to p by dividing by 624
so corresponding C.I. for p would be 0.500+ - (2.57)(12.5)/624
or 0.500+- 0.051
</span>I hope this is useful for you
Answer:
9.5 hours
Step-by-step explanation:
Your general equation is this:
y = mh + b
There is no b value because there is no starting value of miles.
y is the total number of miles driven. m is the amount of miles per hour. h is the number of hours.
570 = 60h
To find h, divide both sides by 60.
h = 9.5 hours
Hope this helps!
